Application of a discontinuous Galerkin finite element method to special relativistic hydrodynamic models
DOI10.1016/j.camwa.2013.02.021zbMath1319.76064OpenAlexW1991294585MaRDI QIDQ493511
Publication date: 3 September 2015
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2013.02.021
conservation lawsdiscontinuous Galerkin methoddiscontinuous solutionsspecial relativistic hydrodynamicsRungeKutta method
Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)
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Cites Work
- Unnamed Item
- Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
- Non-oscillatory central differencing for hyperbolic conservation laws
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- New algorithms for ultra-relativistic numerical hydrodynamics
- A kinetic beam scheme for relativistic gas dynamics
- Kinetic schemes for the relativistic gas dynamics
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Hyperbolic conservation laws with space-dependent fluxes: II. General study of numerical fluxes
- Kinetic schemes for the ultra-relativistic Euler equations.
- Extension of the piecewise parabolic method to one-dimensional relativistic hydrodynamics
- Capturing shock reflections: An improved flux formula
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- A HIGH ORDER KINETIC FLUX-SPLITTING METHOD FOR THE SPECIAL RELATIVISTIC HYDRODYNAMICS
- Total-Variation-Diminishing Time Discretizations
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Total variation diminishing Runge-Kutta schemes
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- A BGK-Type Flux-Vector Splitting Scheme for the Ultrarelativistic Euler Equations
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows
- Numerical hydrodynamics in special relativity
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