Some examples of high order simulations parallel of inviscid flows on unstructured and hybrid meshes by residual distribution schemes

Remi Abgrall (1, 2) , Guillaume Baurin (2, 3) , Pascal Jacq (2) , Mario Ricchiuto (1, 2)

1 IMB - Institut de Mathématiques de Bordeaux
2 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
3 SNECMA Villaroche [Moissy-Cramayel]

Our aim is to report some recent advances in the development of residual distribution (RD) schemes using unstructured meshes: we present here some 3D results using pure tet meshes with a third order accurate scheme and 3D results using meshes with hex only. These latter meshes originate from ONERA where they have been used for Euler simulations with the Elsa code. Elsa only uses block structured meshes so that we have transformed the "ijk" format of the mesh into a nonstructured one without modifying the location of vertices and the connectivity of the mesh, so that it is exactly the same mesh.

Domaines: Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Remi Abgrall, Guillaume Baurin, Pascal Jacq, Mario Ricchiuto. Some examples of high order simulations parallel of inviscid flows on unstructured and hybrid meshes by residual distribution schemes. Computers and Fluids, 2011, ⟨10.1016/j.compfluid.2011.05.014⟩. ⟨hal-00652390⟩