Designing an efficient solution strategy for fluid flows. II: Stable high-order central finite difference schemes on composite adaptive grids with sharp shock resolution

DOI10.1006/jcph.1998.6056zbMath0938.76064OpenAlexW1998785731MaRDI QIDQ1285832

Pelle Olsson, Margot G. Gerritsen

Publication date: 2 May 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.6056

zbMATH Keywords

compressible Euler equationslocal grid adaptationscalar artificial viscositysemi-discrete energy methodstable high-order central finite difference schemestructured composite adaptive gridswavelet-based detection algorithm

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15)

Related Items

Nondissipative and energy-stable high-order finite-difference interface schemes for 2-D patch-refined grids ⋮ Nested Cartesian grid method in incompressible viscous fluid flow ⋮ Review of summation-by-parts schemes for initial-boundary-value problems ⋮ A low numerical dissipation patch-based adaptive mesh refinement method for large eddy simulation of compressible flows ⋮ A conservative finite volume method for incompressible Navier-Stokes equations on locally refined nested Cartesian grids ⋮ Entropy stable schemes for initial-boundary-value conservation laws ⋮ Third-order accurate entropy-stable schemes for initial-boundary-value conservation laws ⋮ A class of energy stable, high-order finite-difference interface schemes suitable for adaptive mesh refinement of hyperbolic problems ⋮ A stencil adaptive algorithm for finite difference solution of incompressible viscous flows ⋮ An energy-stable high-order central difference scheme for the two-dimensional shallow water equations ⋮ A fully discrete, kinetic energy consistent finite volume scheme for compressible flows ⋮ Direct numerical simulation of jets in cross-flow

Uses Software

• VLUGR3

Cites Work

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