Positivity-preserving flux-limited method for compressible fluid flow

DOI10.1016/j.compfluid.2011.01.012zbMath1271.76216OpenAlexW1978437111MaRDI QIDQ365304

Bernard Parent

Publication date: 4 September 2013

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0045793011000193

zbMATH Keywords

monotonicityflux limitersflux vector splittinghypersonic flowcompressible fluidpositivity preservationSteger-Warming scheme

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) 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)

Related Items

Positivity-preserving dual time stepping schemes for gas dynamics, Positivity-preserving flux difference splitting schemes, Positivity-preserving high-resolution schemes for systems of conservation laws, Towards positivity preservation for monolithic two-way solid-fluid coupling

Uses Software

• HLLE

Cites Work

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• On Godunov-type methods near low densities
• Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Positivity of flux vector splitting schemes
• Positivity property of second-order flux-splitting schemes for the compressible Euler equations
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Computational Gasdynamics