The thermal hydraulics and fluid dynamics division (STMF) of CEA Saclay design models, numerical methods and softwares for researches in fluid dynamics and thermal hydraulics.
The numerical methods used in the STMF are mostly of staggered type, with siome unknowns located at the cell centers and others at the faces of the mesh. This approach is historically used on cartesian grids and cannot be used with general geometries and meshes.
In order to meet the increasing needs for staggered type methods in new nuclear reactor designs based on complex geometries and meshes, the STMF investigates the extension of staggered discretisations to unstructured meshes.
The purpose of this offer is to study and test numerically the PolyMAC discretisation which is inspired from Hybrid Mimetic Mixed finite volume discretisations. The chosen candidate will compare the three variants of the PolyMAC family for differential operators with increasing complexity (Laplacean, Stokes and Navier-Stokes), on meshes inspired from actual nuclear safety studies. He will perform a theoretical study of the discretisations as well as some benchmark to assess the convergence order and the computational time.