Steger-Warming flux vector splitting method for special relativistic hydrodynamics

DOI10.1002/mma.2857zbMath1298.35161OpenAlexW2071046048MaRDI QIDQ5415922

Peng He, Jian Zhao, Hua-Zhong Tang

Publication date: 19 May 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2857

zbMATH Keywords

flux vector splittingconservation lawrelativistic hydrodynamicshomogeneity property

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs in connection with relativity and gravitational theory (35Q75) Hypersonic flows (76K05)

Related Items (8)

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 ⋮ Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics ⋮ A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes ⋮ Finite volume local evolution Galerkin method for two-dimensional 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 ⋮ Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics

Uses Software

• HE-E1GODF

Cites Work

• Unnamed Item
• A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case
• Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
• New algorithms for ultra-relativistic numerical hydrodynamics
• A flux-split algorithm applied to relativistic flows
• Riemann solver for relativistic hydrodynamics
• A kinetic beam scheme for relativistic gas dynamics
• Riemann solvers in relativistic astrophysics
• Relativistic hydrodynamics and essentially non-oscillatory shock capturing schemes
• Extension of the piecewise parabolic method to one-dimensional relativistic hydrodynamics
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• NND Schemes and Their Applications to Numerical Simulation of Two- and Three-Dimensional Flows
• The analytical solution of the Riemann problem in relativistic hydrodynamics
• An Iterative Riemann Solver for Relativistic Hydrodynamics
• An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics
• An efficient shock-capturing central-type scheme for multidimensional relativistic flows
• Relativistic Fluids and Magneto-fluids
• On the solution of nonlinear hyperbolic differential equations by finite differences
• Numerical hydrodynamics in special relativity
• Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes

This page was built for publication: Steger-Warming flux vector splitting method for special relativistic hydrodynamics