mistake when exporting numpy data to csv to pgfplots












2















I have to plot data from a numerical simulation. I perform my simulations with python and numpy. But now I want to plot the result in a LaTeX file. Since I want to be able to modify the layout without rerun the simulation, I think that exporting my results in a csv file then read this file in pgfplots is a good solution. Unfortunately, when I do this I obtain different results than when I plot with matplotlib for example.



Here is what I obtain from matplotlib:
Matplotlib result



And here is what I obtain with pgfplots:
pgfplots result



The pgfplots result has been generated with the following LaTeX code:



documentclass[12pt]{standalone} 
usepackage[T1]{fontenc}
usepackage{tikz} %
usepackage{pgfplots} %
pgfplotsset{compat=newest} %


begin{document}
begin{tikzpicture}
begin{axis}[colormap/viridis,
enlarge y limits=false,
axis equal image,
axis on top,
colorbar,
]

addplot[
matrix plot*, point meta=explicit, mesh/cols=10,
]
table[x=y, y=x,
meta=T, ignore chars={#}, col sep=comma,
]
{hydrostat.csv};

end{axis}
end{tikzpicture}
end{document}


And the file hydrostat.csv can be obtained through this link:
https://transfernow.net/103fg0a2hl44



This file has been generated from the numpy as np command (where T1 is output field, X and Y are the coordinates, ly and ly are the dimensions of the mesh):



np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)), np.reshape(T1, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


I think it is not a big deal, just a wrong configuration of pgfplots, but I can not find it.



It looks like there a miss number of rows and columns, so I tried to change mesh/cols values but the results where worst. I also try stuff like export from matplotlib in pgf format but it creates a png image so there no way to change to layout without rerun the simulation. The same is happening with matplotlib2tikz.



Thank you in advance for helping to find my mistake.










share|improve this question




















  • 1





    Does adding colormap/viridis to the options of the axis help?

    – marmot
    Mar 16 at 16:37











  • My problem is not about the colormap, but about the organization of the results. Look around the line 5 for example you go from yellowish to blue and line 6 from blue to yellowish. This is not comparable with the line or column 5 of matplotlib results. I thinks that line 5 and 6 from pgfplots should in fact be only one.

    – R. N
    Mar 16 at 16:48











  • I had a quick look at the data file. The y values run all the way up to 20. This is consistent with the plot produced by pgfplots but not at all with your first plot unless you exchange the roles of x and y there. Is that what's going on?

    – marmot
    Mar 16 at 16:59











  • I think this is part of the problem. But I switch the value of x and y in the reading of the table with the command : table[x=y, y=x,... with or without change of the mesh/rows value, and the problem mention remains.

    – R. N
    Mar 16 at 17:16






  • 1





    To me it looks as if you have transposed the data for some reason. That is, I fail to see that pgfplots is the culprit. BTW, the code formatting got destroyed in your edit.

    – marmot
    Mar 16 at 17:28
















2















I have to plot data from a numerical simulation. I perform my simulations with python and numpy. But now I want to plot the result in a LaTeX file. Since I want to be able to modify the layout without rerun the simulation, I think that exporting my results in a csv file then read this file in pgfplots is a good solution. Unfortunately, when I do this I obtain different results than when I plot with matplotlib for example.



Here is what I obtain from matplotlib:
Matplotlib result



And here is what I obtain with pgfplots:
pgfplots result



The pgfplots result has been generated with the following LaTeX code:



documentclass[12pt]{standalone} 
usepackage[T1]{fontenc}
usepackage{tikz} %
usepackage{pgfplots} %
pgfplotsset{compat=newest} %


begin{document}
begin{tikzpicture}
begin{axis}[colormap/viridis,
enlarge y limits=false,
axis equal image,
axis on top,
colorbar,
]

addplot[
matrix plot*, point meta=explicit, mesh/cols=10,
]
table[x=y, y=x,
meta=T, ignore chars={#}, col sep=comma,
]
{hydrostat.csv};

end{axis}
end{tikzpicture}
end{document}


And the file hydrostat.csv can be obtained through this link:
https://transfernow.net/103fg0a2hl44



This file has been generated from the numpy as np command (where T1 is output field, X and Y are the coordinates, ly and ly are the dimensions of the mesh):



np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)), np.reshape(T1, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


I think it is not a big deal, just a wrong configuration of pgfplots, but I can not find it.



It looks like there a miss number of rows and columns, so I tried to change mesh/cols values but the results where worst. I also try stuff like export from matplotlib in pgf format but it creates a png image so there no way to change to layout without rerun the simulation. The same is happening with matplotlib2tikz.



Thank you in advance for helping to find my mistake.










share|improve this question




















  • 1





    Does adding colormap/viridis to the options of the axis help?

    – marmot
    Mar 16 at 16:37











  • My problem is not about the colormap, but about the organization of the results. Look around the line 5 for example you go from yellowish to blue and line 6 from blue to yellowish. This is not comparable with the line or column 5 of matplotlib results. I thinks that line 5 and 6 from pgfplots should in fact be only one.

    – R. N
    Mar 16 at 16:48











  • I had a quick look at the data file. The y values run all the way up to 20. This is consistent with the plot produced by pgfplots but not at all with your first plot unless you exchange the roles of x and y there. Is that what's going on?

    – marmot
    Mar 16 at 16:59











  • I think this is part of the problem. But I switch the value of x and y in the reading of the table with the command : table[x=y, y=x,... with or without change of the mesh/rows value, and the problem mention remains.

    – R. N
    Mar 16 at 17:16






  • 1





    To me it looks as if you have transposed the data for some reason. That is, I fail to see that pgfplots is the culprit. BTW, the code formatting got destroyed in your edit.

    – marmot
    Mar 16 at 17:28














2












2








2








I have to plot data from a numerical simulation. I perform my simulations with python and numpy. But now I want to plot the result in a LaTeX file. Since I want to be able to modify the layout without rerun the simulation, I think that exporting my results in a csv file then read this file in pgfplots is a good solution. Unfortunately, when I do this I obtain different results than when I plot with matplotlib for example.



Here is what I obtain from matplotlib:
Matplotlib result



And here is what I obtain with pgfplots:
pgfplots result



The pgfplots result has been generated with the following LaTeX code:



documentclass[12pt]{standalone} 
usepackage[T1]{fontenc}
usepackage{tikz} %
usepackage{pgfplots} %
pgfplotsset{compat=newest} %


begin{document}
begin{tikzpicture}
begin{axis}[colormap/viridis,
enlarge y limits=false,
axis equal image,
axis on top,
colorbar,
]

addplot[
matrix plot*, point meta=explicit, mesh/cols=10,
]
table[x=y, y=x,
meta=T, ignore chars={#}, col sep=comma,
]
{hydrostat.csv};

end{axis}
end{tikzpicture}
end{document}


And the file hydrostat.csv can be obtained through this link:
https://transfernow.net/103fg0a2hl44



This file has been generated from the numpy as np command (where T1 is output field, X and Y are the coordinates, ly and ly are the dimensions of the mesh):



np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)), np.reshape(T1, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


I think it is not a big deal, just a wrong configuration of pgfplots, but I can not find it.



It looks like there a miss number of rows and columns, so I tried to change mesh/cols values but the results where worst. I also try stuff like export from matplotlib in pgf format but it creates a png image so there no way to change to layout without rerun the simulation. The same is happening with matplotlib2tikz.



Thank you in advance for helping to find my mistake.










share|improve this question
















I have to plot data from a numerical simulation. I perform my simulations with python and numpy. But now I want to plot the result in a LaTeX file. Since I want to be able to modify the layout without rerun the simulation, I think that exporting my results in a csv file then read this file in pgfplots is a good solution. Unfortunately, when I do this I obtain different results than when I plot with matplotlib for example.



Here is what I obtain from matplotlib:
Matplotlib result



And here is what I obtain with pgfplots:
pgfplots result



The pgfplots result has been generated with the following LaTeX code:



documentclass[12pt]{standalone} 
usepackage[T1]{fontenc}
usepackage{tikz} %
usepackage{pgfplots} %
pgfplotsset{compat=newest} %


begin{document}
begin{tikzpicture}
begin{axis}[colormap/viridis,
enlarge y limits=false,
axis equal image,
axis on top,
colorbar,
]

addplot[
matrix plot*, point meta=explicit, mesh/cols=10,
]
table[x=y, y=x,
meta=T, ignore chars={#}, col sep=comma,
]
{hydrostat.csv};

end{axis}
end{tikzpicture}
end{document}


And the file hydrostat.csv can be obtained through this link:
https://transfernow.net/103fg0a2hl44



This file has been generated from the numpy as np command (where T1 is output field, X and Y are the coordinates, ly and ly are the dimensions of the mesh):



np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)), np.reshape(T1, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


I think it is not a big deal, just a wrong configuration of pgfplots, but I can not find it.



It looks like there a miss number of rows and columns, so I tried to change mesh/cols values but the results where worst. I also try stuff like export from matplotlib in pgf format but it creates a png image so there no way to change to layout without rerun the simulation. The same is happening with matplotlib2tikz.



Thank you in advance for helping to find my mistake.







pgfplots python csv






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Mar 17 at 9:01







R. N

















asked Mar 16 at 16:35









R. NR. N

303214




303214








  • 1





    Does adding colormap/viridis to the options of the axis help?

    – marmot
    Mar 16 at 16:37











  • My problem is not about the colormap, but about the organization of the results. Look around the line 5 for example you go from yellowish to blue and line 6 from blue to yellowish. This is not comparable with the line or column 5 of matplotlib results. I thinks that line 5 and 6 from pgfplots should in fact be only one.

    – R. N
    Mar 16 at 16:48











  • I had a quick look at the data file. The y values run all the way up to 20. This is consistent with the plot produced by pgfplots but not at all with your first plot unless you exchange the roles of x and y there. Is that what's going on?

    – marmot
    Mar 16 at 16:59











  • I think this is part of the problem. But I switch the value of x and y in the reading of the table with the command : table[x=y, y=x,... with or without change of the mesh/rows value, and the problem mention remains.

    – R. N
    Mar 16 at 17:16






  • 1





    To me it looks as if you have transposed the data for some reason. That is, I fail to see that pgfplots is the culprit. BTW, the code formatting got destroyed in your edit.

    – marmot
    Mar 16 at 17:28














  • 1





    Does adding colormap/viridis to the options of the axis help?

    – marmot
    Mar 16 at 16:37











  • My problem is not about the colormap, but about the organization of the results. Look around the line 5 for example you go from yellowish to blue and line 6 from blue to yellowish. This is not comparable with the line or column 5 of matplotlib results. I thinks that line 5 and 6 from pgfplots should in fact be only one.

    – R. N
    Mar 16 at 16:48











  • I had a quick look at the data file. The y values run all the way up to 20. This is consistent with the plot produced by pgfplots but not at all with your first plot unless you exchange the roles of x and y there. Is that what's going on?

    – marmot
    Mar 16 at 16:59











  • I think this is part of the problem. But I switch the value of x and y in the reading of the table with the command : table[x=y, y=x,... with or without change of the mesh/rows value, and the problem mention remains.

    – R. N
    Mar 16 at 17:16






  • 1





    To me it looks as if you have transposed the data for some reason. That is, I fail to see that pgfplots is the culprit. BTW, the code formatting got destroyed in your edit.

    – marmot
    Mar 16 at 17:28








1




1





Does adding colormap/viridis to the options of the axis help?

– marmot
Mar 16 at 16:37





Does adding colormap/viridis to the options of the axis help?

– marmot
Mar 16 at 16:37













My problem is not about the colormap, but about the organization of the results. Look around the line 5 for example you go from yellowish to blue and line 6 from blue to yellowish. This is not comparable with the line or column 5 of matplotlib results. I thinks that line 5 and 6 from pgfplots should in fact be only one.

– R. N
Mar 16 at 16:48





My problem is not about the colormap, but about the organization of the results. Look around the line 5 for example you go from yellowish to blue and line 6 from blue to yellowish. This is not comparable with the line or column 5 of matplotlib results. I thinks that line 5 and 6 from pgfplots should in fact be only one.

– R. N
Mar 16 at 16:48













I had a quick look at the data file. The y values run all the way up to 20. This is consistent with the plot produced by pgfplots but not at all with your first plot unless you exchange the roles of x and y there. Is that what's going on?

– marmot
Mar 16 at 16:59





I had a quick look at the data file. The y values run all the way up to 20. This is consistent with the plot produced by pgfplots but not at all with your first plot unless you exchange the roles of x and y there. Is that what's going on?

– marmot
Mar 16 at 16:59













I think this is part of the problem. But I switch the value of x and y in the reading of the table with the command : table[x=y, y=x,... with or without change of the mesh/rows value, and the problem mention remains.

– R. N
Mar 16 at 17:16





I think this is part of the problem. But I switch the value of x and y in the reading of the table with the command : table[x=y, y=x,... with or without change of the mesh/rows value, and the problem mention remains.

– R. N
Mar 16 at 17:16




1




1





To me it looks as if you have transposed the data for some reason. That is, I fail to see that pgfplots is the culprit. BTW, the code formatting got destroyed in your edit.

– marmot
Mar 16 at 17:28





To me it looks as if you have transposed the data for some reason. That is, I fail to see that pgfplots is the culprit. BTW, the code formatting got destroyed in your edit.

– marmot
Mar 16 at 17:28










1 Answer
1






active

oldest

votes


















1














Short version



Thanks to the comments of marmot, we could determine that part of the problem comes from the original data in the csv file.



The problem can be solved by using the numpy/python command to export the data T1 :



np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)), np.reshape(T1.T, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


Please note the presence of the data transposed with the T1.T.



The last point is to use y dir=reverse to obtain the wanted output with pgfplots.



Long version



If I use the numpy/python code to export the data (without transpose):



np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)),  np.reshape(T1, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


I obtain the following file hydrostat.csv present in the question link or in the answer of Ulrich.



Then by using the following LaTeX code:



documentclass[12pt]{standalone} 
usepackage[T1]{fontenc}
usepackage{tikz} %
usepackage{pgfplots} %
pgfplotsset{compat=newest} %


begin{document}
begin{tikzpicture}
begin{axis}[colormap/viridis,
enlarge y limits=false,
axis equal image,
axis on top,
colorbar,
y dir=reverse,
]

addplot[
matrix plot*, point meta=explicit, mesh/cols=10,
]
table[x expr=thisrow{x}, y expr=thisrow{y},
meta=T, ignore chars={#}, col sep=comma,
]
{hydrostat.csv};

end{axis}
end{tikzpicture}
end{document}


I will obtain the resulting picture:enter image description here



I added a red circle to highlight the problem. Even if the apsect ration is the inverse of the one wanted (this can be solve by using the solution of Ulrich), in this area data are different from the matplotlib picture.



Then if I use the numpy/python code (with the transpose):



np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)),  np.reshape(T1.T, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


I will obtain the file hydrostat.csv:



# x, y, T
1.000000000000000000e+00,1.000000000000000000e+00,6.665274928193408721e-01
2.000000000000000000e+00,1.000000000000000000e+00,6.663971023015621276e-01
3.000000000000000000e+00,1.000000000000000000e+00,6.664437620670988771e-01
4.000000000000000000e+00,1.000000000000000000e+00,6.665301707977002721e-01
5.000000000000000000e+00,1.000000000000000000e+00,6.666191243753081253e-01
6.000000000000000000e+00,1.000000000000000000e+00,6.667140894072094426e-01
7.000000000000000000e+00,1.000000000000000000e+00,6.668030901761194951e-01
8.000000000000000000e+00,1.000000000000000000e+00,6.668895764592672748e-01
9.000000000000000000e+00,1.000000000000000000e+00,6.669363119300035780e-01
1.000000000000000000e+01,1.000000000000000000e+00,6.668059134476984617e-01
1.000000000000000000e+00,2.000000000000000000e+00,6.664984000034479550e-01
2.000000000000000000e+00,2.000000000000000000e+00,6.663563233698642785e-01
3.000000000000000000e+00,2.000000000000000000e+00,6.664214191117951991e-01
4.000000000000000000e+00,2.000000000000000000e+00,6.665131018225954884e-01
5.000000000000000000e+00,2.000000000000000000e+00,6.666140120616599329e-01
6.000000000000000000e+00,2.000000000000000000e+00,6.667192060591138336e-01
7.000000000000000000e+00,2.000000000000000000e+00,6.668201621659066713e-01
8.000000000000000000e+00,2.000000000000000000e+00,6.669119206097180452e-01
9.000000000000000000e+00,2.000000000000000000e+00,6.669770941226786931e-01
1.000000000000000000e+01,2.000000000000000000e+00,6.668350157237450393e-01
1.000000000000000000e+00,3.000000000000000000e+00,6.664854791213135066e-01
2.000000000000000000e+00,3.000000000000000000e+00,6.663415913719938910e-01
3.000000000000000000e+00,3.000000000000000000e+00,6.664222063383633543e-01
4.000000000000000000e+00,3.000000000000000000e+00,6.665140801477354993e-01
5.000000000000000000e+00,3.000000000000000000e+00,6.666148761882257912e-01
6.000000000000000000e+00,3.000000000000000000e+00,6.667183640856011451e-01
7.000000000000000000e+00,3.000000000000000000e+00,6.668191978934161490e-01
8.000000000000000000e+00,3.000000000000000000e+00,6.669111359852449850e-01
9.000000000000000000e+00,3.000000000000000000e+00,6.669918243907704269e-01
1.000000000000000000e+01,3.000000000000000000e+00,6.668479455078759610e-01
1.000000000000000000e+00,4.000000000000000000e+00,6.664815006196560532e-01
2.000000000000000000e+00,4.000000000000000000e+00,6.663330228538590916e-01
3.000000000000000000e+00,4.000000000000000000e+00,6.664169300798881146e-01
4.000000000000000000e+00,4.000000000000000000e+00,6.665119589458776694e-01
5.000000000000000000e+00,4.000000000000000000e+00,6.666143422671383378e-01
6.000000000000000000e+00,4.000000000000000000e+00,6.667189113521675425e-01
7.000000000000000000e+00,4.000000000000000000e+00,6.668213283281555492e-01
8.000000000000000000e+00,4.000000000000000000e+00,6.669164154775901743e-01
9.000000000000000000e+00,4.000000000000000000e+00,6.670003945605174067e-01
1.000000000000000000e+01,4.000000000000000000e+00,6.668519314279444110e-01
1.000000000000000000e+00,5.000000000000000000e+00,6.664770000644588688e-01
2.000000000000000000e+00,5.000000000000000000e+00,6.663251033169389492e-01
3.000000000000000000e+00,5.000000000000000000e+00,6.664111506008371100e-01
4.000000000000000000e+00,5.000000000000000000e+00,6.665088727699410853e-01
5.000000000000000000e+00,5.000000000000000000e+00,6.666133511753929985e-01
6.000000000000000000e+00,5.000000000000000000e+00,6.667199070068153821e-01
7.000000000000000000e+00,5.000000000000000000e+00,6.668244175028308351e-01
8.000000000000000000e+00,5.000000000000000000e+00,6.669221964566964811e-01
9.000000000000000000e+00,5.000000000000000000e+00,6.670083158660570222e-01
1.000000000000000000e+01,5.000000000000000000e+00,6.668564335409302712e-01
1.000000000000000000e+00,6.000000000000000000e+00,6.664730997869784401e-01
2.000000000000000000e+00,6.000000000000000000e+00,6.663180845314861100e-01
3.000000000000000000e+00,6.000000000000000000e+00,6.664054966081143228e-01
4.000000000000000000e+00,6.000000000000000000e+00,6.665054530423857315e-01
5.000000000000000000e+00,6.000000000000000000e+00,6.666122244948706754e-01
6.000000000000000000e+00,6.000000000000000000e+00,6.667210326937413889e-01
7.000000000000000000e+00,6.000000000000000000e+00,6.668278363313814294e-01
8.000000000000000000e+00,6.000000000000000000e+00,6.669278502659713448e-01
9.000000000000000000e+00,6.000000000000000000e+00,6.670153355264032413e-01
1.000000000000000000e+01,6.000000000000000000e+00,6.668603341518074545e-01
1.000000000000000000e+00,7.000000000000000000e+00,6.664697463550552925e-01
2.000000000000000000e+00,7.000000000000000000e+00,6.663120196443859111e-01
3.000000000000000000e+00,7.000000000000000000e+00,6.664004262050575722e-01
4.000000000000000000e+00,7.000000000000000000e+00,6.665021952648533254e-01
5.000000000000000000e+00,7.000000000000000000e+00,6.666111123890067214e-01
6.000000000000000000e+00,7.000000000000000000e+00,6.667221413104018612e-01
7.000000000000000000e+00,7.000000000000000000e+00,6.668310914276506240e-01
8.000000000000000000e+00,7.000000000000000000e+00,6.669329195149436007e-01
9.000000000000000000e+00,7.000000000000000000e+00,6.670214007442626380e-01
1.000000000000000000e+01,7.000000000000000000e+00,6.668636878941709423e-01
1.000000000000000000e+00,8.000000000000000000e+00,6.664671553565268969e-01
2.000000000000000000e+00,8.000000000000000000e+00,6.663072476998228577e-01
3.000000000000000000e+00,8.000000000000000000e+00,6.663962705305201961e-01
4.000000000000000000e+00,8.000000000000000000e+00,6.664994244361608366e-01
5.000000000000000000e+00,8.000000000000000000e+00,6.666101447363657062e-01
6.000000000000000000e+00,8.000000000000000000e+00,6.667231048960070572e-01
7.000000000000000000e+00,8.000000000000000000e+00,6.668338591735474274e-01
8.000000000000000000e+00,8.000000000000000000e+00,6.669370737822977180e-01
9.000000000000000000e+00,8.000000000000000000e+00,6.670261728290619585e-01
1.000000000000000000e+01,8.000000000000000000e+00,6.668662792153110530e-01
1.000000000000000000e+00,9.000000000000000000e+00,6.664654603829183177e-01
2.000000000000000000e+00,9.000000000000000000e+00,6.663040583623929258e-01
3.000000000000000000e+00,9.000000000000000000e+00,6.663933804084154477e-01
4.000000000000000000e+00,9.000000000000000000e+00,6.664974447369693689e-01
5.000000000000000000e+00,9.000000000000000000e+00,6.666094420860504410e-01
6.000000000000000000e+00,9.000000000000000000e+00,6.667238041750613853e-01
7.000000000000000000e+00,9.000000000000000000e+00,6.668358363404600642e-01
8.000000000000000000e+00,9.000000000000000000e+00,6.669399627501244598e-01
9.000000000000000000e+00,9.000000000000000000e+00,6.670293622727493377e-01
1.000000000000000000e+01,9.000000000000000000e+00,6.668679744632736162e-01
1.000000000000000000e+00,1.000000000000000000e+01,6.664646443897686012e-01
2.000000000000000000e+00,1.000000000000000000e+01,6.663024890447618587e-01
3.000000000000000000e+00,1.000000000000000000e+01,6.663919082297593555e-01
4.000000000000000000e+00,1.000000000000000000e+01,6.664964158667143757e-01
5.000000000000000000e+00,1.000000000000000000e+01,6.666090728974014556e-01
6.000000000000000000e+00,1.000000000000000000e+01,6.667241714870277836e-01
7.000000000000000000e+00,1.000000000000000000e+01,6.668368638159816175e-01
8.000000000000000000e+00,1.000000000000000000e+01,6.669414343107787913e-01
9.000000000000000000e+00,1.000000000000000000e+01,6.670309316686268142e-01
1.000000000000000000e+01,1.000000000000000000e+01,6.668687906109909136e-01
1.000000000000000000e+00,1.100000000000000000e+01,6.664646443897686012e-01
2.000000000000000000e+00,1.100000000000000000e+01,6.663024890447619697e-01
3.000000000000000000e+00,1.100000000000000000e+01,6.663919082297594665e-01
4.000000000000000000e+00,1.100000000000000000e+01,6.664964158667143757e-01
5.000000000000000000e+00,1.100000000000000000e+01,6.666090728974012336e-01
6.000000000000000000e+00,1.100000000000000000e+01,6.667241714870280056e-01
7.000000000000000000e+00,1.100000000000000000e+01,6.668368638159817285e-01
8.000000000000000000e+00,1.100000000000000000e+01,6.669414343107786802e-01
9.000000000000000000e+00,1.100000000000000000e+01,6.670309316686269252e-01
1.000000000000000000e+01,1.100000000000000000e+01,6.668687906109908026e-01
1.000000000000000000e+00,1.200000000000000000e+01,6.664654603829183177e-01
2.000000000000000000e+00,1.200000000000000000e+01,6.663040583623929258e-01
3.000000000000000000e+00,1.200000000000000000e+01,6.663933804084154477e-01
4.000000000000000000e+00,1.200000000000000000e+01,6.664974447369693689e-01
5.000000000000000000e+00,1.200000000000000000e+01,6.666094420860504410e-01
6.000000000000000000e+00,1.200000000000000000e+01,6.667238041750613853e-01
7.000000000000000000e+00,1.200000000000000000e+01,6.668358363404600642e-01
8.000000000000000000e+00,1.200000000000000000e+01,6.669399627501244598e-01
9.000000000000000000e+00,1.200000000000000000e+01,6.670293622727493377e-01
1.000000000000000000e+01,1.200000000000000000e+01,6.668679744632737272e-01
1.000000000000000000e+00,1.300000000000000000e+01,6.664671553565266748e-01
2.000000000000000000e+00,1.300000000000000000e+01,6.663072476998227467e-01
3.000000000000000000e+00,1.300000000000000000e+01,6.663962705305200851e-01
4.000000000000000000e+00,1.300000000000000000e+01,6.664994244361608366e-01
5.000000000000000000e+00,1.300000000000000000e+01,6.666101447363657062e-01
6.000000000000000000e+00,1.300000000000000000e+01,6.667231048960070572e-01
7.000000000000000000e+00,1.300000000000000000e+01,6.668338591735474274e-01
8.000000000000000000e+00,1.300000000000000000e+01,6.669370737822977180e-01
9.000000000000000000e+00,1.300000000000000000e+01,6.670261728290620695e-01
1.000000000000000000e+01,1.300000000000000000e+01,6.668662792153110530e-01
1.000000000000000000e+00,1.400000000000000000e+01,6.664697463550550705e-01
2.000000000000000000e+00,1.400000000000000000e+01,6.663120196443860221e-01
3.000000000000000000e+00,1.400000000000000000e+01,6.664004262050573502e-01
4.000000000000000000e+00,1.400000000000000000e+01,6.665021952648533254e-01
5.000000000000000000e+00,1.400000000000000000e+01,6.666111123890067214e-01
6.000000000000000000e+00,1.400000000000000000e+01,6.667221413104018612e-01
7.000000000000000000e+00,1.400000000000000000e+01,6.668310914276506240e-01
8.000000000000000000e+00,1.400000000000000000e+01,6.669329195149436007e-01
9.000000000000000000e+00,1.400000000000000000e+01,6.670214007442625270e-01
1.000000000000000000e+01,1.400000000000000000e+01,6.668636878941707202e-01
1.000000000000000000e+00,1.500000000000000000e+01,6.664730997869783291e-01
2.000000000000000000e+00,1.500000000000000000e+01,6.663180845314862211e-01
3.000000000000000000e+00,1.500000000000000000e+01,6.664054966081143228e-01
4.000000000000000000e+00,1.500000000000000000e+01,6.665054530423855095e-01
5.000000000000000000e+00,1.500000000000000000e+01,6.666122244948704534e-01
6.000000000000000000e+00,1.500000000000000000e+01,6.667210326937413889e-01
7.000000000000000000e+00,1.500000000000000000e+01,6.668278363313813184e-01
8.000000000000000000e+00,1.500000000000000000e+01,6.669278502659714558e-01
9.000000000000000000e+00,1.500000000000000000e+01,6.670153355264032413e-01
1.000000000000000000e+01,1.500000000000000000e+01,6.668603341518071215e-01
1.000000000000000000e+00,1.600000000000000000e+01,6.664770000644588688e-01
2.000000000000000000e+00,1.600000000000000000e+01,6.663251033169390602e-01
3.000000000000000000e+00,1.600000000000000000e+01,6.664111506008372210e-01
4.000000000000000000e+00,1.600000000000000000e+01,6.665088727699408633e-01
5.000000000000000000e+00,1.600000000000000000e+01,6.666133511753928875e-01
6.000000000000000000e+00,1.600000000000000000e+01,6.667199070068152711e-01
7.000000000000000000e+00,1.600000000000000000e+01,6.668244175028308351e-01
8.000000000000000000e+00,1.600000000000000000e+01,6.669221964566965921e-01
9.000000000000000000e+00,1.600000000000000000e+01,6.670083158660571332e-01
1.000000000000000000e+01,1.600000000000000000e+01,6.668564335409303823e-01
1.000000000000000000e+00,1.700000000000000000e+01,6.664815006196560532e-01
2.000000000000000000e+00,1.700000000000000000e+01,6.663330228538593136e-01
3.000000000000000000e+00,1.700000000000000000e+01,6.664169300798881146e-01
4.000000000000000000e+00,1.700000000000000000e+01,6.665119589458776694e-01
5.000000000000000000e+00,1.700000000000000000e+01,6.666143422671384489e-01
6.000000000000000000e+00,1.700000000000000000e+01,6.667189113521674315e-01
7.000000000000000000e+00,1.700000000000000000e+01,6.668213283281555492e-01
8.000000000000000000e+00,1.700000000000000000e+01,6.669164154775902853e-01
9.000000000000000000e+00,1.700000000000000000e+01,6.670003945605175177e-01
1.000000000000000000e+01,1.700000000000000000e+01,6.668519314279444110e-01
1.000000000000000000e+00,1.800000000000000000e+01,6.664854791213135066e-01
2.000000000000000000e+00,1.800000000000000000e+01,6.663415913719941130e-01
3.000000000000000000e+00,1.800000000000000000e+01,6.664222063383633543e-01
4.000000000000000000e+00,1.800000000000000000e+01,6.665140801477353882e-01
5.000000000000000000e+00,1.800000000000000000e+01,6.666148761882257912e-01
6.000000000000000000e+00,1.800000000000000000e+01,6.667183640856010340e-01
7.000000000000000000e+00,1.800000000000000000e+01,6.668191978934161490e-01
8.000000000000000000e+00,1.800000000000000000e+01,6.669111359852450960e-01
9.000000000000000000e+00,1.800000000000000000e+01,6.669918243907705380e-01
1.000000000000000000e+01,1.800000000000000000e+01,6.668479455078759610e-01
1.000000000000000000e+00,1.900000000000000000e+01,6.664984000034481770e-01
2.000000000000000000e+00,1.900000000000000000e+01,6.663563233698643895e-01
3.000000000000000000e+00,1.900000000000000000e+01,6.664214191117953101e-01
4.000000000000000000e+00,1.900000000000000000e+01,6.665131018225954884e-01
5.000000000000000000e+00,1.900000000000000000e+01,6.666140120616598219e-01
6.000000000000000000e+00,1.900000000000000000e+01,6.667192060591137226e-01
7.000000000000000000e+00,1.900000000000000000e+01,6.668201621659067824e-01
8.000000000000000000e+00,1.900000000000000000e+01,6.669119206097181562e-01
9.000000000000000000e+00,1.900000000000000000e+01,6.669770941226791372e-01
1.000000000000000000e+01,1.900000000000000000e+01,6.668350157237451503e-01
1.000000000000000000e+00,2.000000000000000000e+01,6.665274928193409831e-01
2.000000000000000000e+00,2.000000000000000000e+01,6.663971023015621276e-01
3.000000000000000000e+00,2.000000000000000000e+01,6.664437620670989881e-01
4.000000000000000000e+00,2.000000000000000000e+01,6.665301707977003831e-01
5.000000000000000000e+00,2.000000000000000000e+01,6.666191243753081253e-01
6.000000000000000000e+00,2.000000000000000000e+01,6.667140894072093316e-01
7.000000000000000000e+00,2.000000000000000000e+01,6.668030901761193840e-01
8.000000000000000000e+00,2.000000000000000000e+01,6.668895764592674968e-01
9.000000000000000000e+00,2.000000000000000000e+01,6.669363119300038001e-01
1.000000000000000000e+01,2.000000000000000000e+01,6.668059134476987948e-01


Then by using the LaTeX code :



documentclass[12pt]{standalone} 
usepackage[T1]{fontenc}
usepackage{tikz} %
usepackage{pgfplots} %
pgfplotsset{compat=newest} %


begin{document}
begin{tikzpicture}
begin{axis}[colormap/viridis,
enlarge y limits=false,
axis equal image,
axis on top,
colorbar,
y dir=reverse,
]

addplot[
matrix plot*, point meta=explicit, mesh/cols=10,
]
table[x expr=thisrow{y}, y expr=thisrow{x},
meta=T, ignore chars={#}, col sep=comma,
]
{hydrostat.csv};

end{axis}
end{tikzpicture}
end{document}


I finally obtain the wanted result:enter image description here






share|improve this answer

























    Your Answer








    StackExchange.ready(function() {
    var channelOptions = {
    tags: "".split(" "),
    id: "85"
    };
    initTagRenderer("".split(" "), "".split(" "), channelOptions);

    StackExchange.using("externalEditor", function() {
    // Have to fire editor after snippets, if snippets enabled
    if (StackExchange.settings.snippets.snippetsEnabled) {
    StackExchange.using("snippets", function() {
    createEditor();
    });
    }
    else {
    createEditor();
    }
    });

    function createEditor() {
    StackExchange.prepareEditor({
    heartbeatType: 'answer',
    autoActivateHeartbeat: false,
    convertImagesToLinks: false,
    noModals: true,
    showLowRepImageUploadWarning: true,
    reputationToPostImages: null,
    bindNavPrevention: true,
    postfix: "",
    imageUploader: {
    brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
    contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
    allowUrls: true
    },
    onDemand: true,
    discardSelector: ".discard-answer"
    ,immediatelyShowMarkdownHelp:true
    });


    }
    });














    draft saved

    draft discarded


















    StackExchange.ready(
    function () {
    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f479811%2fmistake-when-exporting-numpy-data-to-csv-to-pgfplots%23new-answer', 'question_page');
    }
    );

    Post as a guest















    Required, but never shown

























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    1














    Short version



    Thanks to the comments of marmot, we could determine that part of the problem comes from the original data in the csv file.



    The problem can be solved by using the numpy/python command to export the data T1 :



    np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)), np.reshape(T1.T, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


    Please note the presence of the data transposed with the T1.T.



    The last point is to use y dir=reverse to obtain the wanted output with pgfplots.



    Long version



    If I use the numpy/python code to export the data (without transpose):



    np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)),  np.reshape(T1, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


    I obtain the following file hydrostat.csv present in the question link or in the answer of Ulrich.



    Then by using the following LaTeX code:



    documentclass[12pt]{standalone} 
    usepackage[T1]{fontenc}
    usepackage{tikz} %
    usepackage{pgfplots} %
    pgfplotsset{compat=newest} %


    begin{document}
    begin{tikzpicture}
    begin{axis}[colormap/viridis,
    enlarge y limits=false,
    axis equal image,
    axis on top,
    colorbar,
    y dir=reverse,
    ]

    addplot[
    matrix plot*, point meta=explicit, mesh/cols=10,
    ]
    table[x expr=thisrow{x}, y expr=thisrow{y},
    meta=T, ignore chars={#}, col sep=comma,
    ]
    {hydrostat.csv};

    end{axis}
    end{tikzpicture}
    end{document}


    I will obtain the resulting picture:enter image description here



    I added a red circle to highlight the problem. Even if the apsect ration is the inverse of the one wanted (this can be solve by using the solution of Ulrich), in this area data are different from the matplotlib picture.



    Then if I use the numpy/python code (with the transpose):



    np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)),  np.reshape(T1.T, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


    I will obtain the file hydrostat.csv:



    # x, y, T
    1.000000000000000000e+00,1.000000000000000000e+00,6.665274928193408721e-01
    2.000000000000000000e+00,1.000000000000000000e+00,6.663971023015621276e-01
    3.000000000000000000e+00,1.000000000000000000e+00,6.664437620670988771e-01
    4.000000000000000000e+00,1.000000000000000000e+00,6.665301707977002721e-01
    5.000000000000000000e+00,1.000000000000000000e+00,6.666191243753081253e-01
    6.000000000000000000e+00,1.000000000000000000e+00,6.667140894072094426e-01
    7.000000000000000000e+00,1.000000000000000000e+00,6.668030901761194951e-01
    8.000000000000000000e+00,1.000000000000000000e+00,6.668895764592672748e-01
    9.000000000000000000e+00,1.000000000000000000e+00,6.669363119300035780e-01
    1.000000000000000000e+01,1.000000000000000000e+00,6.668059134476984617e-01
    1.000000000000000000e+00,2.000000000000000000e+00,6.664984000034479550e-01
    2.000000000000000000e+00,2.000000000000000000e+00,6.663563233698642785e-01
    3.000000000000000000e+00,2.000000000000000000e+00,6.664214191117951991e-01
    4.000000000000000000e+00,2.000000000000000000e+00,6.665131018225954884e-01
    5.000000000000000000e+00,2.000000000000000000e+00,6.666140120616599329e-01
    6.000000000000000000e+00,2.000000000000000000e+00,6.667192060591138336e-01
    7.000000000000000000e+00,2.000000000000000000e+00,6.668201621659066713e-01
    8.000000000000000000e+00,2.000000000000000000e+00,6.669119206097180452e-01
    9.000000000000000000e+00,2.000000000000000000e+00,6.669770941226786931e-01
    1.000000000000000000e+01,2.000000000000000000e+00,6.668350157237450393e-01
    1.000000000000000000e+00,3.000000000000000000e+00,6.664854791213135066e-01
    2.000000000000000000e+00,3.000000000000000000e+00,6.663415913719938910e-01
    3.000000000000000000e+00,3.000000000000000000e+00,6.664222063383633543e-01
    4.000000000000000000e+00,3.000000000000000000e+00,6.665140801477354993e-01
    5.000000000000000000e+00,3.000000000000000000e+00,6.666148761882257912e-01
    6.000000000000000000e+00,3.000000000000000000e+00,6.667183640856011451e-01
    7.000000000000000000e+00,3.000000000000000000e+00,6.668191978934161490e-01
    8.000000000000000000e+00,3.000000000000000000e+00,6.669111359852449850e-01
    9.000000000000000000e+00,3.000000000000000000e+00,6.669918243907704269e-01
    1.000000000000000000e+01,3.000000000000000000e+00,6.668479455078759610e-01
    1.000000000000000000e+00,4.000000000000000000e+00,6.664815006196560532e-01
    2.000000000000000000e+00,4.000000000000000000e+00,6.663330228538590916e-01
    3.000000000000000000e+00,4.000000000000000000e+00,6.664169300798881146e-01
    4.000000000000000000e+00,4.000000000000000000e+00,6.665119589458776694e-01
    5.000000000000000000e+00,4.000000000000000000e+00,6.666143422671383378e-01
    6.000000000000000000e+00,4.000000000000000000e+00,6.667189113521675425e-01
    7.000000000000000000e+00,4.000000000000000000e+00,6.668213283281555492e-01
    8.000000000000000000e+00,4.000000000000000000e+00,6.669164154775901743e-01
    9.000000000000000000e+00,4.000000000000000000e+00,6.670003945605174067e-01
    1.000000000000000000e+01,4.000000000000000000e+00,6.668519314279444110e-01
    1.000000000000000000e+00,5.000000000000000000e+00,6.664770000644588688e-01
    2.000000000000000000e+00,5.000000000000000000e+00,6.663251033169389492e-01
    3.000000000000000000e+00,5.000000000000000000e+00,6.664111506008371100e-01
    4.000000000000000000e+00,5.000000000000000000e+00,6.665088727699410853e-01
    5.000000000000000000e+00,5.000000000000000000e+00,6.666133511753929985e-01
    6.000000000000000000e+00,5.000000000000000000e+00,6.667199070068153821e-01
    7.000000000000000000e+00,5.000000000000000000e+00,6.668244175028308351e-01
    8.000000000000000000e+00,5.000000000000000000e+00,6.669221964566964811e-01
    9.000000000000000000e+00,5.000000000000000000e+00,6.670083158660570222e-01
    1.000000000000000000e+01,5.000000000000000000e+00,6.668564335409302712e-01
    1.000000000000000000e+00,6.000000000000000000e+00,6.664730997869784401e-01
    2.000000000000000000e+00,6.000000000000000000e+00,6.663180845314861100e-01
    3.000000000000000000e+00,6.000000000000000000e+00,6.664054966081143228e-01
    4.000000000000000000e+00,6.000000000000000000e+00,6.665054530423857315e-01
    5.000000000000000000e+00,6.000000000000000000e+00,6.666122244948706754e-01
    6.000000000000000000e+00,6.000000000000000000e+00,6.667210326937413889e-01
    7.000000000000000000e+00,6.000000000000000000e+00,6.668278363313814294e-01
    8.000000000000000000e+00,6.000000000000000000e+00,6.669278502659713448e-01
    9.000000000000000000e+00,6.000000000000000000e+00,6.670153355264032413e-01
    1.000000000000000000e+01,6.000000000000000000e+00,6.668603341518074545e-01
    1.000000000000000000e+00,7.000000000000000000e+00,6.664697463550552925e-01
    2.000000000000000000e+00,7.000000000000000000e+00,6.663120196443859111e-01
    3.000000000000000000e+00,7.000000000000000000e+00,6.664004262050575722e-01
    4.000000000000000000e+00,7.000000000000000000e+00,6.665021952648533254e-01
    5.000000000000000000e+00,7.000000000000000000e+00,6.666111123890067214e-01
    6.000000000000000000e+00,7.000000000000000000e+00,6.667221413104018612e-01
    7.000000000000000000e+00,7.000000000000000000e+00,6.668310914276506240e-01
    8.000000000000000000e+00,7.000000000000000000e+00,6.669329195149436007e-01
    9.000000000000000000e+00,7.000000000000000000e+00,6.670214007442626380e-01
    1.000000000000000000e+01,7.000000000000000000e+00,6.668636878941709423e-01
    1.000000000000000000e+00,8.000000000000000000e+00,6.664671553565268969e-01
    2.000000000000000000e+00,8.000000000000000000e+00,6.663072476998228577e-01
    3.000000000000000000e+00,8.000000000000000000e+00,6.663962705305201961e-01
    4.000000000000000000e+00,8.000000000000000000e+00,6.664994244361608366e-01
    5.000000000000000000e+00,8.000000000000000000e+00,6.666101447363657062e-01
    6.000000000000000000e+00,8.000000000000000000e+00,6.667231048960070572e-01
    7.000000000000000000e+00,8.000000000000000000e+00,6.668338591735474274e-01
    8.000000000000000000e+00,8.000000000000000000e+00,6.669370737822977180e-01
    9.000000000000000000e+00,8.000000000000000000e+00,6.670261728290619585e-01
    1.000000000000000000e+01,8.000000000000000000e+00,6.668662792153110530e-01
    1.000000000000000000e+00,9.000000000000000000e+00,6.664654603829183177e-01
    2.000000000000000000e+00,9.000000000000000000e+00,6.663040583623929258e-01
    3.000000000000000000e+00,9.000000000000000000e+00,6.663933804084154477e-01
    4.000000000000000000e+00,9.000000000000000000e+00,6.664974447369693689e-01
    5.000000000000000000e+00,9.000000000000000000e+00,6.666094420860504410e-01
    6.000000000000000000e+00,9.000000000000000000e+00,6.667238041750613853e-01
    7.000000000000000000e+00,9.000000000000000000e+00,6.668358363404600642e-01
    8.000000000000000000e+00,9.000000000000000000e+00,6.669399627501244598e-01
    9.000000000000000000e+00,9.000000000000000000e+00,6.670293622727493377e-01
    1.000000000000000000e+01,9.000000000000000000e+00,6.668679744632736162e-01
    1.000000000000000000e+00,1.000000000000000000e+01,6.664646443897686012e-01
    2.000000000000000000e+00,1.000000000000000000e+01,6.663024890447618587e-01
    3.000000000000000000e+00,1.000000000000000000e+01,6.663919082297593555e-01
    4.000000000000000000e+00,1.000000000000000000e+01,6.664964158667143757e-01
    5.000000000000000000e+00,1.000000000000000000e+01,6.666090728974014556e-01
    6.000000000000000000e+00,1.000000000000000000e+01,6.667241714870277836e-01
    7.000000000000000000e+00,1.000000000000000000e+01,6.668368638159816175e-01
    8.000000000000000000e+00,1.000000000000000000e+01,6.669414343107787913e-01
    9.000000000000000000e+00,1.000000000000000000e+01,6.670309316686268142e-01
    1.000000000000000000e+01,1.000000000000000000e+01,6.668687906109909136e-01
    1.000000000000000000e+00,1.100000000000000000e+01,6.664646443897686012e-01
    2.000000000000000000e+00,1.100000000000000000e+01,6.663024890447619697e-01
    3.000000000000000000e+00,1.100000000000000000e+01,6.663919082297594665e-01
    4.000000000000000000e+00,1.100000000000000000e+01,6.664964158667143757e-01
    5.000000000000000000e+00,1.100000000000000000e+01,6.666090728974012336e-01
    6.000000000000000000e+00,1.100000000000000000e+01,6.667241714870280056e-01
    7.000000000000000000e+00,1.100000000000000000e+01,6.668368638159817285e-01
    8.000000000000000000e+00,1.100000000000000000e+01,6.669414343107786802e-01
    9.000000000000000000e+00,1.100000000000000000e+01,6.670309316686269252e-01
    1.000000000000000000e+01,1.100000000000000000e+01,6.668687906109908026e-01
    1.000000000000000000e+00,1.200000000000000000e+01,6.664654603829183177e-01
    2.000000000000000000e+00,1.200000000000000000e+01,6.663040583623929258e-01
    3.000000000000000000e+00,1.200000000000000000e+01,6.663933804084154477e-01
    4.000000000000000000e+00,1.200000000000000000e+01,6.664974447369693689e-01
    5.000000000000000000e+00,1.200000000000000000e+01,6.666094420860504410e-01
    6.000000000000000000e+00,1.200000000000000000e+01,6.667238041750613853e-01
    7.000000000000000000e+00,1.200000000000000000e+01,6.668358363404600642e-01
    8.000000000000000000e+00,1.200000000000000000e+01,6.669399627501244598e-01
    9.000000000000000000e+00,1.200000000000000000e+01,6.670293622727493377e-01
    1.000000000000000000e+01,1.200000000000000000e+01,6.668679744632737272e-01
    1.000000000000000000e+00,1.300000000000000000e+01,6.664671553565266748e-01
    2.000000000000000000e+00,1.300000000000000000e+01,6.663072476998227467e-01
    3.000000000000000000e+00,1.300000000000000000e+01,6.663962705305200851e-01
    4.000000000000000000e+00,1.300000000000000000e+01,6.664994244361608366e-01
    5.000000000000000000e+00,1.300000000000000000e+01,6.666101447363657062e-01
    6.000000000000000000e+00,1.300000000000000000e+01,6.667231048960070572e-01
    7.000000000000000000e+00,1.300000000000000000e+01,6.668338591735474274e-01
    8.000000000000000000e+00,1.300000000000000000e+01,6.669370737822977180e-01
    9.000000000000000000e+00,1.300000000000000000e+01,6.670261728290620695e-01
    1.000000000000000000e+01,1.300000000000000000e+01,6.668662792153110530e-01
    1.000000000000000000e+00,1.400000000000000000e+01,6.664697463550550705e-01
    2.000000000000000000e+00,1.400000000000000000e+01,6.663120196443860221e-01
    3.000000000000000000e+00,1.400000000000000000e+01,6.664004262050573502e-01
    4.000000000000000000e+00,1.400000000000000000e+01,6.665021952648533254e-01
    5.000000000000000000e+00,1.400000000000000000e+01,6.666111123890067214e-01
    6.000000000000000000e+00,1.400000000000000000e+01,6.667221413104018612e-01
    7.000000000000000000e+00,1.400000000000000000e+01,6.668310914276506240e-01
    8.000000000000000000e+00,1.400000000000000000e+01,6.669329195149436007e-01
    9.000000000000000000e+00,1.400000000000000000e+01,6.670214007442625270e-01
    1.000000000000000000e+01,1.400000000000000000e+01,6.668636878941707202e-01
    1.000000000000000000e+00,1.500000000000000000e+01,6.664730997869783291e-01
    2.000000000000000000e+00,1.500000000000000000e+01,6.663180845314862211e-01
    3.000000000000000000e+00,1.500000000000000000e+01,6.664054966081143228e-01
    4.000000000000000000e+00,1.500000000000000000e+01,6.665054530423855095e-01
    5.000000000000000000e+00,1.500000000000000000e+01,6.666122244948704534e-01
    6.000000000000000000e+00,1.500000000000000000e+01,6.667210326937413889e-01
    7.000000000000000000e+00,1.500000000000000000e+01,6.668278363313813184e-01
    8.000000000000000000e+00,1.500000000000000000e+01,6.669278502659714558e-01
    9.000000000000000000e+00,1.500000000000000000e+01,6.670153355264032413e-01
    1.000000000000000000e+01,1.500000000000000000e+01,6.668603341518071215e-01
    1.000000000000000000e+00,1.600000000000000000e+01,6.664770000644588688e-01
    2.000000000000000000e+00,1.600000000000000000e+01,6.663251033169390602e-01
    3.000000000000000000e+00,1.600000000000000000e+01,6.664111506008372210e-01
    4.000000000000000000e+00,1.600000000000000000e+01,6.665088727699408633e-01
    5.000000000000000000e+00,1.600000000000000000e+01,6.666133511753928875e-01
    6.000000000000000000e+00,1.600000000000000000e+01,6.667199070068152711e-01
    7.000000000000000000e+00,1.600000000000000000e+01,6.668244175028308351e-01
    8.000000000000000000e+00,1.600000000000000000e+01,6.669221964566965921e-01
    9.000000000000000000e+00,1.600000000000000000e+01,6.670083158660571332e-01
    1.000000000000000000e+01,1.600000000000000000e+01,6.668564335409303823e-01
    1.000000000000000000e+00,1.700000000000000000e+01,6.664815006196560532e-01
    2.000000000000000000e+00,1.700000000000000000e+01,6.663330228538593136e-01
    3.000000000000000000e+00,1.700000000000000000e+01,6.664169300798881146e-01
    4.000000000000000000e+00,1.700000000000000000e+01,6.665119589458776694e-01
    5.000000000000000000e+00,1.700000000000000000e+01,6.666143422671384489e-01
    6.000000000000000000e+00,1.700000000000000000e+01,6.667189113521674315e-01
    7.000000000000000000e+00,1.700000000000000000e+01,6.668213283281555492e-01
    8.000000000000000000e+00,1.700000000000000000e+01,6.669164154775902853e-01
    9.000000000000000000e+00,1.700000000000000000e+01,6.670003945605175177e-01
    1.000000000000000000e+01,1.700000000000000000e+01,6.668519314279444110e-01
    1.000000000000000000e+00,1.800000000000000000e+01,6.664854791213135066e-01
    2.000000000000000000e+00,1.800000000000000000e+01,6.663415913719941130e-01
    3.000000000000000000e+00,1.800000000000000000e+01,6.664222063383633543e-01
    4.000000000000000000e+00,1.800000000000000000e+01,6.665140801477353882e-01
    5.000000000000000000e+00,1.800000000000000000e+01,6.666148761882257912e-01
    6.000000000000000000e+00,1.800000000000000000e+01,6.667183640856010340e-01
    7.000000000000000000e+00,1.800000000000000000e+01,6.668191978934161490e-01
    8.000000000000000000e+00,1.800000000000000000e+01,6.669111359852450960e-01
    9.000000000000000000e+00,1.800000000000000000e+01,6.669918243907705380e-01
    1.000000000000000000e+01,1.800000000000000000e+01,6.668479455078759610e-01
    1.000000000000000000e+00,1.900000000000000000e+01,6.664984000034481770e-01
    2.000000000000000000e+00,1.900000000000000000e+01,6.663563233698643895e-01
    3.000000000000000000e+00,1.900000000000000000e+01,6.664214191117953101e-01
    4.000000000000000000e+00,1.900000000000000000e+01,6.665131018225954884e-01
    5.000000000000000000e+00,1.900000000000000000e+01,6.666140120616598219e-01
    6.000000000000000000e+00,1.900000000000000000e+01,6.667192060591137226e-01
    7.000000000000000000e+00,1.900000000000000000e+01,6.668201621659067824e-01
    8.000000000000000000e+00,1.900000000000000000e+01,6.669119206097181562e-01
    9.000000000000000000e+00,1.900000000000000000e+01,6.669770941226791372e-01
    1.000000000000000000e+01,1.900000000000000000e+01,6.668350157237451503e-01
    1.000000000000000000e+00,2.000000000000000000e+01,6.665274928193409831e-01
    2.000000000000000000e+00,2.000000000000000000e+01,6.663971023015621276e-01
    3.000000000000000000e+00,2.000000000000000000e+01,6.664437620670989881e-01
    4.000000000000000000e+00,2.000000000000000000e+01,6.665301707977003831e-01
    5.000000000000000000e+00,2.000000000000000000e+01,6.666191243753081253e-01
    6.000000000000000000e+00,2.000000000000000000e+01,6.667140894072093316e-01
    7.000000000000000000e+00,2.000000000000000000e+01,6.668030901761193840e-01
    8.000000000000000000e+00,2.000000000000000000e+01,6.668895764592674968e-01
    9.000000000000000000e+00,2.000000000000000000e+01,6.669363119300038001e-01
    1.000000000000000000e+01,2.000000000000000000e+01,6.668059134476987948e-01


    Then by using the LaTeX code :



    documentclass[12pt]{standalone} 
    usepackage[T1]{fontenc}
    usepackage{tikz} %
    usepackage{pgfplots} %
    pgfplotsset{compat=newest} %


    begin{document}
    begin{tikzpicture}
    begin{axis}[colormap/viridis,
    enlarge y limits=false,
    axis equal image,
    axis on top,
    colorbar,
    y dir=reverse,
    ]

    addplot[
    matrix plot*, point meta=explicit, mesh/cols=10,
    ]
    table[x expr=thisrow{y}, y expr=thisrow{x},
    meta=T, ignore chars={#}, col sep=comma,
    ]
    {hydrostat.csv};

    end{axis}
    end{tikzpicture}
    end{document}


    I finally obtain the wanted result:enter image description here






    share|improve this answer






























      1














      Short version



      Thanks to the comments of marmot, we could determine that part of the problem comes from the original data in the csv file.



      The problem can be solved by using the numpy/python command to export the data T1 :



      np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)), np.reshape(T1.T, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


      Please note the presence of the data transposed with the T1.T.



      The last point is to use y dir=reverse to obtain the wanted output with pgfplots.



      Long version



      If I use the numpy/python code to export the data (without transpose):



      np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)),  np.reshape(T1, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


      I obtain the following file hydrostat.csv present in the question link or in the answer of Ulrich.



      Then by using the following LaTeX code:



      documentclass[12pt]{standalone} 
      usepackage[T1]{fontenc}
      usepackage{tikz} %
      usepackage{pgfplots} %
      pgfplotsset{compat=newest} %


      begin{document}
      begin{tikzpicture}
      begin{axis}[colormap/viridis,
      enlarge y limits=false,
      axis equal image,
      axis on top,
      colorbar,
      y dir=reverse,
      ]

      addplot[
      matrix plot*, point meta=explicit, mesh/cols=10,
      ]
      table[x expr=thisrow{x}, y expr=thisrow{y},
      meta=T, ignore chars={#}, col sep=comma,
      ]
      {hydrostat.csv};

      end{axis}
      end{tikzpicture}
      end{document}


      I will obtain the resulting picture:enter image description here



      I added a red circle to highlight the problem. Even if the apsect ration is the inverse of the one wanted (this can be solve by using the solution of Ulrich), in this area data are different from the matplotlib picture.



      Then if I use the numpy/python code (with the transpose):



      np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)),  np.reshape(T1.T, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


      I will obtain the file hydrostat.csv:



      # x, y, T
      1.000000000000000000e+00,1.000000000000000000e+00,6.665274928193408721e-01
      2.000000000000000000e+00,1.000000000000000000e+00,6.663971023015621276e-01
      3.000000000000000000e+00,1.000000000000000000e+00,6.664437620670988771e-01
      4.000000000000000000e+00,1.000000000000000000e+00,6.665301707977002721e-01
      5.000000000000000000e+00,1.000000000000000000e+00,6.666191243753081253e-01
      6.000000000000000000e+00,1.000000000000000000e+00,6.667140894072094426e-01
      7.000000000000000000e+00,1.000000000000000000e+00,6.668030901761194951e-01
      8.000000000000000000e+00,1.000000000000000000e+00,6.668895764592672748e-01
      9.000000000000000000e+00,1.000000000000000000e+00,6.669363119300035780e-01
      1.000000000000000000e+01,1.000000000000000000e+00,6.668059134476984617e-01
      1.000000000000000000e+00,2.000000000000000000e+00,6.664984000034479550e-01
      2.000000000000000000e+00,2.000000000000000000e+00,6.663563233698642785e-01
      3.000000000000000000e+00,2.000000000000000000e+00,6.664214191117951991e-01
      4.000000000000000000e+00,2.000000000000000000e+00,6.665131018225954884e-01
      5.000000000000000000e+00,2.000000000000000000e+00,6.666140120616599329e-01
      6.000000000000000000e+00,2.000000000000000000e+00,6.667192060591138336e-01
      7.000000000000000000e+00,2.000000000000000000e+00,6.668201621659066713e-01
      8.000000000000000000e+00,2.000000000000000000e+00,6.669119206097180452e-01
      9.000000000000000000e+00,2.000000000000000000e+00,6.669770941226786931e-01
      1.000000000000000000e+01,2.000000000000000000e+00,6.668350157237450393e-01
      1.000000000000000000e+00,3.000000000000000000e+00,6.664854791213135066e-01
      2.000000000000000000e+00,3.000000000000000000e+00,6.663415913719938910e-01
      3.000000000000000000e+00,3.000000000000000000e+00,6.664222063383633543e-01
      4.000000000000000000e+00,3.000000000000000000e+00,6.665140801477354993e-01
      5.000000000000000000e+00,3.000000000000000000e+00,6.666148761882257912e-01
      6.000000000000000000e+00,3.000000000000000000e+00,6.667183640856011451e-01
      7.000000000000000000e+00,3.000000000000000000e+00,6.668191978934161490e-01
      8.000000000000000000e+00,3.000000000000000000e+00,6.669111359852449850e-01
      9.000000000000000000e+00,3.000000000000000000e+00,6.669918243907704269e-01
      1.000000000000000000e+01,3.000000000000000000e+00,6.668479455078759610e-01
      1.000000000000000000e+00,4.000000000000000000e+00,6.664815006196560532e-01
      2.000000000000000000e+00,4.000000000000000000e+00,6.663330228538590916e-01
      3.000000000000000000e+00,4.000000000000000000e+00,6.664169300798881146e-01
      4.000000000000000000e+00,4.000000000000000000e+00,6.665119589458776694e-01
      5.000000000000000000e+00,4.000000000000000000e+00,6.666143422671383378e-01
      6.000000000000000000e+00,4.000000000000000000e+00,6.667189113521675425e-01
      7.000000000000000000e+00,4.000000000000000000e+00,6.668213283281555492e-01
      8.000000000000000000e+00,4.000000000000000000e+00,6.669164154775901743e-01
      9.000000000000000000e+00,4.000000000000000000e+00,6.670003945605174067e-01
      1.000000000000000000e+01,4.000000000000000000e+00,6.668519314279444110e-01
      1.000000000000000000e+00,5.000000000000000000e+00,6.664770000644588688e-01
      2.000000000000000000e+00,5.000000000000000000e+00,6.663251033169389492e-01
      3.000000000000000000e+00,5.000000000000000000e+00,6.664111506008371100e-01
      4.000000000000000000e+00,5.000000000000000000e+00,6.665088727699410853e-01
      5.000000000000000000e+00,5.000000000000000000e+00,6.666133511753929985e-01
      6.000000000000000000e+00,5.000000000000000000e+00,6.667199070068153821e-01
      7.000000000000000000e+00,5.000000000000000000e+00,6.668244175028308351e-01
      8.000000000000000000e+00,5.000000000000000000e+00,6.669221964566964811e-01
      9.000000000000000000e+00,5.000000000000000000e+00,6.670083158660570222e-01
      1.000000000000000000e+01,5.000000000000000000e+00,6.668564335409302712e-01
      1.000000000000000000e+00,6.000000000000000000e+00,6.664730997869784401e-01
      2.000000000000000000e+00,6.000000000000000000e+00,6.663180845314861100e-01
      3.000000000000000000e+00,6.000000000000000000e+00,6.664054966081143228e-01
      4.000000000000000000e+00,6.000000000000000000e+00,6.665054530423857315e-01
      5.000000000000000000e+00,6.000000000000000000e+00,6.666122244948706754e-01
      6.000000000000000000e+00,6.000000000000000000e+00,6.667210326937413889e-01
      7.000000000000000000e+00,6.000000000000000000e+00,6.668278363313814294e-01
      8.000000000000000000e+00,6.000000000000000000e+00,6.669278502659713448e-01
      9.000000000000000000e+00,6.000000000000000000e+00,6.670153355264032413e-01
      1.000000000000000000e+01,6.000000000000000000e+00,6.668603341518074545e-01
      1.000000000000000000e+00,7.000000000000000000e+00,6.664697463550552925e-01
      2.000000000000000000e+00,7.000000000000000000e+00,6.663120196443859111e-01
      3.000000000000000000e+00,7.000000000000000000e+00,6.664004262050575722e-01
      4.000000000000000000e+00,7.000000000000000000e+00,6.665021952648533254e-01
      5.000000000000000000e+00,7.000000000000000000e+00,6.666111123890067214e-01
      6.000000000000000000e+00,7.000000000000000000e+00,6.667221413104018612e-01
      7.000000000000000000e+00,7.000000000000000000e+00,6.668310914276506240e-01
      8.000000000000000000e+00,7.000000000000000000e+00,6.669329195149436007e-01
      9.000000000000000000e+00,7.000000000000000000e+00,6.670214007442626380e-01
      1.000000000000000000e+01,7.000000000000000000e+00,6.668636878941709423e-01
      1.000000000000000000e+00,8.000000000000000000e+00,6.664671553565268969e-01
      2.000000000000000000e+00,8.000000000000000000e+00,6.663072476998228577e-01
      3.000000000000000000e+00,8.000000000000000000e+00,6.663962705305201961e-01
      4.000000000000000000e+00,8.000000000000000000e+00,6.664994244361608366e-01
      5.000000000000000000e+00,8.000000000000000000e+00,6.666101447363657062e-01
      6.000000000000000000e+00,8.000000000000000000e+00,6.667231048960070572e-01
      7.000000000000000000e+00,8.000000000000000000e+00,6.668338591735474274e-01
      8.000000000000000000e+00,8.000000000000000000e+00,6.669370737822977180e-01
      9.000000000000000000e+00,8.000000000000000000e+00,6.670261728290619585e-01
      1.000000000000000000e+01,8.000000000000000000e+00,6.668662792153110530e-01
      1.000000000000000000e+00,9.000000000000000000e+00,6.664654603829183177e-01
      2.000000000000000000e+00,9.000000000000000000e+00,6.663040583623929258e-01
      3.000000000000000000e+00,9.000000000000000000e+00,6.663933804084154477e-01
      4.000000000000000000e+00,9.000000000000000000e+00,6.664974447369693689e-01
      5.000000000000000000e+00,9.000000000000000000e+00,6.666094420860504410e-01
      6.000000000000000000e+00,9.000000000000000000e+00,6.667238041750613853e-01
      7.000000000000000000e+00,9.000000000000000000e+00,6.668358363404600642e-01
      8.000000000000000000e+00,9.000000000000000000e+00,6.669399627501244598e-01
      9.000000000000000000e+00,9.000000000000000000e+00,6.670293622727493377e-01
      1.000000000000000000e+01,9.000000000000000000e+00,6.668679744632736162e-01
      1.000000000000000000e+00,1.000000000000000000e+01,6.664646443897686012e-01
      2.000000000000000000e+00,1.000000000000000000e+01,6.663024890447618587e-01
      3.000000000000000000e+00,1.000000000000000000e+01,6.663919082297593555e-01
      4.000000000000000000e+00,1.000000000000000000e+01,6.664964158667143757e-01
      5.000000000000000000e+00,1.000000000000000000e+01,6.666090728974014556e-01
      6.000000000000000000e+00,1.000000000000000000e+01,6.667241714870277836e-01
      7.000000000000000000e+00,1.000000000000000000e+01,6.668368638159816175e-01
      8.000000000000000000e+00,1.000000000000000000e+01,6.669414343107787913e-01
      9.000000000000000000e+00,1.000000000000000000e+01,6.670309316686268142e-01
      1.000000000000000000e+01,1.000000000000000000e+01,6.668687906109909136e-01
      1.000000000000000000e+00,1.100000000000000000e+01,6.664646443897686012e-01
      2.000000000000000000e+00,1.100000000000000000e+01,6.663024890447619697e-01
      3.000000000000000000e+00,1.100000000000000000e+01,6.663919082297594665e-01
      4.000000000000000000e+00,1.100000000000000000e+01,6.664964158667143757e-01
      5.000000000000000000e+00,1.100000000000000000e+01,6.666090728974012336e-01
      6.000000000000000000e+00,1.100000000000000000e+01,6.667241714870280056e-01
      7.000000000000000000e+00,1.100000000000000000e+01,6.668368638159817285e-01
      8.000000000000000000e+00,1.100000000000000000e+01,6.669414343107786802e-01
      9.000000000000000000e+00,1.100000000000000000e+01,6.670309316686269252e-01
      1.000000000000000000e+01,1.100000000000000000e+01,6.668687906109908026e-01
      1.000000000000000000e+00,1.200000000000000000e+01,6.664654603829183177e-01
      2.000000000000000000e+00,1.200000000000000000e+01,6.663040583623929258e-01
      3.000000000000000000e+00,1.200000000000000000e+01,6.663933804084154477e-01
      4.000000000000000000e+00,1.200000000000000000e+01,6.664974447369693689e-01
      5.000000000000000000e+00,1.200000000000000000e+01,6.666094420860504410e-01
      6.000000000000000000e+00,1.200000000000000000e+01,6.667238041750613853e-01
      7.000000000000000000e+00,1.200000000000000000e+01,6.668358363404600642e-01
      8.000000000000000000e+00,1.200000000000000000e+01,6.669399627501244598e-01
      9.000000000000000000e+00,1.200000000000000000e+01,6.670293622727493377e-01
      1.000000000000000000e+01,1.200000000000000000e+01,6.668679744632737272e-01
      1.000000000000000000e+00,1.300000000000000000e+01,6.664671553565266748e-01
      2.000000000000000000e+00,1.300000000000000000e+01,6.663072476998227467e-01
      3.000000000000000000e+00,1.300000000000000000e+01,6.663962705305200851e-01
      4.000000000000000000e+00,1.300000000000000000e+01,6.664994244361608366e-01
      5.000000000000000000e+00,1.300000000000000000e+01,6.666101447363657062e-01
      6.000000000000000000e+00,1.300000000000000000e+01,6.667231048960070572e-01
      7.000000000000000000e+00,1.300000000000000000e+01,6.668338591735474274e-01
      8.000000000000000000e+00,1.300000000000000000e+01,6.669370737822977180e-01
      9.000000000000000000e+00,1.300000000000000000e+01,6.670261728290620695e-01
      1.000000000000000000e+01,1.300000000000000000e+01,6.668662792153110530e-01
      1.000000000000000000e+00,1.400000000000000000e+01,6.664697463550550705e-01
      2.000000000000000000e+00,1.400000000000000000e+01,6.663120196443860221e-01
      3.000000000000000000e+00,1.400000000000000000e+01,6.664004262050573502e-01
      4.000000000000000000e+00,1.400000000000000000e+01,6.665021952648533254e-01
      5.000000000000000000e+00,1.400000000000000000e+01,6.666111123890067214e-01
      6.000000000000000000e+00,1.400000000000000000e+01,6.667221413104018612e-01
      7.000000000000000000e+00,1.400000000000000000e+01,6.668310914276506240e-01
      8.000000000000000000e+00,1.400000000000000000e+01,6.669329195149436007e-01
      9.000000000000000000e+00,1.400000000000000000e+01,6.670214007442625270e-01
      1.000000000000000000e+01,1.400000000000000000e+01,6.668636878941707202e-01
      1.000000000000000000e+00,1.500000000000000000e+01,6.664730997869783291e-01
      2.000000000000000000e+00,1.500000000000000000e+01,6.663180845314862211e-01
      3.000000000000000000e+00,1.500000000000000000e+01,6.664054966081143228e-01
      4.000000000000000000e+00,1.500000000000000000e+01,6.665054530423855095e-01
      5.000000000000000000e+00,1.500000000000000000e+01,6.666122244948704534e-01
      6.000000000000000000e+00,1.500000000000000000e+01,6.667210326937413889e-01
      7.000000000000000000e+00,1.500000000000000000e+01,6.668278363313813184e-01
      8.000000000000000000e+00,1.500000000000000000e+01,6.669278502659714558e-01
      9.000000000000000000e+00,1.500000000000000000e+01,6.670153355264032413e-01
      1.000000000000000000e+01,1.500000000000000000e+01,6.668603341518071215e-01
      1.000000000000000000e+00,1.600000000000000000e+01,6.664770000644588688e-01
      2.000000000000000000e+00,1.600000000000000000e+01,6.663251033169390602e-01
      3.000000000000000000e+00,1.600000000000000000e+01,6.664111506008372210e-01
      4.000000000000000000e+00,1.600000000000000000e+01,6.665088727699408633e-01
      5.000000000000000000e+00,1.600000000000000000e+01,6.666133511753928875e-01
      6.000000000000000000e+00,1.600000000000000000e+01,6.667199070068152711e-01
      7.000000000000000000e+00,1.600000000000000000e+01,6.668244175028308351e-01
      8.000000000000000000e+00,1.600000000000000000e+01,6.669221964566965921e-01
      9.000000000000000000e+00,1.600000000000000000e+01,6.670083158660571332e-01
      1.000000000000000000e+01,1.600000000000000000e+01,6.668564335409303823e-01
      1.000000000000000000e+00,1.700000000000000000e+01,6.664815006196560532e-01
      2.000000000000000000e+00,1.700000000000000000e+01,6.663330228538593136e-01
      3.000000000000000000e+00,1.700000000000000000e+01,6.664169300798881146e-01
      4.000000000000000000e+00,1.700000000000000000e+01,6.665119589458776694e-01
      5.000000000000000000e+00,1.700000000000000000e+01,6.666143422671384489e-01
      6.000000000000000000e+00,1.700000000000000000e+01,6.667189113521674315e-01
      7.000000000000000000e+00,1.700000000000000000e+01,6.668213283281555492e-01
      8.000000000000000000e+00,1.700000000000000000e+01,6.669164154775902853e-01
      9.000000000000000000e+00,1.700000000000000000e+01,6.670003945605175177e-01
      1.000000000000000000e+01,1.700000000000000000e+01,6.668519314279444110e-01
      1.000000000000000000e+00,1.800000000000000000e+01,6.664854791213135066e-01
      2.000000000000000000e+00,1.800000000000000000e+01,6.663415913719941130e-01
      3.000000000000000000e+00,1.800000000000000000e+01,6.664222063383633543e-01
      4.000000000000000000e+00,1.800000000000000000e+01,6.665140801477353882e-01
      5.000000000000000000e+00,1.800000000000000000e+01,6.666148761882257912e-01
      6.000000000000000000e+00,1.800000000000000000e+01,6.667183640856010340e-01
      7.000000000000000000e+00,1.800000000000000000e+01,6.668191978934161490e-01
      8.000000000000000000e+00,1.800000000000000000e+01,6.669111359852450960e-01
      9.000000000000000000e+00,1.800000000000000000e+01,6.669918243907705380e-01
      1.000000000000000000e+01,1.800000000000000000e+01,6.668479455078759610e-01
      1.000000000000000000e+00,1.900000000000000000e+01,6.664984000034481770e-01
      2.000000000000000000e+00,1.900000000000000000e+01,6.663563233698643895e-01
      3.000000000000000000e+00,1.900000000000000000e+01,6.664214191117953101e-01
      4.000000000000000000e+00,1.900000000000000000e+01,6.665131018225954884e-01
      5.000000000000000000e+00,1.900000000000000000e+01,6.666140120616598219e-01
      6.000000000000000000e+00,1.900000000000000000e+01,6.667192060591137226e-01
      7.000000000000000000e+00,1.900000000000000000e+01,6.668201621659067824e-01
      8.000000000000000000e+00,1.900000000000000000e+01,6.669119206097181562e-01
      9.000000000000000000e+00,1.900000000000000000e+01,6.669770941226791372e-01
      1.000000000000000000e+01,1.900000000000000000e+01,6.668350157237451503e-01
      1.000000000000000000e+00,2.000000000000000000e+01,6.665274928193409831e-01
      2.000000000000000000e+00,2.000000000000000000e+01,6.663971023015621276e-01
      3.000000000000000000e+00,2.000000000000000000e+01,6.664437620670989881e-01
      4.000000000000000000e+00,2.000000000000000000e+01,6.665301707977003831e-01
      5.000000000000000000e+00,2.000000000000000000e+01,6.666191243753081253e-01
      6.000000000000000000e+00,2.000000000000000000e+01,6.667140894072093316e-01
      7.000000000000000000e+00,2.000000000000000000e+01,6.668030901761193840e-01
      8.000000000000000000e+00,2.000000000000000000e+01,6.668895764592674968e-01
      9.000000000000000000e+00,2.000000000000000000e+01,6.669363119300038001e-01
      1.000000000000000000e+01,2.000000000000000000e+01,6.668059134476987948e-01


      Then by using the LaTeX code :



      documentclass[12pt]{standalone} 
      usepackage[T1]{fontenc}
      usepackage{tikz} %
      usepackage{pgfplots} %
      pgfplotsset{compat=newest} %


      begin{document}
      begin{tikzpicture}
      begin{axis}[colormap/viridis,
      enlarge y limits=false,
      axis equal image,
      axis on top,
      colorbar,
      y dir=reverse,
      ]

      addplot[
      matrix plot*, point meta=explicit, mesh/cols=10,
      ]
      table[x expr=thisrow{y}, y expr=thisrow{x},
      meta=T, ignore chars={#}, col sep=comma,
      ]
      {hydrostat.csv};

      end{axis}
      end{tikzpicture}
      end{document}


      I finally obtain the wanted result:enter image description here






      share|improve this answer




























        1












        1








        1







        Short version



        Thanks to the comments of marmot, we could determine that part of the problem comes from the original data in the csv file.



        The problem can be solved by using the numpy/python command to export the data T1 :



        np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)), np.reshape(T1.T, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


        Please note the presence of the data transposed with the T1.T.



        The last point is to use y dir=reverse to obtain the wanted output with pgfplots.



        Long version



        If I use the numpy/python code to export the data (without transpose):



        np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)),  np.reshape(T1, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


        I obtain the following file hydrostat.csv present in the question link or in the answer of Ulrich.



        Then by using the following LaTeX code:



        documentclass[12pt]{standalone} 
        usepackage[T1]{fontenc}
        usepackage{tikz} %
        usepackage{pgfplots} %
        pgfplotsset{compat=newest} %


        begin{document}
        begin{tikzpicture}
        begin{axis}[colormap/viridis,
        enlarge y limits=false,
        axis equal image,
        axis on top,
        colorbar,
        y dir=reverse,
        ]

        addplot[
        matrix plot*, point meta=explicit, mesh/cols=10,
        ]
        table[x expr=thisrow{x}, y expr=thisrow{y},
        meta=T, ignore chars={#}, col sep=comma,
        ]
        {hydrostat.csv};

        end{axis}
        end{tikzpicture}
        end{document}


        I will obtain the resulting picture:enter image description here



        I added a red circle to highlight the problem. Even if the apsect ration is the inverse of the one wanted (this can be solve by using the solution of Ulrich), in this area data are different from the matplotlib picture.



        Then if I use the numpy/python code (with the transpose):



        np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)),  np.reshape(T1.T, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


        I will obtain the file hydrostat.csv:



        # x, y, T
        1.000000000000000000e+00,1.000000000000000000e+00,6.665274928193408721e-01
        2.000000000000000000e+00,1.000000000000000000e+00,6.663971023015621276e-01
        3.000000000000000000e+00,1.000000000000000000e+00,6.664437620670988771e-01
        4.000000000000000000e+00,1.000000000000000000e+00,6.665301707977002721e-01
        5.000000000000000000e+00,1.000000000000000000e+00,6.666191243753081253e-01
        6.000000000000000000e+00,1.000000000000000000e+00,6.667140894072094426e-01
        7.000000000000000000e+00,1.000000000000000000e+00,6.668030901761194951e-01
        8.000000000000000000e+00,1.000000000000000000e+00,6.668895764592672748e-01
        9.000000000000000000e+00,1.000000000000000000e+00,6.669363119300035780e-01
        1.000000000000000000e+01,1.000000000000000000e+00,6.668059134476984617e-01
        1.000000000000000000e+00,2.000000000000000000e+00,6.664984000034479550e-01
        2.000000000000000000e+00,2.000000000000000000e+00,6.663563233698642785e-01
        3.000000000000000000e+00,2.000000000000000000e+00,6.664214191117951991e-01
        4.000000000000000000e+00,2.000000000000000000e+00,6.665131018225954884e-01
        5.000000000000000000e+00,2.000000000000000000e+00,6.666140120616599329e-01
        6.000000000000000000e+00,2.000000000000000000e+00,6.667192060591138336e-01
        7.000000000000000000e+00,2.000000000000000000e+00,6.668201621659066713e-01
        8.000000000000000000e+00,2.000000000000000000e+00,6.669119206097180452e-01
        9.000000000000000000e+00,2.000000000000000000e+00,6.669770941226786931e-01
        1.000000000000000000e+01,2.000000000000000000e+00,6.668350157237450393e-01
        1.000000000000000000e+00,3.000000000000000000e+00,6.664854791213135066e-01
        2.000000000000000000e+00,3.000000000000000000e+00,6.663415913719938910e-01
        3.000000000000000000e+00,3.000000000000000000e+00,6.664222063383633543e-01
        4.000000000000000000e+00,3.000000000000000000e+00,6.665140801477354993e-01
        5.000000000000000000e+00,3.000000000000000000e+00,6.666148761882257912e-01
        6.000000000000000000e+00,3.000000000000000000e+00,6.667183640856011451e-01
        7.000000000000000000e+00,3.000000000000000000e+00,6.668191978934161490e-01
        8.000000000000000000e+00,3.000000000000000000e+00,6.669111359852449850e-01
        9.000000000000000000e+00,3.000000000000000000e+00,6.669918243907704269e-01
        1.000000000000000000e+01,3.000000000000000000e+00,6.668479455078759610e-01
        1.000000000000000000e+00,4.000000000000000000e+00,6.664815006196560532e-01
        2.000000000000000000e+00,4.000000000000000000e+00,6.663330228538590916e-01
        3.000000000000000000e+00,4.000000000000000000e+00,6.664169300798881146e-01
        4.000000000000000000e+00,4.000000000000000000e+00,6.665119589458776694e-01
        5.000000000000000000e+00,4.000000000000000000e+00,6.666143422671383378e-01
        6.000000000000000000e+00,4.000000000000000000e+00,6.667189113521675425e-01
        7.000000000000000000e+00,4.000000000000000000e+00,6.668213283281555492e-01
        8.000000000000000000e+00,4.000000000000000000e+00,6.669164154775901743e-01
        9.000000000000000000e+00,4.000000000000000000e+00,6.670003945605174067e-01
        1.000000000000000000e+01,4.000000000000000000e+00,6.668519314279444110e-01
        1.000000000000000000e+00,5.000000000000000000e+00,6.664770000644588688e-01
        2.000000000000000000e+00,5.000000000000000000e+00,6.663251033169389492e-01
        3.000000000000000000e+00,5.000000000000000000e+00,6.664111506008371100e-01
        4.000000000000000000e+00,5.000000000000000000e+00,6.665088727699410853e-01
        5.000000000000000000e+00,5.000000000000000000e+00,6.666133511753929985e-01
        6.000000000000000000e+00,5.000000000000000000e+00,6.667199070068153821e-01
        7.000000000000000000e+00,5.000000000000000000e+00,6.668244175028308351e-01
        8.000000000000000000e+00,5.000000000000000000e+00,6.669221964566964811e-01
        9.000000000000000000e+00,5.000000000000000000e+00,6.670083158660570222e-01
        1.000000000000000000e+01,5.000000000000000000e+00,6.668564335409302712e-01
        1.000000000000000000e+00,6.000000000000000000e+00,6.664730997869784401e-01
        2.000000000000000000e+00,6.000000000000000000e+00,6.663180845314861100e-01
        3.000000000000000000e+00,6.000000000000000000e+00,6.664054966081143228e-01
        4.000000000000000000e+00,6.000000000000000000e+00,6.665054530423857315e-01
        5.000000000000000000e+00,6.000000000000000000e+00,6.666122244948706754e-01
        6.000000000000000000e+00,6.000000000000000000e+00,6.667210326937413889e-01
        7.000000000000000000e+00,6.000000000000000000e+00,6.668278363313814294e-01
        8.000000000000000000e+00,6.000000000000000000e+00,6.669278502659713448e-01
        9.000000000000000000e+00,6.000000000000000000e+00,6.670153355264032413e-01
        1.000000000000000000e+01,6.000000000000000000e+00,6.668603341518074545e-01
        1.000000000000000000e+00,7.000000000000000000e+00,6.664697463550552925e-01
        2.000000000000000000e+00,7.000000000000000000e+00,6.663120196443859111e-01
        3.000000000000000000e+00,7.000000000000000000e+00,6.664004262050575722e-01
        4.000000000000000000e+00,7.000000000000000000e+00,6.665021952648533254e-01
        5.000000000000000000e+00,7.000000000000000000e+00,6.666111123890067214e-01
        6.000000000000000000e+00,7.000000000000000000e+00,6.667221413104018612e-01
        7.000000000000000000e+00,7.000000000000000000e+00,6.668310914276506240e-01
        8.000000000000000000e+00,7.000000000000000000e+00,6.669329195149436007e-01
        9.000000000000000000e+00,7.000000000000000000e+00,6.670214007442626380e-01
        1.000000000000000000e+01,7.000000000000000000e+00,6.668636878941709423e-01
        1.000000000000000000e+00,8.000000000000000000e+00,6.664671553565268969e-01
        2.000000000000000000e+00,8.000000000000000000e+00,6.663072476998228577e-01
        3.000000000000000000e+00,8.000000000000000000e+00,6.663962705305201961e-01
        4.000000000000000000e+00,8.000000000000000000e+00,6.664994244361608366e-01
        5.000000000000000000e+00,8.000000000000000000e+00,6.666101447363657062e-01
        6.000000000000000000e+00,8.000000000000000000e+00,6.667231048960070572e-01
        7.000000000000000000e+00,8.000000000000000000e+00,6.668338591735474274e-01
        8.000000000000000000e+00,8.000000000000000000e+00,6.669370737822977180e-01
        9.000000000000000000e+00,8.000000000000000000e+00,6.670261728290619585e-01
        1.000000000000000000e+01,8.000000000000000000e+00,6.668662792153110530e-01
        1.000000000000000000e+00,9.000000000000000000e+00,6.664654603829183177e-01
        2.000000000000000000e+00,9.000000000000000000e+00,6.663040583623929258e-01
        3.000000000000000000e+00,9.000000000000000000e+00,6.663933804084154477e-01
        4.000000000000000000e+00,9.000000000000000000e+00,6.664974447369693689e-01
        5.000000000000000000e+00,9.000000000000000000e+00,6.666094420860504410e-01
        6.000000000000000000e+00,9.000000000000000000e+00,6.667238041750613853e-01
        7.000000000000000000e+00,9.000000000000000000e+00,6.668358363404600642e-01
        8.000000000000000000e+00,9.000000000000000000e+00,6.669399627501244598e-01
        9.000000000000000000e+00,9.000000000000000000e+00,6.670293622727493377e-01
        1.000000000000000000e+01,9.000000000000000000e+00,6.668679744632736162e-01
        1.000000000000000000e+00,1.000000000000000000e+01,6.664646443897686012e-01
        2.000000000000000000e+00,1.000000000000000000e+01,6.663024890447618587e-01
        3.000000000000000000e+00,1.000000000000000000e+01,6.663919082297593555e-01
        4.000000000000000000e+00,1.000000000000000000e+01,6.664964158667143757e-01
        5.000000000000000000e+00,1.000000000000000000e+01,6.666090728974014556e-01
        6.000000000000000000e+00,1.000000000000000000e+01,6.667241714870277836e-01
        7.000000000000000000e+00,1.000000000000000000e+01,6.668368638159816175e-01
        8.000000000000000000e+00,1.000000000000000000e+01,6.669414343107787913e-01
        9.000000000000000000e+00,1.000000000000000000e+01,6.670309316686268142e-01
        1.000000000000000000e+01,1.000000000000000000e+01,6.668687906109909136e-01
        1.000000000000000000e+00,1.100000000000000000e+01,6.664646443897686012e-01
        2.000000000000000000e+00,1.100000000000000000e+01,6.663024890447619697e-01
        3.000000000000000000e+00,1.100000000000000000e+01,6.663919082297594665e-01
        4.000000000000000000e+00,1.100000000000000000e+01,6.664964158667143757e-01
        5.000000000000000000e+00,1.100000000000000000e+01,6.666090728974012336e-01
        6.000000000000000000e+00,1.100000000000000000e+01,6.667241714870280056e-01
        7.000000000000000000e+00,1.100000000000000000e+01,6.668368638159817285e-01
        8.000000000000000000e+00,1.100000000000000000e+01,6.669414343107786802e-01
        9.000000000000000000e+00,1.100000000000000000e+01,6.670309316686269252e-01
        1.000000000000000000e+01,1.100000000000000000e+01,6.668687906109908026e-01
        1.000000000000000000e+00,1.200000000000000000e+01,6.664654603829183177e-01
        2.000000000000000000e+00,1.200000000000000000e+01,6.663040583623929258e-01
        3.000000000000000000e+00,1.200000000000000000e+01,6.663933804084154477e-01
        4.000000000000000000e+00,1.200000000000000000e+01,6.664974447369693689e-01
        5.000000000000000000e+00,1.200000000000000000e+01,6.666094420860504410e-01
        6.000000000000000000e+00,1.200000000000000000e+01,6.667238041750613853e-01
        7.000000000000000000e+00,1.200000000000000000e+01,6.668358363404600642e-01
        8.000000000000000000e+00,1.200000000000000000e+01,6.669399627501244598e-01
        9.000000000000000000e+00,1.200000000000000000e+01,6.670293622727493377e-01
        1.000000000000000000e+01,1.200000000000000000e+01,6.668679744632737272e-01
        1.000000000000000000e+00,1.300000000000000000e+01,6.664671553565266748e-01
        2.000000000000000000e+00,1.300000000000000000e+01,6.663072476998227467e-01
        3.000000000000000000e+00,1.300000000000000000e+01,6.663962705305200851e-01
        4.000000000000000000e+00,1.300000000000000000e+01,6.664994244361608366e-01
        5.000000000000000000e+00,1.300000000000000000e+01,6.666101447363657062e-01
        6.000000000000000000e+00,1.300000000000000000e+01,6.667231048960070572e-01
        7.000000000000000000e+00,1.300000000000000000e+01,6.668338591735474274e-01
        8.000000000000000000e+00,1.300000000000000000e+01,6.669370737822977180e-01
        9.000000000000000000e+00,1.300000000000000000e+01,6.670261728290620695e-01
        1.000000000000000000e+01,1.300000000000000000e+01,6.668662792153110530e-01
        1.000000000000000000e+00,1.400000000000000000e+01,6.664697463550550705e-01
        2.000000000000000000e+00,1.400000000000000000e+01,6.663120196443860221e-01
        3.000000000000000000e+00,1.400000000000000000e+01,6.664004262050573502e-01
        4.000000000000000000e+00,1.400000000000000000e+01,6.665021952648533254e-01
        5.000000000000000000e+00,1.400000000000000000e+01,6.666111123890067214e-01
        6.000000000000000000e+00,1.400000000000000000e+01,6.667221413104018612e-01
        7.000000000000000000e+00,1.400000000000000000e+01,6.668310914276506240e-01
        8.000000000000000000e+00,1.400000000000000000e+01,6.669329195149436007e-01
        9.000000000000000000e+00,1.400000000000000000e+01,6.670214007442625270e-01
        1.000000000000000000e+01,1.400000000000000000e+01,6.668636878941707202e-01
        1.000000000000000000e+00,1.500000000000000000e+01,6.664730997869783291e-01
        2.000000000000000000e+00,1.500000000000000000e+01,6.663180845314862211e-01
        3.000000000000000000e+00,1.500000000000000000e+01,6.664054966081143228e-01
        4.000000000000000000e+00,1.500000000000000000e+01,6.665054530423855095e-01
        5.000000000000000000e+00,1.500000000000000000e+01,6.666122244948704534e-01
        6.000000000000000000e+00,1.500000000000000000e+01,6.667210326937413889e-01
        7.000000000000000000e+00,1.500000000000000000e+01,6.668278363313813184e-01
        8.000000000000000000e+00,1.500000000000000000e+01,6.669278502659714558e-01
        9.000000000000000000e+00,1.500000000000000000e+01,6.670153355264032413e-01
        1.000000000000000000e+01,1.500000000000000000e+01,6.668603341518071215e-01
        1.000000000000000000e+00,1.600000000000000000e+01,6.664770000644588688e-01
        2.000000000000000000e+00,1.600000000000000000e+01,6.663251033169390602e-01
        3.000000000000000000e+00,1.600000000000000000e+01,6.664111506008372210e-01
        4.000000000000000000e+00,1.600000000000000000e+01,6.665088727699408633e-01
        5.000000000000000000e+00,1.600000000000000000e+01,6.666133511753928875e-01
        6.000000000000000000e+00,1.600000000000000000e+01,6.667199070068152711e-01
        7.000000000000000000e+00,1.600000000000000000e+01,6.668244175028308351e-01
        8.000000000000000000e+00,1.600000000000000000e+01,6.669221964566965921e-01
        9.000000000000000000e+00,1.600000000000000000e+01,6.670083158660571332e-01
        1.000000000000000000e+01,1.600000000000000000e+01,6.668564335409303823e-01
        1.000000000000000000e+00,1.700000000000000000e+01,6.664815006196560532e-01
        2.000000000000000000e+00,1.700000000000000000e+01,6.663330228538593136e-01
        3.000000000000000000e+00,1.700000000000000000e+01,6.664169300798881146e-01
        4.000000000000000000e+00,1.700000000000000000e+01,6.665119589458776694e-01
        5.000000000000000000e+00,1.700000000000000000e+01,6.666143422671384489e-01
        6.000000000000000000e+00,1.700000000000000000e+01,6.667189113521674315e-01
        7.000000000000000000e+00,1.700000000000000000e+01,6.668213283281555492e-01
        8.000000000000000000e+00,1.700000000000000000e+01,6.669164154775902853e-01
        9.000000000000000000e+00,1.700000000000000000e+01,6.670003945605175177e-01
        1.000000000000000000e+01,1.700000000000000000e+01,6.668519314279444110e-01
        1.000000000000000000e+00,1.800000000000000000e+01,6.664854791213135066e-01
        2.000000000000000000e+00,1.800000000000000000e+01,6.663415913719941130e-01
        3.000000000000000000e+00,1.800000000000000000e+01,6.664222063383633543e-01
        4.000000000000000000e+00,1.800000000000000000e+01,6.665140801477353882e-01
        5.000000000000000000e+00,1.800000000000000000e+01,6.666148761882257912e-01
        6.000000000000000000e+00,1.800000000000000000e+01,6.667183640856010340e-01
        7.000000000000000000e+00,1.800000000000000000e+01,6.668191978934161490e-01
        8.000000000000000000e+00,1.800000000000000000e+01,6.669111359852450960e-01
        9.000000000000000000e+00,1.800000000000000000e+01,6.669918243907705380e-01
        1.000000000000000000e+01,1.800000000000000000e+01,6.668479455078759610e-01
        1.000000000000000000e+00,1.900000000000000000e+01,6.664984000034481770e-01
        2.000000000000000000e+00,1.900000000000000000e+01,6.663563233698643895e-01
        3.000000000000000000e+00,1.900000000000000000e+01,6.664214191117953101e-01
        4.000000000000000000e+00,1.900000000000000000e+01,6.665131018225954884e-01
        5.000000000000000000e+00,1.900000000000000000e+01,6.666140120616598219e-01
        6.000000000000000000e+00,1.900000000000000000e+01,6.667192060591137226e-01
        7.000000000000000000e+00,1.900000000000000000e+01,6.668201621659067824e-01
        8.000000000000000000e+00,1.900000000000000000e+01,6.669119206097181562e-01
        9.000000000000000000e+00,1.900000000000000000e+01,6.669770941226791372e-01
        1.000000000000000000e+01,1.900000000000000000e+01,6.668350157237451503e-01
        1.000000000000000000e+00,2.000000000000000000e+01,6.665274928193409831e-01
        2.000000000000000000e+00,2.000000000000000000e+01,6.663971023015621276e-01
        3.000000000000000000e+00,2.000000000000000000e+01,6.664437620670989881e-01
        4.000000000000000000e+00,2.000000000000000000e+01,6.665301707977003831e-01
        5.000000000000000000e+00,2.000000000000000000e+01,6.666191243753081253e-01
        6.000000000000000000e+00,2.000000000000000000e+01,6.667140894072093316e-01
        7.000000000000000000e+00,2.000000000000000000e+01,6.668030901761193840e-01
        8.000000000000000000e+00,2.000000000000000000e+01,6.668895764592674968e-01
        9.000000000000000000e+00,2.000000000000000000e+01,6.669363119300038001e-01
        1.000000000000000000e+01,2.000000000000000000e+01,6.668059134476987948e-01


        Then by using the LaTeX code :



        documentclass[12pt]{standalone} 
        usepackage[T1]{fontenc}
        usepackage{tikz} %
        usepackage{pgfplots} %
        pgfplotsset{compat=newest} %


        begin{document}
        begin{tikzpicture}
        begin{axis}[colormap/viridis,
        enlarge y limits=false,
        axis equal image,
        axis on top,
        colorbar,
        y dir=reverse,
        ]

        addplot[
        matrix plot*, point meta=explicit, mesh/cols=10,
        ]
        table[x expr=thisrow{y}, y expr=thisrow{x},
        meta=T, ignore chars={#}, col sep=comma,
        ]
        {hydrostat.csv};

        end{axis}
        end{tikzpicture}
        end{document}


        I finally obtain the wanted result:enter image description here






        share|improve this answer















        Short version



        Thanks to the comments of marmot, we could determine that part of the problem comes from the original data in the csv file.



        The problem can be solved by using the numpy/python command to export the data T1 :



        np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)), np.reshape(T1.T, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


        Please note the presence of the data transposed with the T1.T.



        The last point is to use y dir=reverse to obtain the wanted output with pgfplots.



        Long version



        If I use the numpy/python code to export the data (without transpose):



        np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)),  np.reshape(T1, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


        I obtain the following file hydrostat.csv present in the question link or in the answer of Ulrich.



        Then by using the following LaTeX code:



        documentclass[12pt]{standalone} 
        usepackage[T1]{fontenc}
        usepackage{tikz} %
        usepackage{pgfplots} %
        pgfplotsset{compat=newest} %


        begin{document}
        begin{tikzpicture}
        begin{axis}[colormap/viridis,
        enlarge y limits=false,
        axis equal image,
        axis on top,
        colorbar,
        y dir=reverse,
        ]

        addplot[
        matrix plot*, point meta=explicit, mesh/cols=10,
        ]
        table[x expr=thisrow{x}, y expr=thisrow{y},
        meta=T, ignore chars={#}, col sep=comma,
        ]
        {hydrostat.csv};

        end{axis}
        end{tikzpicture}
        end{document}


        I will obtain the resulting picture:enter image description here



        I added a red circle to highlight the problem. Even if the apsect ration is the inverse of the one wanted (this can be solve by using the solution of Ulrich), in this area data are different from the matplotlib picture.



        Then if I use the numpy/python code (with the transpose):



        np.savetxt('./hydrostat.csv', np.column_stack(( np.reshape(X, (lx*ly,1)), np.reshape(Y, (lx*ly,1)),  np.reshape(T1.T, (lx*ly,1))  )), header='x, y, T', comments='# ',delimiter=',', newline='n' )


        I will obtain the file hydrostat.csv:



        # x, y, T
        1.000000000000000000e+00,1.000000000000000000e+00,6.665274928193408721e-01
        2.000000000000000000e+00,1.000000000000000000e+00,6.663971023015621276e-01
        3.000000000000000000e+00,1.000000000000000000e+00,6.664437620670988771e-01
        4.000000000000000000e+00,1.000000000000000000e+00,6.665301707977002721e-01
        5.000000000000000000e+00,1.000000000000000000e+00,6.666191243753081253e-01
        6.000000000000000000e+00,1.000000000000000000e+00,6.667140894072094426e-01
        7.000000000000000000e+00,1.000000000000000000e+00,6.668030901761194951e-01
        8.000000000000000000e+00,1.000000000000000000e+00,6.668895764592672748e-01
        9.000000000000000000e+00,1.000000000000000000e+00,6.669363119300035780e-01
        1.000000000000000000e+01,1.000000000000000000e+00,6.668059134476984617e-01
        1.000000000000000000e+00,2.000000000000000000e+00,6.664984000034479550e-01
        2.000000000000000000e+00,2.000000000000000000e+00,6.663563233698642785e-01
        3.000000000000000000e+00,2.000000000000000000e+00,6.664214191117951991e-01
        4.000000000000000000e+00,2.000000000000000000e+00,6.665131018225954884e-01
        5.000000000000000000e+00,2.000000000000000000e+00,6.666140120616599329e-01
        6.000000000000000000e+00,2.000000000000000000e+00,6.667192060591138336e-01
        7.000000000000000000e+00,2.000000000000000000e+00,6.668201621659066713e-01
        8.000000000000000000e+00,2.000000000000000000e+00,6.669119206097180452e-01
        9.000000000000000000e+00,2.000000000000000000e+00,6.669770941226786931e-01
        1.000000000000000000e+01,2.000000000000000000e+00,6.668350157237450393e-01
        1.000000000000000000e+00,3.000000000000000000e+00,6.664854791213135066e-01
        2.000000000000000000e+00,3.000000000000000000e+00,6.663415913719938910e-01
        3.000000000000000000e+00,3.000000000000000000e+00,6.664222063383633543e-01
        4.000000000000000000e+00,3.000000000000000000e+00,6.665140801477354993e-01
        5.000000000000000000e+00,3.000000000000000000e+00,6.666148761882257912e-01
        6.000000000000000000e+00,3.000000000000000000e+00,6.667183640856011451e-01
        7.000000000000000000e+00,3.000000000000000000e+00,6.668191978934161490e-01
        8.000000000000000000e+00,3.000000000000000000e+00,6.669111359852449850e-01
        9.000000000000000000e+00,3.000000000000000000e+00,6.669918243907704269e-01
        1.000000000000000000e+01,3.000000000000000000e+00,6.668479455078759610e-01
        1.000000000000000000e+00,4.000000000000000000e+00,6.664815006196560532e-01
        2.000000000000000000e+00,4.000000000000000000e+00,6.663330228538590916e-01
        3.000000000000000000e+00,4.000000000000000000e+00,6.664169300798881146e-01
        4.000000000000000000e+00,4.000000000000000000e+00,6.665119589458776694e-01
        5.000000000000000000e+00,4.000000000000000000e+00,6.666143422671383378e-01
        6.000000000000000000e+00,4.000000000000000000e+00,6.667189113521675425e-01
        7.000000000000000000e+00,4.000000000000000000e+00,6.668213283281555492e-01
        8.000000000000000000e+00,4.000000000000000000e+00,6.669164154775901743e-01
        9.000000000000000000e+00,4.000000000000000000e+00,6.670003945605174067e-01
        1.000000000000000000e+01,4.000000000000000000e+00,6.668519314279444110e-01
        1.000000000000000000e+00,5.000000000000000000e+00,6.664770000644588688e-01
        2.000000000000000000e+00,5.000000000000000000e+00,6.663251033169389492e-01
        3.000000000000000000e+00,5.000000000000000000e+00,6.664111506008371100e-01
        4.000000000000000000e+00,5.000000000000000000e+00,6.665088727699410853e-01
        5.000000000000000000e+00,5.000000000000000000e+00,6.666133511753929985e-01
        6.000000000000000000e+00,5.000000000000000000e+00,6.667199070068153821e-01
        7.000000000000000000e+00,5.000000000000000000e+00,6.668244175028308351e-01
        8.000000000000000000e+00,5.000000000000000000e+00,6.669221964566964811e-01
        9.000000000000000000e+00,5.000000000000000000e+00,6.670083158660570222e-01
        1.000000000000000000e+01,5.000000000000000000e+00,6.668564335409302712e-01
        1.000000000000000000e+00,6.000000000000000000e+00,6.664730997869784401e-01
        2.000000000000000000e+00,6.000000000000000000e+00,6.663180845314861100e-01
        3.000000000000000000e+00,6.000000000000000000e+00,6.664054966081143228e-01
        4.000000000000000000e+00,6.000000000000000000e+00,6.665054530423857315e-01
        5.000000000000000000e+00,6.000000000000000000e+00,6.666122244948706754e-01
        6.000000000000000000e+00,6.000000000000000000e+00,6.667210326937413889e-01
        7.000000000000000000e+00,6.000000000000000000e+00,6.668278363313814294e-01
        8.000000000000000000e+00,6.000000000000000000e+00,6.669278502659713448e-01
        9.000000000000000000e+00,6.000000000000000000e+00,6.670153355264032413e-01
        1.000000000000000000e+01,6.000000000000000000e+00,6.668603341518074545e-01
        1.000000000000000000e+00,7.000000000000000000e+00,6.664697463550552925e-01
        2.000000000000000000e+00,7.000000000000000000e+00,6.663120196443859111e-01
        3.000000000000000000e+00,7.000000000000000000e+00,6.664004262050575722e-01
        4.000000000000000000e+00,7.000000000000000000e+00,6.665021952648533254e-01
        5.000000000000000000e+00,7.000000000000000000e+00,6.666111123890067214e-01
        6.000000000000000000e+00,7.000000000000000000e+00,6.667221413104018612e-01
        7.000000000000000000e+00,7.000000000000000000e+00,6.668310914276506240e-01
        8.000000000000000000e+00,7.000000000000000000e+00,6.669329195149436007e-01
        9.000000000000000000e+00,7.000000000000000000e+00,6.670214007442626380e-01
        1.000000000000000000e+01,7.000000000000000000e+00,6.668636878941709423e-01
        1.000000000000000000e+00,8.000000000000000000e+00,6.664671553565268969e-01
        2.000000000000000000e+00,8.000000000000000000e+00,6.663072476998228577e-01
        3.000000000000000000e+00,8.000000000000000000e+00,6.663962705305201961e-01
        4.000000000000000000e+00,8.000000000000000000e+00,6.664994244361608366e-01
        5.000000000000000000e+00,8.000000000000000000e+00,6.666101447363657062e-01
        6.000000000000000000e+00,8.000000000000000000e+00,6.667231048960070572e-01
        7.000000000000000000e+00,8.000000000000000000e+00,6.668338591735474274e-01
        8.000000000000000000e+00,8.000000000000000000e+00,6.669370737822977180e-01
        9.000000000000000000e+00,8.000000000000000000e+00,6.670261728290619585e-01
        1.000000000000000000e+01,8.000000000000000000e+00,6.668662792153110530e-01
        1.000000000000000000e+00,9.000000000000000000e+00,6.664654603829183177e-01
        2.000000000000000000e+00,9.000000000000000000e+00,6.663040583623929258e-01
        3.000000000000000000e+00,9.000000000000000000e+00,6.663933804084154477e-01
        4.000000000000000000e+00,9.000000000000000000e+00,6.664974447369693689e-01
        5.000000000000000000e+00,9.000000000000000000e+00,6.666094420860504410e-01
        6.000000000000000000e+00,9.000000000000000000e+00,6.667238041750613853e-01
        7.000000000000000000e+00,9.000000000000000000e+00,6.668358363404600642e-01
        8.000000000000000000e+00,9.000000000000000000e+00,6.669399627501244598e-01
        9.000000000000000000e+00,9.000000000000000000e+00,6.670293622727493377e-01
        1.000000000000000000e+01,9.000000000000000000e+00,6.668679744632736162e-01
        1.000000000000000000e+00,1.000000000000000000e+01,6.664646443897686012e-01
        2.000000000000000000e+00,1.000000000000000000e+01,6.663024890447618587e-01
        3.000000000000000000e+00,1.000000000000000000e+01,6.663919082297593555e-01
        4.000000000000000000e+00,1.000000000000000000e+01,6.664964158667143757e-01
        5.000000000000000000e+00,1.000000000000000000e+01,6.666090728974014556e-01
        6.000000000000000000e+00,1.000000000000000000e+01,6.667241714870277836e-01
        7.000000000000000000e+00,1.000000000000000000e+01,6.668368638159816175e-01
        8.000000000000000000e+00,1.000000000000000000e+01,6.669414343107787913e-01
        9.000000000000000000e+00,1.000000000000000000e+01,6.670309316686268142e-01
        1.000000000000000000e+01,1.000000000000000000e+01,6.668687906109909136e-01
        1.000000000000000000e+00,1.100000000000000000e+01,6.664646443897686012e-01
        2.000000000000000000e+00,1.100000000000000000e+01,6.663024890447619697e-01
        3.000000000000000000e+00,1.100000000000000000e+01,6.663919082297594665e-01
        4.000000000000000000e+00,1.100000000000000000e+01,6.664964158667143757e-01
        5.000000000000000000e+00,1.100000000000000000e+01,6.666090728974012336e-01
        6.000000000000000000e+00,1.100000000000000000e+01,6.667241714870280056e-01
        7.000000000000000000e+00,1.100000000000000000e+01,6.668368638159817285e-01
        8.000000000000000000e+00,1.100000000000000000e+01,6.669414343107786802e-01
        9.000000000000000000e+00,1.100000000000000000e+01,6.670309316686269252e-01
        1.000000000000000000e+01,1.100000000000000000e+01,6.668687906109908026e-01
        1.000000000000000000e+00,1.200000000000000000e+01,6.664654603829183177e-01
        2.000000000000000000e+00,1.200000000000000000e+01,6.663040583623929258e-01
        3.000000000000000000e+00,1.200000000000000000e+01,6.663933804084154477e-01
        4.000000000000000000e+00,1.200000000000000000e+01,6.664974447369693689e-01
        5.000000000000000000e+00,1.200000000000000000e+01,6.666094420860504410e-01
        6.000000000000000000e+00,1.200000000000000000e+01,6.667238041750613853e-01
        7.000000000000000000e+00,1.200000000000000000e+01,6.668358363404600642e-01
        8.000000000000000000e+00,1.200000000000000000e+01,6.669399627501244598e-01
        9.000000000000000000e+00,1.200000000000000000e+01,6.670293622727493377e-01
        1.000000000000000000e+01,1.200000000000000000e+01,6.668679744632737272e-01
        1.000000000000000000e+00,1.300000000000000000e+01,6.664671553565266748e-01
        2.000000000000000000e+00,1.300000000000000000e+01,6.663072476998227467e-01
        3.000000000000000000e+00,1.300000000000000000e+01,6.663962705305200851e-01
        4.000000000000000000e+00,1.300000000000000000e+01,6.664994244361608366e-01
        5.000000000000000000e+00,1.300000000000000000e+01,6.666101447363657062e-01
        6.000000000000000000e+00,1.300000000000000000e+01,6.667231048960070572e-01
        7.000000000000000000e+00,1.300000000000000000e+01,6.668338591735474274e-01
        8.000000000000000000e+00,1.300000000000000000e+01,6.669370737822977180e-01
        9.000000000000000000e+00,1.300000000000000000e+01,6.670261728290620695e-01
        1.000000000000000000e+01,1.300000000000000000e+01,6.668662792153110530e-01
        1.000000000000000000e+00,1.400000000000000000e+01,6.664697463550550705e-01
        2.000000000000000000e+00,1.400000000000000000e+01,6.663120196443860221e-01
        3.000000000000000000e+00,1.400000000000000000e+01,6.664004262050573502e-01
        4.000000000000000000e+00,1.400000000000000000e+01,6.665021952648533254e-01
        5.000000000000000000e+00,1.400000000000000000e+01,6.666111123890067214e-01
        6.000000000000000000e+00,1.400000000000000000e+01,6.667221413104018612e-01
        7.000000000000000000e+00,1.400000000000000000e+01,6.668310914276506240e-01
        8.000000000000000000e+00,1.400000000000000000e+01,6.669329195149436007e-01
        9.000000000000000000e+00,1.400000000000000000e+01,6.670214007442625270e-01
        1.000000000000000000e+01,1.400000000000000000e+01,6.668636878941707202e-01
        1.000000000000000000e+00,1.500000000000000000e+01,6.664730997869783291e-01
        2.000000000000000000e+00,1.500000000000000000e+01,6.663180845314862211e-01
        3.000000000000000000e+00,1.500000000000000000e+01,6.664054966081143228e-01
        4.000000000000000000e+00,1.500000000000000000e+01,6.665054530423855095e-01
        5.000000000000000000e+00,1.500000000000000000e+01,6.666122244948704534e-01
        6.000000000000000000e+00,1.500000000000000000e+01,6.667210326937413889e-01
        7.000000000000000000e+00,1.500000000000000000e+01,6.668278363313813184e-01
        8.000000000000000000e+00,1.500000000000000000e+01,6.669278502659714558e-01
        9.000000000000000000e+00,1.500000000000000000e+01,6.670153355264032413e-01
        1.000000000000000000e+01,1.500000000000000000e+01,6.668603341518071215e-01
        1.000000000000000000e+00,1.600000000000000000e+01,6.664770000644588688e-01
        2.000000000000000000e+00,1.600000000000000000e+01,6.663251033169390602e-01
        3.000000000000000000e+00,1.600000000000000000e+01,6.664111506008372210e-01
        4.000000000000000000e+00,1.600000000000000000e+01,6.665088727699408633e-01
        5.000000000000000000e+00,1.600000000000000000e+01,6.666133511753928875e-01
        6.000000000000000000e+00,1.600000000000000000e+01,6.667199070068152711e-01
        7.000000000000000000e+00,1.600000000000000000e+01,6.668244175028308351e-01
        8.000000000000000000e+00,1.600000000000000000e+01,6.669221964566965921e-01
        9.000000000000000000e+00,1.600000000000000000e+01,6.670083158660571332e-01
        1.000000000000000000e+01,1.600000000000000000e+01,6.668564335409303823e-01
        1.000000000000000000e+00,1.700000000000000000e+01,6.664815006196560532e-01
        2.000000000000000000e+00,1.700000000000000000e+01,6.663330228538593136e-01
        3.000000000000000000e+00,1.700000000000000000e+01,6.664169300798881146e-01
        4.000000000000000000e+00,1.700000000000000000e+01,6.665119589458776694e-01
        5.000000000000000000e+00,1.700000000000000000e+01,6.666143422671384489e-01
        6.000000000000000000e+00,1.700000000000000000e+01,6.667189113521674315e-01
        7.000000000000000000e+00,1.700000000000000000e+01,6.668213283281555492e-01
        8.000000000000000000e+00,1.700000000000000000e+01,6.669164154775902853e-01
        9.000000000000000000e+00,1.700000000000000000e+01,6.670003945605175177e-01
        1.000000000000000000e+01,1.700000000000000000e+01,6.668519314279444110e-01
        1.000000000000000000e+00,1.800000000000000000e+01,6.664854791213135066e-01
        2.000000000000000000e+00,1.800000000000000000e+01,6.663415913719941130e-01
        3.000000000000000000e+00,1.800000000000000000e+01,6.664222063383633543e-01
        4.000000000000000000e+00,1.800000000000000000e+01,6.665140801477353882e-01
        5.000000000000000000e+00,1.800000000000000000e+01,6.666148761882257912e-01
        6.000000000000000000e+00,1.800000000000000000e+01,6.667183640856010340e-01
        7.000000000000000000e+00,1.800000000000000000e+01,6.668191978934161490e-01
        8.000000000000000000e+00,1.800000000000000000e+01,6.669111359852450960e-01
        9.000000000000000000e+00,1.800000000000000000e+01,6.669918243907705380e-01
        1.000000000000000000e+01,1.800000000000000000e+01,6.668479455078759610e-01
        1.000000000000000000e+00,1.900000000000000000e+01,6.664984000034481770e-01
        2.000000000000000000e+00,1.900000000000000000e+01,6.663563233698643895e-01
        3.000000000000000000e+00,1.900000000000000000e+01,6.664214191117953101e-01
        4.000000000000000000e+00,1.900000000000000000e+01,6.665131018225954884e-01
        5.000000000000000000e+00,1.900000000000000000e+01,6.666140120616598219e-01
        6.000000000000000000e+00,1.900000000000000000e+01,6.667192060591137226e-01
        7.000000000000000000e+00,1.900000000000000000e+01,6.668201621659067824e-01
        8.000000000000000000e+00,1.900000000000000000e+01,6.669119206097181562e-01
        9.000000000000000000e+00,1.900000000000000000e+01,6.669770941226791372e-01
        1.000000000000000000e+01,1.900000000000000000e+01,6.668350157237451503e-01
        1.000000000000000000e+00,2.000000000000000000e+01,6.665274928193409831e-01
        2.000000000000000000e+00,2.000000000000000000e+01,6.663971023015621276e-01
        3.000000000000000000e+00,2.000000000000000000e+01,6.664437620670989881e-01
        4.000000000000000000e+00,2.000000000000000000e+01,6.665301707977003831e-01
        5.000000000000000000e+00,2.000000000000000000e+01,6.666191243753081253e-01
        6.000000000000000000e+00,2.000000000000000000e+01,6.667140894072093316e-01
        7.000000000000000000e+00,2.000000000000000000e+01,6.668030901761193840e-01
        8.000000000000000000e+00,2.000000000000000000e+01,6.668895764592674968e-01
        9.000000000000000000e+00,2.000000000000000000e+01,6.669363119300038001e-01
        1.000000000000000000e+01,2.000000000000000000e+01,6.668059134476987948e-01


        Then by using the LaTeX code :



        documentclass[12pt]{standalone} 
        usepackage[T1]{fontenc}
        usepackage{tikz} %
        usepackage{pgfplots} %
        pgfplotsset{compat=newest} %


        begin{document}
        begin{tikzpicture}
        begin{axis}[colormap/viridis,
        enlarge y limits=false,
        axis equal image,
        axis on top,
        colorbar,
        y dir=reverse,
        ]

        addplot[
        matrix plot*, point meta=explicit, mesh/cols=10,
        ]
        table[x expr=thisrow{y}, y expr=thisrow{x},
        meta=T, ignore chars={#}, col sep=comma,
        ]
        {hydrostat.csv};

        end{axis}
        end{tikzpicture}
        end{document}


        I finally obtain the wanted result:enter image description here







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited Mar 17 at 9:55

























        answered Mar 16 at 18:55









        R. NR. N

        303214




        303214






























            draft saved

            draft discarded




















































            Thanks for contributing an answer to TeX - LaTeX Stack Exchange!


            • Please be sure to answer the question. Provide details and share your research!

            But avoid



            • Asking for help, clarification, or responding to other answers.

            • Making statements based on opinion; back them up with references or personal experience.


            To learn more, see our tips on writing great answers.




            draft saved


            draft discarded














            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f479811%2fmistake-when-exporting-numpy-data-to-csv-to-pgfplots%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown





















































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown

































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown







            Popular posts from this blog

            How to change which sound is reproduced for terminal bell?

            Title Spacing in Bjornstrup Chapter, Removing Chapter Number From Contents

            Can I use Tabulator js library in my java Spring + Thymeleaf project?