A Shock Tracking Technique Based on Conservation in One Space Dimension

DOI10.1137/0732075zbMath0836.65098OpenAlexW2072711777MaRDI QIDQ4857629

De-Kang Mao

Publication date: 29 April 1996

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

Full work available at URL: http://hdl.handle.net/20.500.11850/145747

zbMATH Keywords

conservation lawsRankine-Hugoniot conditionsshock tracking technique

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (6)

Direct numerical simulation of interfacial instabilities: A consistent, conservative, all-speed, sharp-interface method ⋮ Towards front-tracking based on conservation in two space dimensions. II: Tracking discontinuities in capturing fashion ⋮ Dealing with movings and collisions of arbitrary many discontinuities in conservative front-tracking method ⋮ The simulation of compressible multi-medium flow. I: A new methodology with test applications to 1D gas-gas and gas-water cases. II: Applications to 2D underwater shock refraction ⋮ Further development of a conservative front-tracking method for systems of conservation laws in one space dimension ⋮ Discontinuity-driven mesh alignment for evolving discontinuities in elastic solids

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