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COMPUTATION OF TRANSIENT BUOYANCY DRIVEN FLOWS USING A FINITE ELEMENT PROJECTION TECHNIQUE

DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.880
12 pages

R. L. Sani
Department Chemical Engineering, University of Colorado, Boulder, CO, USA

D. Veyret
Department Chemical Engineering, University of Colorado, Boulder, CO, USA

Abstract

The modeling of buoyancy driven flows is an important area from both a fundamental as well as applied standpoint. While there are numerous results and techniques in the literature for the two dimensional case there much fewer for the more complicated and oftentimes more interesting three dimensional case. This is especially true when considering a transient flow in a complex geometry. Here a projection technique is described and its Galerkin finite element implementation is detailed ([7]). Results are presented for both a complex transient as well as buoyancy driven flow; however, the scheme is designed for accurate transient simulations. While the two examples presented are of contained flows in simple geometries, the algorithm encompasses the capability of dealing with complex geometry in a relatively simple manner due to its finite element implementation.

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