A High-Resolution Penalization Method for large Mach number Flows in the presence of Obstacles

Olivier Boiron (1, 2) , Guillaume Chiavassa (2, 3) , Rosa Donat (4)

1 IRPHE - Institut de Recherche sur les Phénomènes Hors Equilibre
2 ECM - École Centrale de Marseille
3 M2P2 - Modélisation et Simulation Numérique (en mécanique des fluides)
4 Departamento de Matematica Applicada

A penalization method is applied to model the interaction of large Mach number compressible flows with obstacles. A supplementary term is added to the compressible Navier-Stokes system, seeking to simulate the effect of the Brinkman-penalization technique used in incompressible flow simulations including obstacles. We present a computational study comparing numerical results obtained with this method to theoretical results and to simulations with Fluent software. Our work indicates that this technique can be very promising in applications to complex flows.

Mots clés: Shock Waves; Brinkman Penalization; Complex geometries; Compressible Navier-Stokes Equations; Shock Waves.

Domaines: Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Modélisation et simulation; Milieux fluides et réactifs

Olivier Boiron, Guillaume Chiavassa, Rosa Donat. A High-Resolution Penalization Method for large Mach number Flows in the presence of Obstacles. 2008. ⟨hal-00259907v1⟩