A novel solver for the generalized Riemann problem based on a simplified LeFloch-Raviart expansion and a local space-time discontinuous Galerkin formulation
type: Item
instance of: scholarly article
title: A novel solver for the generalized Riemann problem based on a simplified LeFloch-Raviart expansion and a local space-time discontinuous Galerkin formulation
zbMATH Open document ID: 1368.65155
author: Claus R. Goetz
author: Michael Dumbser
published in: Journal of Scientific Computing
publication date: 2017-08-10T00:00:00Z
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 6759224
zbMATH Keywords: hyperbolic conservation laws
zbMATH Keywords: generalized Riemann problems
zbMATH Keywords: ADER methods
describes a project that uses: ECHO
MaRDI profile type: Publication
full work available at URL: s10915-016-0218-5
OpenAlex ID: W2391184536
cites work: Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
cites work: Exact and approximate solutions of Riemann problems in nonlinear elasticity
cites work: A second-order Godunov-type scheme for compressible fluid dynamics
cites work: An asymptotic expansion for the solution of the generalized Riemann problem. II: Application to the equation of gas dynamics
cites work: Q4490854
cites work: Solvers for the high-order Riemann problem for hyperbolic balance laws
cites work: A staggered discontinuous Galerkin method for the convection-diffusion equation
cites work: The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
cites work: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
cites work: The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
cites work: The piecewise parabolic method (PPM) for gas-dynamical simulations
cites work: An efficient shock-capturing central-type scheme for multidimensional relativistic flows
cites work: A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
cites work: A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations
cites work: Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
cites work: Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
cites work: Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations
cites work: On Godunov-Type Methods for Gas Dynamics
cites work: On Godunov-type methods near low densities
cites work: An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory
cites work: Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms
cites work: Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors
cites work: A discontinuous Galerkin scheme based on a space-time expansion. II: Viscous flow equations in multi dimensions
cites work: The exact solution of the Riemann problem in relativistic magnetohydrodynamics
cites work: Q4331672
cites work: Approximate solutions of generalized Riemann problems for nonlinear systems of hyperbolic conservation laws
cites work: A Convergent Series Expansion for Hyperbolic Systems of Conservation Laws
cites work: Uniformly high order accurate essentially non-oscillatory schemes. III
cites work: ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations
cites work: Efficient implementation of weighted ENO schemes
cites work: Hyperbolic systems of conservation laws II
cites work: Weak solutions of nonlinear hyperbolic equations and their numerical computation
cites work: Q3762928
cites work: Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction
cites work: A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension
cites work: The generalized Riemann problems for compressible fluid flows: towards high order
cites work: An improved exact Riemann solver for relativistic hydrodynamics
cites work: Approximate Riemann solvers, parameter vectors, and difference schemes
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
cites work: Global propagation of regular nonlinear hyperbolic waves
cites work: A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations
cites work: A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes
cites work: ADER: Arbitrary high-order Godunov approach
cites work: MUSTA-type upwind fluxes for non-linear elasticity
cites work: ADER schemes for three-dimensional non-linear hyperbolic systems
cites work: Solution of the generalized Riemann problem for advection–reaction equations
cites work: Derivative Riemann solvers for systems of conservation laws and ader methods
cites work: Q4255380
cites work: Shock-capturing methods for free-surface shallow flows
cites work: Restoration of the contact surface in the HLL-Riemann solver
cites work: TVD fluxes for the high-order ADER schemes
cites work: Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
DOI: 10.1007/S10915-016-0218-5
description: scientific article; zbMATH DE number 6759224