An all Mach number relaxation upwind scheme

DOI10.5802/smai-jcm.60zbMath1447.65043OpenAlexW3019102552MaRDI QIDQ2188101

Christophe Berthon, Markus Zenk, Christian Klingenberg

Publication date: 3 June 2020

Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/smai-jcm.60

zbMATH Keywords

upwind schemesrelaxation schemeshyperbolic systemasymptotic preserving schemeslow Mach number flowsEuler flow

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)

Related Items (6)

An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity ⋮ Implicit Relaxed All Mach Number Schemes for Gases and Compressible Materials ⋮ Structure-preserving discretizations for nonlinear systems of hyperbolic, involution-constrained partial differential equations on manifolds. Abstracts from the workshop held April 10--16, 2022 ⋮ Recasting an operator splitting solver into a standard finite volume flux-based algorithm. The case of a Lagrange-projection-type method for gas dynamics ⋮ An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations ⋮ Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations

Uses Software

• HLLE
• Needles

Cites Work

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