Provide an option to configure the rbf-interpolation

[arvedes]

The default rbf-iterpolation

fenicsx-adapter/fenicsxprecice/expression_core.py

Line 157 in 6db7f45

rbf_interp = Rbf(coords_x, coords_y, res)

currently used in the adapter may lead to issues for some cases, see e.g. https://precice.discourse.group/t/problem-with-rbf-interpolation-in-the-fenics-x-adapter/1037. We should provide an option to configure the rbf parameters.

[precice-bot]

This issue has been mentioned on preCICE Forum on Discourse. There might be relevant details there:

https://precice.discourse.group/t/problem-with-rbf-interpolation-in-the-fenics-x-adapter/1037/7

[BenjaminRodenberg]

Another idea: There is actually PyRBF, which also comes from the "preCICE bubble". If we use this package, we could make sure that the RBF interpolation performed in the adapter is consistent with the interpolation performed in preCICE. I'll try to evaluate this option with @IshaanDesai and @KyleDavisSA.

Note: The most recent and actively maintained version is Kyle's fork: https://github.com/KyleDavisSA/PyRBF

[IshaanDesai]

Using PyRBF is a really good idea here, as it would lead to having a choice between several integration schemes. The major work package I see here is to convert PyRBF into a library if that is not already the case.