For complex geometries aligned meshes are difficult to create. One alternative to creating aligned meshes is to create a not-aligned mesh (for example on the unit-square) and deform the mesh so
that it aligns with the geometry of the problem. Other applications of mesh-deformations include simulations where the mesh needs to be changed during the simulation, for example to be aligned to
the interior surface of a multi-phase flow or to the interface of an FSI problem.
In this talk we present a mesh-deformation technique that is based on solid mechanics and partially on the work of J. Paul [1]. First we give a short introduction to solid mechanics and present the model. Then, a solver is presented and first results are shown.
The results indicate that the solver has problems when classical stopping criteria are used. We therefore
investigated the solver behavior and the intermediate iterates of the mesh during the solver process.
Both indicate that it might be a good idea to search for a sufficiently good mesh instead of looking for the optimal one. We welcome discussions about stopping-criteria at the end of our talk.