A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes

DOI10.1016/j.jcp.2007.04.032zbMath1124.65072arXivphysics/0411160OpenAlexW1980969840MaRDI QIDQ2456709

Claus-Dieter Munz, Michael Dumbser, Dinshaw S. Balsara, Christoph Altmann

Publication date: 19 October 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0411160

zbMATH Keywords

conservation lawsnumerical examplesshocksweighted essentially non-oscillatoryhigher order schemesparallel adaptive mesh refinementmonotonicity preserving strategyRunge-Kutta discontinuous Galerkin (RKDG) schemestotal variation bounded limiterstotal variation diminishing limiters

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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