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An alternative Galerkin formulation for streamline problems

✍ Scribed by Carneiro De Araújo, J. H. ;Frey, S. ;Martins-Costa, M. L.

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
107 KB
Volume
15
Category
Article
ISSN
1069-8299

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✦ Synopsis

An accurate numerical visualization for streamlines of ¯uid ¯ows is a fundamental tool in computational ¯uid dynamics. However, the standard ®nite element formulation to compute streamlines suers from the disadvantage of requiring the determination of boundary integrals. This shortcoming requires the implementation of two distinct mappings in the ®nite element code, one for the interior domain employing two-dimensional elements and another with one-dimensional elements to approximate the boundary domain. In this article we introduce an ecient way to determine the streamlines for the above-mentioned ¯ows, which does not need the computation of contour integrals. In order to illustrate the good performance of the alternative formulation proposed, we capture the streamlines of two classical viscous models: Stokes and Navier±Stokes ¯ows.

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