Nonlinear V6 schemes for compressible flow

Bruno Koobus (1) , Stephen F. Wornom (2) , Simone Camarri (3) , Maria-Vittoria Salvetti (3) , Alain Dervieux (2, 4, 5)

1 Département de Mathématiques [Montpellier]
2 SMASH - Simulation, modeling and analysis of heterogeneous systems
3 DIA - Dipartimento Ingegneria Aerospaziale "Lucio Lazzarino"
4 INRIA Rocquencourt
5 CRISAM - Inria Sophia Antipolis - Méditerranée

We describe several numerical schemes for conservation laws well adapted to nonlinear aerodynamics. The schemes are vertex centered, dissipative. They apply with second-order accuracy to unstructured tetrahedrizations and extend to higher order (up to sixth) on a certain type of Cartesian triangulations/tetrahedrizations.

Mots clés: Aerodynamics; numerical schemes; hyperbolic models; Euler equations; unstructured meshes

Domaines: Analyse numérique [math.NA]

Bruno Koobus, Stephen F. Wornom, Simone Camarri, Maria-Vittoria Salvetti, Alain Dervieux. Nonlinear V6 schemes for compressible flow. [Research Report] INRIA. 2008, pp.37. ⟨inria-00224120v2⟩