BOSCHERI, Walter; DIMARCO, Giacomo; LOUBÈRE, Raphaël; TAVELLI, Maurizio; VIGNAL, Marie-Hélène

doi:10.1016/j.jcp.2020.109486

Métadonnées

Afficher la notice complète

Licence d’utilisation du document

BOSCHERI, Walter

DIMARCO, Giacomo

LOUBÈRE, Raphaël
Institut de Mathématiques de Bordeaux [IMB]

Langue

Article de revue

Ce document a été publié dans

Journal of Computational Physics. 2020-08, vol. 415, p. 109486

Elsevier

Résumé en anglais

This article deals with the development of a numerical method for the compressible Euler system valid for all Mach numbers: from extremely low to high regimes. In classical fluid dynamic problems, one faces both situations in which the flow is subsonic, and consequently acoustic waves are very fast compared to the velocity of the fluid, and situations in which the fluid moves at high speed and compressibility may generate shock waves. Standard explicit fluid solvers such as Godunov method fail in the description of both flows due to time step restrictions caused by the stiffness of the equations which leads to prohibitive computational costs. In this work, we develop a new method for the full Euler system of gas dynamics based on partitioning the equations into a fast and a low scale. Such a method employs a time step which is independent of the speed of the pressure waves and works uniformly for all Mach numbers. Cell centered discretization on Cartesian meshes is proposed. Numerical results up to the three dimensional case show the accuracy, the robustness and the effectiveness of the proposed approach.< Réduire

Mots clés en anglais

All Mach number flow solver

Asymptotic preserving

Implicit-Explicit Runge-Kutta schemes

Incompressible flows

Multidimensional Euler equations

Métadonnées

Licence d’utilisation du document

A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations

Langue

Ce document a été publié dans

Résumé en anglais

Mots clés en anglais

DOI

Origine

Unités de recherche