A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime

DOI10.4208/CICP.291212.160913AzbMath1373.76135arXiv1212.6622OpenAlexW2462588535WikidataQ125865197 ScholiaQ125865197MaRDI QIDQ5372224

Philippe G. LeFloch, Hasan Makhlof

Publication date: 27 October 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6622

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Compressible fluids and gas dynamics (76Nxx)

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A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior ⋮ Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere ⋮ Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds ⋮ A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime ⋮ 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 ⋮ Convergence of the finite volume method on a Schwarzschild background ⋮ Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary ⋮ Ergodicity and Hopf-Lax-Oleinik formula for fluid flows evolving around a black hole under a random forcing ⋮ Asymptotic structure of cosmological fluid flows: a numerical study ⋮ Local invariants of divergence-free webs

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