A new Roe-type scheme for all speeds

DOI10.1016/j.compfluid.2015.07.007zbMath1390.76686OpenAlexW895019781MaRDI QIDQ1645965

Di Sun, Chao Yan, Feng Qu, Zhen-Hua Jiang

Publication date: 22 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.compfluid.2015.07.007

zbMATH Keywords

computational fluid dynamicsRoeall speedslow speedsRoeMASshock anomaly

Mathematics Subject Classification ID

Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Supersonic flows (76J20)

Related Items (13)

A study of higher-order reconstruction methods for genuinely two-dimensional Riemann solver ⋮ Density enhancement mechanism of upwind schemes for low Mach number flows ⋮ A study on the behaviour of high-order flux reconstruction method with different low-dissipation numerical fluxes for large eddy simulation ⋮ A study of multidimensional fifth-order WENO method for genuinely two-dimensional Riemann solver ⋮ An improved Roe solver for high order reconstruction schemes ⋮ An accurate, robust and efficient convection-pressure flux splitting scheme for compressible Euler flows ⋮ A new all-speed flux scheme for the Euler equations ⋮ A new genuinely two-dimensional Riemann solver for multidimensional Euler and Navier-Stokes equations ⋮ A genuinely two-dimensional Riemann solver for compressible flows in curvilinear coordinates ⋮ Cures for expansion shock and shock instability of Roe scheme based on momentum interpolation mechanism ⋮ Improvement of the genuinely multidimensional ME-AUSMPW scheme for subsonic flows ⋮ Low-speed modification for the genuinely multidimensional Harten, Lax, van Leer and Einfeldt scheme in curvilinear coordinates ⋮ Low-Mach number treatment for finite-volume schemes on unstructured meshes

Cites Work

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• A new flux splitting scheme for the Euler equations
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• Efficient implementation of weighted ENO schemes
• On the behaviour of upwind schemes in the low Mach number limit
• Mechanism of Roe-type schemes for all-speed flows and its application
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. II: Multi-dimensional limiting process
• The momentum interpolation method based on the time-marching algorithm for all-speed flows
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• A contribution to the great Riemann solver debate
• Preconditioning applied to variable and constant density flows
• Numerical dissipation of upwind schemes in low Mach flow
• Numerical instabilities in upwind methods: Analysis and cures for the ``carbuncle phenomenon

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