A BGK-Type Flux-Vector Splitting Scheme for the Ultrarelativistic Euler Equations

DOI10.1137/S1064827503422208zbMath1071.82049OpenAlexW1984698227MaRDI QIDQ4652321

Gerald Warnecke, Shamsul Qamar, Matthias Kunik

Publication date: 25 February 2005

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827503422208

zbMATH Keywords

hyperbolic systemsultrarelativistic Euler equationsBGK-type KFVS scheme

Mathematics Subject Classification ID

Special relativity (83A05) PDEs in connection with relativity and gravitational theory (35Q75) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Complexity and performance of numerical algorithms (65Y20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (10)

Second-order accurate BGK schemes for the special relativistic hydrodynamics with the Synge equation of state ⋮ Second-order accurate genuine BGK schemes for the ultra-relativistic flow simulations ⋮ The space-time CESE method for solving special relativistic hydrodynamic equations ⋮ The space-time CE/SE method for solving ultra-relativistic Euler equations ⋮ Application of a discontinuous Galerkin finite element method to special relativistic hydrodynamic models ⋮ The analytical solution of two interesting hyperbolic problems as a test case for a finite volume method with a new grid refinement technique ⋮ A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics ⋮ Global weak solutions to the relativistic BGK equation ⋮ The space-time CE/SE method for solving one-dimensional special relativistic magnetohydrodynamics equations ⋮ The modified Rusanov scheme for solving the ultra-relativistic Euler equations

Uses Software

• HLLE

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