Asymptotic preserving low Mach number accurate IMEX finite volume schemes for the isentropic Euler equations

DOI10.1007/s10915-020-01138-8zbMath1434.76077arXiv1907.01711OpenAlexW3005408786MaRDI QIDQ2302380

S. Samantaray, K. R. Arun

Publication date: 26 February 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01711

zbMATH Keywords

finite volume methodasymptotic accuracyzero Mach number limitcompressible Euler systemasymptotic preservingincompressible Euler systemIMEX-RK schemes

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)

Related Items (7)

A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers ⋮ High order all-speed semi-implicit weighted compact nonlinear scheme for the isentropic Navier-Stokes equations ⋮ An asymptotic preserving and energy stable scheme for the barotropic Euler system in the incompressible limit ⋮ High order structure-preserving finite difference WENO schemes for MHD equations with gravitation in all sonic Mach numbers ⋮ Analysis of an asymptotic preserving low Mach number accurate IMEX-RK scheme for the wave equation system ⋮ Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations ⋮ A unified asymptotic preserving and well-balanced scheme for the Euler system with multiscale relaxation

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