A finite-difference scheme for the solution of the steady Navier-Stokes equations

DOI10.1016/0045-7930(86)90023-XzbMath0599.76036MaRDI QIDQ1080724

Allen Plotkin, Renwei Mei

Publication date: 1986

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

zbMATH Keywords

convergencesquare cavityartificial diffusionsteady statedriven flowfinite- difference scheme of second-order accuracyGauss-Seidel type iterative processone-dimensional nonlinear Burgers equationover-relaxation for the convection and diffusion termssteady- state incompressible Navier-Stokes equationstransient approachvariable time step size

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite difference methods for boundary value problems involving PDEs (65N06) Basic methods in fluid mechanics (76M99)

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Cites Work

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• Interactive method for computation of viscous flow with recirculation
• Over-relaxation applied to the MacCormack finite-difference scheme
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Methods of solution of the velocity-vorticity formulation of the Navier-Stokes equations
• Steady flow through a channel with a symmetrical constriction in the form of a step
• Nonlinear multimode response of clamped rectangular plates to acoustic loading
• Numerical Solutions of the Compressible Navier-Stokes Equations for the Laminar Near Wake

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