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Numerical Solution of Stokes Equations with Pressure and Filtration Boundary Conditions

✍ Scribed by Peter J. Shopov; Yuriy I. Iordanov

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
599 KB
Volume
112
Category
Article
ISSN
0021-9991

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✦ Synopsis

A numerical algorithm is presented for two-dimensional Stokes equations (plane and axisymmetric case) with pressure and filtration boundary conditions. The numerical procedure is based on a divergence-free finite element method and is applicable to multiply connected domains. Comparisons between two types of finite elements are performed in order to choose the better one. The numerical method is tested on flows with known numerical and analytical solutions and on different grids. Stress boundary conditions are briefly discussed and compared with pressure ones. The influence of a closely placed outlet on the accuracy of numerical results is studied. Numerical examples are presented, including flow past a system of bodies in a channel, flows in branched channels with or without particles, and in channels of arbitrary shape with filtrating walls. Co 1994 Academic Press. Inc.

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