An approximate Riemann solver for advection-diffusion based on the generalized Riemann problem
From MaRDI portal
Publication:2665567
DOI10.1007/s42967-019-00048-3zbMath1476.65207OpenAlexW2981983399WikidataQ126975817 ScholiaQ126975817MaRDI QIDQ2665567
Claus-Dieter Munz, Steven Jöns
Publication date: 19 November 2021
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42967-019-00048-3
ADERadvection-diffusiongeneralized Riemann problemdiscontinuous Galerkinnumerical fluxrecovery methoddiffusive generalized Riemann problemspace-time solution
Viscous-inviscid interaction for compressible fluids and gas dynamics (76N17) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
Comparison of macro- and microscopic solutions of the Riemann problem. II: Two-phase shock tube, A spectral element method for modelling streamer discharges in low-temperature atmospheric-pressure plasmas, High-order enforcement of jumps conditions between compressible viscous phases: an extended interior penalty discontinuous Galerkin method for sharp interface simulation
Uses Software
Cites Work
- Unnamed Item
- Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors
- A second-order Godunov-type scheme for compressible fluid dynamics
- Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
- A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes
- An asymptotic expansion for the solution of the generalized Riemann problem. II: Application to the equation of gas dynamics
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magneto\-hydrodynamics
- Approximate Riemann solvers, parameter vectors, and difference schemes
- ADER schemes for three-dimensional non-linear hyperbolic systems
- An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory
- Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. I: General formulation.
- An efficient, second order accurate, universal generalized Riemann problem solver based on the HLLI Riemann solver
- A novel solver for the generalized Riemann problem based on a simplified LeFloch-Raviart expansion and a local space-time discontinuous Galerkin formulation
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension
- A discontinuous Galerkin scheme based on a space-time expansion. II: Viscous flow equations in multi dimensions
- Building blocks for arbitrary high order discontinuous Galerkin schemes
- A Numerical Method for Viscous Perturbations of Hyperbolic Conservation Laws
- An exact solution for Burger's equation
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- The Travelling Wave Scheme for The Navier--Stokes Equations
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Solution of the generalized Riemann problem for advection–reaction equations