A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior

DOI10.2140/camcos.2018.13.271zbMath1408.65063OpenAlexW2893852734WikidataQ129245136 ScholiaQ129245136MaRDI QIDQ1627616

Shuyang Xiang, Philippe G. LeFloch

Publication date: 30 November 2018

Published in: Communications in Applied Mathematics and Computational Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/camcos.2018.13.271

zbMATH Keywords

steady state solutionfinite volume schemeSchwarzschild black holegeneralized Riemann problemrelativistic fluidrandom choice method

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Black holes (83C57) Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)

Related Items (3)

Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study ⋮ A class of well-balanced algorithms for relativistic fluids on a Schwarzschild background ⋮ Asymptotic structure of cosmological fluid flows: a numerical study

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