An extension of the TV-HLL scheme for multi-dimensional compressible flows

DOI10.1080/10618562.2015.1059933OpenAlexW2247976843MaRDI QIDQ5072566

Ghislain Tchuen, Pascalin Tiam Kapen

Publication date: 29 April 2022

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618562.2015.1059933

zbMATH Keywords

accuracyRiemann problemgas dynamicssimplicityHLLTV-HLLpressure systemToro-Vazquez splitting

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items

Density enhancement mechanism of upwind schemes for low Mach number flows ⋮ A robust and contact preserving flux splitting scheme for compressible flows ⋮ 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

• A sequel to AUSM: AUSM\(^ +\)
• Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A new flux splitting scheme
• A low-diffusion flux-splitting scheme for Navier-Stokes calculations
• Cures for the shock instability: Development of a shock-stable Roe scheme.
• An improvement of AUSM schemes by introducing the pressure-based weight functions
• A new flux splitting scheme based on Toro-Vazquez and HLL schemes for the Euler equations
• 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
• Numerical instabilities in upwind methods: Analysis and cures for the ``carbuncle phenomenon
• Methods for the accurate computations of hypersonic flows. I: AUSMPW+scheme