Anisotropic boundary layer mesh generation for immersed complex geometries

This paper proposes a new method to build boundary layer meshes over an immersed complex geometry. It allows to generate an anisotropic semi-structured mesh with a smooth gradation of mesh size from a geometry immersed into an arbitrary coarse domain, while capturing and keeping the interface. The idea is to generate an a priori mesh fitting the geometry boundary layer which is ready for simulations. The mesh size distribution is driven by a levelset distance function and is determined using physical parameters available before the simulation, based on the boundary layer theory. The aspect ratio is then determined knowing the shape of the geometry, and all is applied in a metric tensor field using a gradation thanks to the new multi-levelset method. Then, the mesh generator adapt the initial mesh on the given metric field to create the desired boundary layer mesh.