Flux difference splittings and limiters for the resolution of contact discontinuities

DOI10.1016/0096-3003(94)90162-7zbMath0818.65087OpenAlexW2022015210WikidataQ126312553 ScholiaQ126312553MaRDI QIDQ1344013

Stephen F. Davis

Publication date: 15 August 1995

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90162-7

zbMATH Keywords

performancecontact discontinuitiessystems of conservation lawsRoe methodcompressive limiterflux difference splitting formulaesubcell resolution method

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Uses Software

• HLLE
• SHASTA

Cites Work

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• The behavior of flux difference splitting schemes near slowly moving shock waves
• High resolution schemes for hyperbolic conservation laws
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• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Simplified Second-Order Godunov-Type Methods
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• The artificial compression method for computation of shocks and contact discontinuities. I. Single conservation laws
• A contribution to the great Riemann solver debate
• Towards the ultimate conservative difference scheme I. The quest of monotonicity
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works