A TVD finite difference scheme with non-uniform meshes and without upstream weighting

DOI10.1016/0898-1221(91)90069-GzbMath0732.76056MaRDI QIDQ809811

P. Glaister

Publication date: 1991

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

finite difference schemeEuler equationsTVDnon-uniform meshesscalar conservation lawsupstream weighting

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Incompressible inviscid fluids (76B99)

Cites Work

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• A non-uniform mesh scheme for compressible flow
• High resolution schemes for hyperbolic conservation laws
• Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
• An approximate linearised Riemann solver for the Euler equations for real gases
• A Simplified TVD Finite Difference Scheme via Artificial Viscosity
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Systems of conservation laws
• A Method for the Numerical Calculation of Hydrodynamic Shocks

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