Fluid-structure interaction (FSI) simulations require the computational mesh to follow the deforming structure, which is typically handled with the Arbitrary Lagrangian Eulerian (ALE) formulation together with the Geometric Conservation Law (GCL). For large deformations, however, mesh quality degrades over time as cells become strongly distorted and their Jacobian approaches zero or turns negative, which ruins accuracy and eventually crashes the simulation.
In this thesis, a workflow for dynamic remeshing will be developed within our in-house high-order discontinuous Galerkin solver. At selected points in time, the solver calls Gmsh and PyHOPE directly to remesh, subdivide or recombine the affected elements. The solution is then projected onto the new mesh and the ALE/GCL simulation continues. The main tasks are:
If you are interested, even if you don't fulfill all the listed requirements, please send your application (incl. CV and latest transcript) via e-mail.
Start: as soon as possible