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Normal flow boundary conditions in 3D circulation models

โœ Scribed by Daniel R. Lynch; Monica J. Holboke


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
686 KB
Volume
25
Category
Article
ISSN
0271-2091

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โœฆ Synopsis


The problem of enforcing normal transport conditions on 3D velocity ยฎelds is considered in the context of `wave equation' ยฎnite element models. A procedure for strong enforcement of the transport constraint is given. The procedure is identical for Neumann (transport known) and Dirichlet (pressure known) problems, which are treated reversibly. All local mass and force balance relations are retained in the FEM system. A global mass conservation property is proven for the general 3D, discrete-time case. Examples demonstrate the quality of the solutions and the practicality of the approach.


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Junction between a 3-D Stokes flow and a
โœ G. Bayada; M. Chambat ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 830 KB

## Abstract A 3โ€D Stokes equation modelling the flow in the inlet region of a lubricated device is studied. Boundary conditions on both the pressure and the velocity are considered. The geometry induces that the flow region is divided into two parts: the first one is a thin gap with height ฯต__h__,