Skip to Main content Skip to Navigation
Book sections

On the Behaviour of Upwind Schemes in the Low Mach Number Limit: A Review

Hervé Guillard 1, 2 B Nkonga 1, 2
2 CASTOR - Control, Analysis and Simulations for TOkamak Research
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné
Abstract : This work is devoted to a review of different modifications proposed to enable compressible flow solvers to compute accurately flows near the incompressible limit. First the reasons of the failure of upwind solvers to obtain accurate solutions in the low Mach number regime are explained. Then different correction methods proposed in the literature are reviewed and discussed. This work concludes by some numerical experiments to illustrate the behaviour of the different methods.
Complete list of metadata

https://hal.inria.fr/hal-01534938
Contributor : Herve Guillard Connect in order to contact the contributor
Submitted on : Thursday, June 8, 2017 - 2:37:28 PM
Last modification on : Tuesday, September 28, 2021 - 2:10:07 PM

Identifiers

`

Citation

Hervé Guillard, B Nkonga. On the Behaviour of Upwind Schemes in the Low Mach Number Limit: A Review. Rémi Abgrall and Chi-Wang Shu. Handbook of Numerical Analysis, Volume 18, Elsevier, 2017, 9780444639103. ⟨10.1016/bs.hna.2016.09.002⟩. ⟨hal-01534938⟩

Share

Metrics

Record views

481