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Numerical solution of the steady incompressible Navier—Stokes equations for the flow past a sphere by a multigrid defect correction technique

✍ Scribed by Gh. Juncu; R. Mihail

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
723 KB
Volume
11
Category
Article
ISSN
0271-2091

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✦ Synopsis

Abstract

A nested non‐linear multigrid algorithm is developed to solve the Navier–Stokes equations which describe the steady incompressible flow past a sphere. The vorticity–streamfunction formulation of the Navier–Stokes equations is chosen. The continuous operators are discretized by an upwind finite difference scheme. Several algorithms are tested as smoothing steps. The multigrid method itself provides only a first‐order‐accurate solution. To obtain at least second‐order accuracy, a defect correction iteration is used as outer iteration. Results are reported for Re = 50, 100, 400 and 1000.

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