An all-speed relaxation scheme for gases and compressible materials - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Journal of Computational Physics Year : 2017

An all-speed relaxation scheme for gases and compressible materials

Abstract

We present a novel relaxation scheme for the simulation of compressible material flows at all speeds. An Eulerian model describing gases, fluids and elastic solids with the same system of conservation laws is adopted. The proposed numerical scheme is based on a fully implicit time discretization, easily implemented thanks to the linearity of the transport operator in the relaxation system. The spatial discretization is obtained by a combination of upwind and centered schemes in order to recover the correct numerical viscosity in all different Mach regimes. The scheme is validated by simulating gas and liquid flows with different Mach numbers. The simulation of the deformation of compressible solids is also approached, assessing the ability of the scheme in approximating material waves in hyperelastic media.
Fichier principal
Vignette du fichier
article_reviewed.pdf (948.01 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01586863 , version 1 (13-09-2017)

Identifiers

Cite

Emanuela Abbate, Angelo Iollo, Gabriella Puppo. An all-speed relaxation scheme for gases and compressible materials. Journal of Computational Physics, 2017, 351, pp.1-24. ⟨10.1016/j.jcp.2017.08.052⟩. ⟨hal-01586863⟩
152 View
329 Download

Altmetric

Share

Gmail Facebook X LinkedIn More