The modified Rusanov scheme for solving the ultra-relativistic Euler equations

DOI10.1016/j.euromechflu.2021.07.014zbMath1497.65146OpenAlexW3195929308MaRDI QIDQ2058284

Mahmoud A. E. Abdelrahman, Kamel Mohamed

Publication date: 7 December 2021

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2021.07.014

zbMATH Keywords

finite volume schemeRiemann invariantsrarefaction wavesrelativistic Euler equationsRiemann solutionsentropy shocksmodified Rusanov scheme

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Initial value problems for first-order hyperbolic systems (35L45) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)

Related Items (5)

General synthetic iterative scheme for polyatomic rarefied gas flows ⋮ Some recent finite volume schemes for one and two layers shallow water equations with variable density ⋮ The NHRS scheme for the two models of traffic flow ⋮ Simulating the dusty gas flow model via NHRS scheme ⋮ A predictor-corrector scheme for simulation of two-phase granular flows over a moved bed with a variable topography

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