Large Time Step TVD Schemes for Hyperbolic Conservation Laws

DOI10.1137/15M104935XzbMath1348.65117arXiv1511.07027OpenAlexW2963696245MaRDI QIDQ2821790

Tore Flåtten, Anders Aase Solberg, Sofia Lindqvist, Peder Aursand

Publication date: 23 September 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07027

zbMATH Keywords

numerical examplefinite difference methodBurgers equationhyperbolic conservation lawslarge time stepLax-Friedrichs schemeEuler systemnumerical viscositytotal variation diminishingnumerical entropyRoe linearizationRoe upwindingtransonic rarefactions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (8)

High-resolution large time-step schemes for inviscid fluid flow ⋮ Second-order large time step wave adding scheme for hyperbolic conservation laws ⋮ Large time step HLL and HLLC schemes ⋮ A class of non-oscillatory direct-space-time schemes for hyperbolic conservation laws ⋮ Large time step roe scheme for a common 1D two-fluid model ⋮ A large time step explicit scheme (\(\mathrm{CFL}>1\)) on unstructured grids for 2D conservation laws: application to the homogeneous shallow water equations ⋮ Large time step wave adding scheme for systems of hyperbolic conservation laws ⋮ Godunov-type large time step scheme for shallow water equations with bed-slope source term

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