Two-Stage Fourth-Order Accurate Time Discretizations for 1D and 2D Special Relativistic Hydrodynamics

DOI10.4208/jcm.1905-m2018-0020zbMath1463.65269arXiv1712.05546OpenAlexW3020289998MaRDI QIDQ3385686

Yuhuan Yuan, Hua-Zhong Tang

Publication date: 14 January 2021

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.05546

zbMATH Keywords

hyperbolic conservation lawstime discretizationrelativistic hydrodynamicsshock-capturing schemeGRP method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (8)

On the Explicit Two-Stage Fourth-Order Accurate Time Discretizations ⋮ High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics ⋮ Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics ⋮ Second-order accurate BGK schemes for the special relativistic hydrodynamics with the Synge equation of state ⋮ High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics ⋮ High-order accurate solutions of generalized Riemann problems of nonlinear hyperbolic balance laws ⋮ High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics ⋮ Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

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