A Third-Order Accurate Direct Eulerian GRP Scheme for One-Dimensional Relativistic Hydrodynamics

DOI10.4208/eajam.101013.100314azbMath1309.76145OpenAlexW2047088127MaRDI QIDQ5175443

Zhicheng Yang, Kailiang Wu, Hua-Zhong Tang

Publication date: 23 February 2015

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.101013.100314a

zbMATH Keywords

Godunov-type schemeRiemann invariantrelativistic hydrodynamicsWENORankine-Hugoniot jump conditiongeneralised Riemann problem

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (12)

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 physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics ⋮ Runge-Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics ⋮ Second-order accurate genuine BGK schemes for the ultra-relativistic flow simulations ⋮ Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics ⋮ Second-order direct Eulerian GRP schemes for radiation hydrodynamical equations ⋮ High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics ⋮ Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics ⋮ A Direct Eulerian GRP Scheme for Spherically Symmetric General Relativistic Hydrodynamics

Cites Work

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• A second-order Godunov-type scheme for compressible fluid dynamics
• An adaptive GRP scheme for compressible fluid flows
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• Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem
• The generalized Riemann problem method for the shallow water equations with bottom topography
• Accuracy of the Adaptive GRP Scheme and the Simulation of 2-D Riemann Problems for Compressible Euler Equations
• An efficient shock-capturing central-type scheme for multidimensional relativistic flows
• Generalized Riemann Problems in Computational Fluid Dynamics

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