A Direct Eulerian GRP Scheme for Spherically Symmetric General Relativistic Hydrodynamics

DOI10.1137/16M1055657zbMath1419.76468arXiv1601.00931OpenAlexW3100827090MaRDI QIDQ2815693

Kailiang Wu, Hua-Zhong Tang

Publication date: 30 June 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00931

zbMATH Keywords

Riemann problemGodunov-type schemegeneralized Riemann problemRiemann invariantRankine-Hugoniot jump conditionspherically symmetric general relativistic hydrodynamics

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Finite volume methods for boundary value problems involving PDEs (65N08)

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 ⋮ High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics ⋮ Runge-Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics ⋮ High-order accurate solutions of generalized Riemann problems of nonlinear hyperbolic balance laws ⋮ 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 ⋮ An efficient, second order accurate, universal generalized Riemann problem solver based on the HLLI Riemann solver ⋮ Minimum Principle on Specific Entropy and High-Order Accurate Invariant-Region-Preserving Numerical Methods for Relativistic Hydrodynamics ⋮ Implementation of the HLL-GRP solver for multidimensional ideal MHD simulations based on finite volume method

Uses Software

• GR1D

Cites Work

• Unnamed Item
• Unnamed Item
• Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics
• The generalized Riemann problems for compressible fluid flows: towards high order
• A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics
• The adaptive GRP scheme for compressible fluid flows over unstructured meshes
• A direct Eulerian GRP scheme for relativistic hydrodynamics: two-dimensional case
• Comparison of the generalized Riemann solver and the gas-kinetic scheme for inviscid compressible flow simulations
• A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case
• A second-order Godunov-type scheme for compressible fluid dynamics
• Implementation of the GRP scheme for computing radially symmetric compressible fluid flows
• An adaptive GRP scheme for compressible fluid flows
• A direct Eulerian GRP scheme for compressible fluid flows
• Numerical hydrodynamics and magnetohydrodynamics in general relativity
• Global solutions of the relativistic Euler equations
• Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem
• High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics
• Expanding wave solutions of the Einstein equations that induce an anomalous acceleration into the Standard Model of Cosmology
• The generalized Riemann problem method for the shallow water equations with bottom topography
• A new open-source code for spherically symmetric stellar collapse to neutron stars and black holes
• Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
• Accuracy of the Adaptive GRP Scheme and the Simulation of 2-D Riemann Problems for Compressible Euler Equations
• Generalized Riemann Problems in Computational Fluid Dynamics
• A Third-Order Accurate Direct Eulerian GRP Scheme for One-Dimensional Relativistic Hydrodynamics
• Simulation of general relativistic shock wave interactions by a locally inertial Godunov method featuring dynamical time dilation
• Relativistic Numerical Hydrodynamics
• Numerical hydrodynamics in special relativity

This page was built for publication: A Direct Eulerian GRP Scheme for Spherically Symmetric General Relativistic Hydrodynamics