Skip to Main content Skip to Navigation
Journal articles

An asymptotic preserving scheme on staggered grids for the barotropic Euler system in low Mach regimes

Thierry Goudon 1, 2 Julie Llobell 1 Sebastian Minjeaud 3, 2
1 COFFEE - COmplex Flows For Energy and Environment
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351
3 CASTOR - Control, Analysis and Simulations for TOkamak Research
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We present a new scheme for the simulation of the barotropic Euler equation in low Mach regimes. The method uses two main ingredients. First, the system is treated with a suitable time splitting strategy, directly inspired from [J. Haack, S. Jin, J.-G. Liu, Comm. Comput. Phys., 12 (2012) 955-980], that separates low and fast waves. Second, we adapt a numerical scheme where the discrete densities and velocities are stored on staggered grids, in the spirit of MAC methods, and with numerical fluxes derived form the kinetic approach. We bring out the main properties of the scheme in terms of consistency, stability, and asymptotic behaviour, and we present a series of numerical experiments to validate the method.
Complete list of metadata

https://hal.inria.fr/hal-02418641
Contributor : Thierry Goudon <>
Submitted on : Thursday, December 10, 2020 - 10:59:28 AM
Last modification on : Thursday, December 10, 2020 - 4:32:10 PM
Long-term archiving on: : Thursday, March 11, 2021 - 7:08:27 PM

File

BasMach-GLM.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02418641, version 1

Citation

Thierry Goudon, Julie Llobell, Sebastian Minjeaud. An asymptotic preserving scheme on staggered grids for the barotropic Euler system in low Mach regimes. Numerical Methods for Partial Differential Equations, Wiley, 2020, 36 (5), pp.1098-1128. ⟨hal-02418641⟩

Share

Metrics

Record views

66

Files downloads

39