A new flux splitting scheme based on Toro-Vazquez and HLL schemes for the Euler equations

DOI10.1155/2014/827034zbMath1318.76014OpenAlexW2073757140WikidataQ59051878 ScholiaQ59051878MaRDI QIDQ2353839

Pascalin Tiam Kapen, Tchuen Ghislain

Publication date: 9 July 2015

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

Full work available at URL: https://doi.org/10.1155/2014/827034

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Euler equations (35Q31)

Related Items (9)

A genuinely multidimensional convective pressure flux split Riemann solver for Euler equations ⋮ Exploring various flux vector splittings for the magnetohydrodynamic system ⋮ An extension of the TV-HLL scheme for multi-dimensional compressible flows ⋮ A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations ⋮ A low Mach number IMEX flux splitting for the level set ghost fluid method ⋮ An upwind CESE scheme for 2D and 3D MHD numerical simulation in general curvilinear coordinates ⋮ Semi-implicit Two-Speed Well-Balanced Relaxation Scheme for Ripa Model ⋮ A robust rotated-hybrid Riemann scheme for multidimensional inviscid compressible flows ⋮ TV-HLL solver for one-dimensional fluid flow inside elastic vessels

Uses Software

• AUSM
• HLLE
• AUSMPW+

Cites Work

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• A conservative interface method for compressible flows
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• A new flux splitting scheme
• A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
• A low-diffusion flux-splitting scheme for Navier-Stokes calculations
• An interface interaction method for compressible multifluids
• An improvement of AUSM schemes by introducing the pressure-based weight functions
• Flux splitting schemes for the Euler equations
• A sequel to AUSM II: AUSM\(^+\)-up for all speeds
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• On Godunov-Type Methods for Gas Dynamics
• Simplified Second-Order Godunov-Type Methods
• A contribution to the great Riemann solver debate
• Computations of compressible multifluids.
• Methods for the accurate computations of hypersonic flows. I: AUSMPW+scheme

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