A novel solver for the generalized Riemann problem based on a simplified LeFloch-Raviart expansion and a local space-time discontinuous Galerkin formulation
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Publication:2014037
DOI10.1007/s10915-016-0218-5zbMath1368.65155OpenAlexW2391184536MaRDI QIDQ2014037
Michael Dumbser, Claus R. Goetz
Publication date: 10 August 2017
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-016-0218-5
Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (13)
Finite Volume Models and Efficient Simulation Tools (EST) for Shallow Flows ⋮ A cell-centered polynomial basis for efficient Galerkin predictors in the context of ADER finite volume schemes. the one-dimensional case ⋮ ADER methods for hyperbolic equations with a time-reconstruction solver for the generalized Riemann problem: the scalar case ⋮ An approximate Riemann solver for advection-diffusion based on the generalized Riemann problem ⋮ A simplified Cauchy-Kowalewskaya procedure for the local implicit solution of generalized Riemann problems of hyperbolic balance laws ⋮ Extension of the ENO-ET Reconstruction Scheme to Two Space Dimensions on Cartesian Meshes in Conjunction with the ADER Approach ⋮ AENO: a novel reconstruction method in conjunction with ADER schemes for hyperbolic equations ⋮ Multidimensional generalized Riemann problem solver for Maxwell's equations ⋮ ENO-ET: a reconstruction scheme based on extended ENO stencil and truncated highest-order term ⋮ Consistency of finite volume approximations to nonlinear hyperbolic balance laws ⋮ Second-order direct Eulerian GRP schemes for radiation hydrodynamical equations ⋮ An efficient, second order accurate, universal generalized Riemann problem solver based on the HLLI Riemann solver ⋮ A family of HLL-type solvers for the generalized Riemann problem
Uses Software
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