Numerical investigation of the wave-front tracking algorithm for the full ultra-relativistic Euler equations

DOI10.1515/ijnsns-2017-0121zbMath1401.35212OpenAlexW2789241281MaRDI QIDQ1662843

Mahmoud A. E. Abdelrahman

Publication date: 20 August 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2017-0121

zbMATH Keywords

conservation lawsshock wavesfront trackingGodunov schemerelativistic Euler equationsnon-entropy shockscone grid scheme

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Initial value problems for first-order hyperbolic systems (35L45) Euler equations (35Q31)

Related Items

The modified Rusanov scheme for solving the ultra-relativistic Euler equations

Uses Software

• HE-E1GODF

Cites Work

• Unnamed Item
• A new front tracking scheme for the ultra-relativistic Euler equations
• An improved front tracking method for the Euler equations
• A front tracking method for conservation laws in one dimension
• Global solutions of systems of conservation laws by wave-front tracking
• Global existence of solutions to nonlinear hyperbolic systems of conservation laws
• Global solutions of the relativistic Euler equations
• On the front-tracking algorithm
• Kinetic schemes for the ultra-relativistic Euler equations.
• The interaction of waves for the ultra-relativistic Euler equations
• Global solutions for the ultra-relativistic Euler equations
• Polygonal approximations of solutions of the initial value problem for a conservation law
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• A Front-Tracking Alternative to the Random Choice Method
• The ultra‐relativistic Euler equations