Volume Mesh Adaptation With a Meshfree Surface Model

We present a method to adapt a tetrahedron mesh together with a surface mesh with respect to a size criterion. Both surface and tetrahedron mesh adaptation are carried out simultaneously and no CAD is required to adapt the surface mesh. The adaptation procedure consists in splitting or removing interior and surface edges in order to enforce a given size criterion. The enrichment process is based on a bisection technique. Mesh conformity during the refinement process is guaranteed since all possible remeshing configurations of tetrahedra are examined. Surface nodes are projected on a geometrical model once the tetrahedron mesh has been adapted. The building of a surface model method is based on a meshfree technique denoted as Hermite Diffuse Interpolation. Surface and volume mesh optimization procedures are carried out during the adaptation and at the end of the process to enhance the mesh.