Positivity of flux vector splitting schemes

DOI10.1006/jcph.1999.6337zbMath0953.76064OpenAlexW1966239316MaRDI QIDQ1819066

Philippe Villedieu, Jean-Marc Moschetta, Jérémie Gressier

Publication date: 25 January 2001

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

Full work available at URL: https://doi.org/10.1006/jcph.1999.6337

zbMATH Keywords

stabilityconvergencepositivityflux vector splitting schemesconservative Euler equationsresolution of contact discontinuities

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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Uses Software

• AUSM
• HLLE

Cites Work

• A sequel to AUSM: AUSM\(^ +\)
• On Godunov-type methods near low densities
• Direct simulation methods for compressible inviscid ideal-gas flow
• Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
• Approximate Riemann solvers, parameter vectors, and difference schemes
• On a mistaken notion of ``proper upwinding
• How to preserve the mass fractions positivity when computing compressible multi-component flows
• Boltzmann Type Schemes for Gas Dynamics and the Entropy Property
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• High-Order Positivity-Preserving Kinetic Schemes for the Compressible Euler Equations
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