绘制带孔的不规则 xy 数据的轮廓

用户1234

过去两天我一直被这个问题困扰,到目前为止还没有找到解决方案。我有以下格式的数据:

x1, y1, val1
..  ..  ..
..  ..  ..
xn, yn, valn

这些值val1, ..., valn是我在几何模拟后获得的场量,如下所示。

在此处输入图片说明

Only the grey region is the domain of interest whereas the one in blue/dark blue is not (including the inverted L shaped blue region in the interior). Thus the x and y coordinates of the data are scattered/irregular and with large gaps due to the hole in my original geometry. Is there a way to get a filled contour plot for this data? Trying the following in Matlab gives me triangulation with triangles outside the original polygon. Also, it fills the holes which is not what I want.

x = data(:,1);
y = data(:,2);
z = data(:,3);

%
dt = delaunayTriangulation(x,y) ;
tri = dt.ConnectivityList ;
xi = dt.Points(:,1) ;
yi = dt.Points(:,2) ;
F = scatteredInterpolant(x,y,z);
zI = F(xi,yi) ;
trisurf(tri,xi,yi,zI) 

Another possibility was to import the data in ParaView and do filtering as Table-to-Points--> Delaunay Triangulation 2D. But this has the same problems as Matlab. The holes are not analytical to mask the unwanted interpolated regions with NaNs by using some mathematical expression.

user1234

Paraview 似乎对此解决方案虽然我没有使用有限元来求解 pde,但我可以在 GMsh 中为我的带孔几何体生成一个有限元网格。然后我在 ParaView 中导入我的 CSV 数据文件和 GMsh 网格文件(.vtk 格式)。使用数据集过滤器对我的字段数据进行重新采样,并将 Delaunay2D 的结果作为输入给我仅在原始几何体上的轮廓。

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