Floating point error after mesh transform

for my OpenFoam simulation I perform a Hammer-Aitov Transformation. This works pretty well, however when opening the transformed data in paraview there are some render issues. When I set to surface in representation I have a lot of falsely interpolated area as shown in the image.

Furthermore, when I set the representation to points, the rendering is just fine. I think there is a floating point error when loading the case, as I noticed some collapsed cells. Is there a possibility to increase the precision?

Thanks in advance!

please share your data