A tetrahedral-based superconvergent scheme for aeroacoustics

Nicolas Gourvitch (1) , Gilbert Rogé (2) , Ilia Abalakin (3) , Alain Dervieux (4) , Tatiana Kozubskaya (3)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
2 Dassault Aviation
3 IMM-RAS - Institute for Mathematical Modelling
4 SMASH - Simulation, modeling and analysis of heterogeneous systems

We describe a numerical scheme for hyperbolics well adapted to both aerodynamics and aeroacoustics. The scheme is vertex centered, It applies with second order accuracy to unstructured tetrahedrizations and extends to higher order (up to sixth) on a certain type of cartesian meshes. Several basic aeroacoustic numerical experiments are presented.

Mots clés: AEROACOUSTICS; NUMERICAL SCHEMES; HYPERBOLIC MODELS; LINEARISED EULER EQUATIONS; UNSTRUCTURED MESHES

Domaines: Autre [cs.OH]

Nicolas Gourvitch, Gilbert Rogé, Ilia Abalakin, Alain Dervieux, Tatiana Kozubskaya. A tetrahedral-based superconvergent scheme for aeroacoustics. [Research Report] RR-5212, INRIA. 2004, pp.28. ⟨inria-00070781⟩