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Numerical solution of the incompressible Navier–Stokes equations with an upwind compact difference scheme

✍ Scribed by Ma Yanwen; Fu Dexun; T. Kobayashi; N. Taniguchi

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
267 KB
Volume
30
Category
Article
ISSN
0271-2091

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✦ Synopsis

A new finite difference method for the discretization of the incompressible Navier -Stokes equations is presented. The scheme is constructed on a staggered-mesh grid system. The convection terms are discretized with a fifth-order-accurate upwind compact difference approximation, the viscous terms are discretized with a sixth-order symmetrical compact difference approximation, the continuity equation and the pressure gradient in the momentum equations are discretized with a fourth-order difference approximation on a cell-centered mesh. Time advancement uses a three-stage Runge -Kutta method. The Poisson equation for computing the pressure is solved with preconditioning. Accuracy analysis shows that the new method has high resolving efficiency. Validation of the method by computation of Taylor's vortex array is presented.

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