Coupling two cell-centered finite volume schemes for solving anisotropic diffusion and fluid dynamics on unstructured moving meshes

Pascal Jacq (1) , P.H. Maire (1) , Jean Claudel (1) , Remi Abgrall (2)

1 CESTA - Centre d'études scientifiques et techniques d'Aquitaine
2 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems

In our work we intend to model the physical phenomenons occuring during the atmospheric re-entry of a spacecraft at a low altitude. We developped a cell-centered finite volume scheme for solving anisotropic diffusion on unstructured moving meshes in order to model the thermal transfers occuring in the re-entry vehicule. We also developped a cell-centered finite volume scheme for solving the Navier-Stokes equations in order to model the hypersonic fluid flow around the vehicle. In this talk we will focus on the modelisation of the ablation phenomenon which introduce a coupling between the flow and the thermal transfers.

Mots clés: second order finite volume; unstructured meshes; anisotropic diffusion; ALE framework; fluid dynamics; coupling.; coupling

Domaines: Analyse numérique [math.NA]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Pascal Jacq, P.H. Maire, Jean Claudel, Remi Abgrall. Coupling two cell-centered finite volume schemes for solving anisotropic diffusion and fluid dynamics on unstructured moving meshes. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-00855868⟩