Hi everyone,

preCICE offers different RBF mapping functions.

I’ve found the RBF shape calculator for gaussian fucntions.

As in this thesis stated, the thin-plate splines function is the most accurate one, which is why I chose the thin-plate-splines function.

Now in this paper is described how to calculate the support radius for gaussian functions.

For the thin-plate-splines, I’m not really sure how to calculate it.

I’ve found the following equation in this thesis for the thin-plate-splines:

\phi(x)=1−30r ̃^2−10 r ̃^3+45 r ̃^4−6r ̃^5−60 r ̃^3logr ̃

while r ̃ is the normalized distance from the center.

Example case:

The airfoil, which is the coupling body, has the following dimensions:

chord length: 0.144 m

maximum thickness: 0.017 m

span length: 0.15 m