Stability and convergence analysis of implicit upwind schemes

DOI10.1016/S0045-7930(01)00038-XzbMath1032.76047OpenAlexW2061481180MaRDI QIDQ5953203

Charles L. Merkle, P. E. O. Buelow, Sankaran Venkateswaran

Publication date: 27 February 2002

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

Full work available at URL: https://doi.org/10.1016/s0045-7930(01)00038-x

zbMATH Keywords

Navier-Stokes equationsapproximate factorizationdiagonally dominant ADI schemesGauss-Seidel schemesgeneralized dual-time frameworkhigh-aspect ratio effectsmin-CFL time-step definitionmulti-sweep strategiesviscous preconditioning

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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• A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
• Upwind relaxation algorithms for the Navier-Stokes equations
• Effect of grid aspect ratio on convergence

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