Riemann solver for relativistic hydrodynamics

DOI10.1006/jcph.1994.1167zbMath0810.76062OpenAlexW2086183976MaRDI QIDQ1339553

Dinshaw S. Balsara

Publication date: 6 December 1994

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

Full work available at URL: https://doi.org/10.1006/jcph.1994.1167

zbMATH Keywords

non-relativistic limitNewton methodsecant methoditerative techniquesoblique shockstwo-shock approximation

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items

Second-order accurate BGK schemes for the special relativistic hydrodynamics with the Synge equation of state, High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics, Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics, A kinetic beam scheme for relativistic gas dynamics, A MUSTA-FORCE algorithm for solving partial differential equations of relativistic hydrodynamics, Runge-Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics, Second-order accurate genuine BGK schemes for the ultra-relativistic flow simulations, A direct Eulerian GRP scheme for relativistic hydrodynamics: two-dimensional case, A fluid-mixture type algorithm for compressible multicomponent flow with van der Waals equation of state, A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case, Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics, 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, Steger-Warming flux vector splitting method for special relativistic hydrodynamics, An accurate and efficient Riemann solver with tangent velocities for Godunov schemes in special relativistic hydrodynamics, Numerical hydrodynamics in general relativity, Numerical hydrodynamics in general relativity, Riemann solvers in relativistic astrophysics, Numerical hydrodynamics and magnetohydrodynamics in general relativity, A flux-split algorithm applied to relativistic flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Efficient solution algorithms for the Riemann problem for real gases
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• High Resolution Schemes and the Entropy Condition
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• Glimm’s Method for Gas Dynamics