Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics
From MaRDI portal
Publication:5159017
DOI10.4208/cicp.OA-2016-0192zbMath1488.76090arXiv1609.06792OpenAlexW2724140665MaRDI QIDQ5159017
Publication date: 26 October 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.06792
Runge-Kutta time discretizationrelativistic hydrodynamicsWENO limitercentral discontinuous Galerkin method
Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)
Related Items (8)
Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations ⋮ Second-order accurate BGK schemes for the special relativistic hydrodynamics with the Synge equation of state ⋮ Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields ⋮ Second-order accurate genuine BGK schemes for the ultra-relativistic flow simulations ⋮ An explicit modal discontinuous Galerkin method for Boltzmann transport equation under electronic nonequilibrium conditions ⋮ A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity ⋮ Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation ⋮ Optimal error estimates to smooth solutions of the central discontinuous Galerkin methods for nonlinear scalar conservation laws
Cites Work
- Unnamed Item
- Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics
- A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics
- Runge-Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics
- Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations
- A direct Eulerian GRP scheme for relativistic hydrodynamics: two-dimensional case
- Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
- A central discontinuous Galerkin method for Hamilton-Jacobi equations
- A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes
- 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 flux-split algorithm applied to relativistic flows
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Parallel, adaptive finite element methods for conservation laws
- Riemann solver for relativistic hydrodynamics
- A kinetic beam scheme for relativistic gas dynamics
- Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
- Kinetic schemes for the relativistic gas dynamics
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Runge-Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics
- Relativistic hydrodynamics and essentially non-oscillatory shock capturing schemes
- Analysis of the discontinuous Galerkin method for Hamilton-Jacobi equations
- High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics
- Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics
- An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods
- Limiters for high-order discontinuous Galerkin methods
- Central schemes on overlapping cells
- Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model
- A Runge-Kutta discontinuous Galerkin method for the Euler equations
- Operator bounds and time step conditions for the DG and central DG methods
- A Direct Eulerian GRP Scheme for Spherically Symmetric General Relativistic Hydrodynamics
- Central local discontinuous galerkin methods on overlapping cells for diffusion equations
- AN ANALYSIS OF THREE DIFFERENT FORMULATIONS OF THE DISCONTINUOUS GALERKIN METHOD FOR DIFFUSION EQUATIONS
- Review of numerical special relativistic hydrodynamics
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- L2stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- An Iterative Riemann Solver for Relativistic Hydrodynamics
- An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems
- An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics
- Runge-Kutta Discontinuous Galerkin Method Using Weno-Type Limiters: Three-Dimensional Unstructured Meshes
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows
- A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations
- A Third-Order Accurate Direct Eulerian GRP Scheme for One-Dimensional Relativistic Hydrodynamics
- Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction
- Steger-Warming flux vector splitting method for special relativistic hydrodynamics
- Numerical hydrodynamics in special relativity
This page was built for publication: Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics
