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Petrov-Galerkin methods on multiply connected domains for the vorticity-stream function formulation of the incompressible Navier-Stokes equations

✍ Scribed by T. E. Tezduyar; R. Glowinski; J. Liou

Publisher: John Wiley and Sons
Year: 1988
Tongue: English
Weight: 1019 KB
Volume: 8
Category: Article
ISSN: 0271-2091
DOI: 10.1002/fld.1650081012

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✦ Synopsis

In this paper we present streamline-upwind/Petrov-Galerkin finite element procedures for two-dimensional fluid dynamics computations based on the vorticity-stream function formulation of the incompressible Navier-Stokes equations. We address the difficulties associated with the convection term in the vorticity transport equation, lack of boundary condition for the vorticity at no-slip boundaries, and determination of the value of the stream function at the internal boundaries for multiply connected domains. The proposed techniques, implemented within the framework of block-iteration methods, have successfully been applied to various problems involving simply and multiply connected domains.

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