Performances of upwind methods in predicting shear-like flows

DOI10.1016/S0045-7930(01)00071-8zbMath1022.76033MaRDI QIDQ1598037

R. Smith

Publication date: 20 October 2003

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

zbMATH Keywords

boundary layercompressible flowsartificial dissipationupwind methodsshear layerlinearised equations

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) Flow control and optimization for compressible fluids and gas dynamics (76N25)

Uses Software

• AUSM

Cites Work

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• 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
• A new flux splitting scheme
• Restoration of the contact surface in the HLL-Riemann solver
• Accurate flux vector splitting for shocks and shear layers
• An improvement of AUSM schemes by introducing the pressure-based weight functions
• A Contribution to the Numerical Prediction of Unsteady Flows
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• On Godunov-Type Methods for Gas Dynamics
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• An Accurate and Robust Flux Splitting Scheme for Shock and Contact Discontinuities
• Numerical instabilities in upwind methods: Analysis and cures for the ``carbuncle phenomenon

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