An efficient implementation of flux formulae in multidimensional relativistic hydrodynamical codes

DOI10.1016/S0010-4655(99)00236-2zbMath1002.83018arXivastro-ph/9904195WikidataQ63644495 ScholiaQ63644495MaRDI QIDQ1613830

J. A. Pons, J. Maria Ibáñez, M. A. Aloy

Publication date: 2 September 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/astro-ph/9904195

zbMATH Keywords

general relativistic hydrodynamicsspecial relativistic hydrodynamicsnonlinear systems of conservation lawshigh resolution shockcapturing methods

Mathematics Subject Classification ID

Special relativity (83A05) Equations of motion in general relativity and gravitational theory (83C10) Computational methods for problems pertaining to relativity and gravitational theory (83-08)

Related Items (2)

Numerical Simulations of Black Hole Formation ⋮ Numerical hydrodynamics and magnetohydrodynamics in general relativity

Cites Work

• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A flux-split algorithm applied to relativistic flows
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• On Godunov-Type Methods for Gas Dynamics
• The analytical solution of the Riemann problem in relativistic hydrodynamics
• Local Piecewise Hyperbolic Reconstruction of Numerical Fluxes for Nonlinear Scalar Conservation Laws

This page was built for publication: An efficient implementation of flux formulae in multidimensional relativistic hydrodynamical codes