Upwind differencing, false scaling, and nonphysical solutions to the driven cavity problem

DOI10.1016/0021-9991(82)90082-1zbMath0493.76028OpenAlexW2084203668MaRDI QIDQ1168831

John C. Strikwerda

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9991(82)90082-1

zbMATH Keywords

artificial viscositydriven cavity problemmulti-dimensionalupwind finite differencenatural length scales

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Basic methods in fluid mechanics (76M99)

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A bounded upwinding scheme for computing convection-dominated transport problems ⋮ Bifurcation in steady laminar mixed convection flow in horizontal ducts ⋮ A deferred-correction multigrid algorithm based on a new smoother for the Navier-Stokes equations ⋮ Hydrodynamics and heat transfer associated with condensation on a moving drop: solutions for intermediate Reynolds numbers

Cites Work

• Review of computing methods for recirculating flows
• Development of a second order approximation for the Navier-Stokes equations
• An evaluation of upwind and central difference approximations by a study of recirculating flow
• Numerical study of viscous flow in a cavity
• On the use of central difference scheme for Navier-Strokes equations
• Numerical Integration Procedure for the Steady State Navier-Stokes Equations

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