Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations

DOI10.1016/j.camwa.2022.02.019OpenAlexW4220723145MaRDI QIDQ2122613

Deepak Bhoriya, Biswarup Biswas, Harish Kumar

Publication date: 7 April 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.02.019

zbMATH Keywords

hyperbolic conservation lawsentropy stabilityspecial relativistic hydrodynamicsdiscontinuous Galerkin scheme

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (3)

Entropy stable discontinuous Galerkin schemes for two-fluid relativistic plasma flow equations ⋮ High-order finite-difference entropy stable schemes for two-fluid relativistic plasma flow equations ⋮ High-order accurate entropy stable schemes for relativistic hydrodynamics with general Synge-type equation of state

Uses Software

• WHAM
• RAM
• XTROEM-FV

Cites Work

• A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations
• Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
• Numerical hydrodynamics and magnetohydrodynamics in general relativity
• High resolution schemes for hyperbolic conservation laws
• The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
• Entropy stable schemes for ten-moment Gaussian closure equations
• Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
• Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes
• 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
• Efficient implementation of weighted ENO schemes
• Entropy stable numerical schemes for two-fluid plasma equations
• High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics
• High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics
• Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations
• Entropy-stable schemes for relativistic hydrodynamics equations
• High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics
• Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics
• Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes
• Strong Stability-Preserving High-Order Time Discretization Methods
• A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
• Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
• The local projection $P^0-P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
• The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• The analytical solution of the Riemann problem in relativistic hydrodynamics
• An Iterative Riemann Solver for Relativistic Hydrodynamics
• Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
• An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics
• Relativistic Fluids and Magneto-fluids
• An efficient shock-capturing central-type scheme for multidimensional relativistic flows
• Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics
• Global Ill‐Posedness of the Isentropic System of Gas Dynamics
• Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
• Numerical hydrodynamics in special relativity
• Unnamed Item
• Unnamed Item

This page was built for publication: Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations