A treatment of discontinuities for finite difference methods in the two- dimensional case

DOI10.1006/jcph.1993.1038zbMath0781.65077OpenAlexW2038519088MaRDI QIDQ1209861

De-Kang Mao

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1006/jcph.1993.1038

zbMATH Keywords

algorithmconservation lawspredictor-corrector methodCauchy problemsdiscontinuitygas dynamicsTVD schemeshock wave diffraction

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (9)

A local space-time discontinuous finite element method ⋮ The total variation decreasing property of a conservative front tracking technique ⋮ High-resolution algorithms of sharp interface treatment for compressible two-phase flows ⋮ A Riemann problem based method for the resolution of compressible multimaterial flows ⋮ A thermodynamically consistent and fully conservative treatment of contact discontinuities for compressible multicomponent flows ⋮ Towards front-tracking based on conservation in two space dimensions. II: Tracking discontinuities in capturing fashion ⋮ A level-set algorithm for tracking discontinuities in hyperbolic conservation laws. I: Scalar equations ⋮ A treatment of discontinuities for nonlinear systems with linearly degenerate fields ⋮ A front tracking method on unstructured grids.

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