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Parallel multilevel solution of Rayleigh‐Benard‐Marangoni problems

M.B. Davis (Mobile Technology Co, Dallas, Texas, USA)
G.F. Carey (The University of Texas at Austin, Austin, Texas, USA)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Publication date: 1 May 2000

Abstract

The Rayleigh‐Benard‐Marangoni problem for natural convection in a rectangular cavity with thermocapillary forces on a free surface is investigated using a stream function‐vorticity formulation. The nonlinear system is iteratively decoupled and high‐degree p finite elements are used for the discretization of the physical domain. The linear systems arising from the discretization at each iteration are solved using a spectral multilevel scheme, which is a natural preconditioner for high‐p (spectral) elements. The spectral multilevel solver lends itself to parallelization in an element‐by‐element (EBE) framework. Simulation results are presented and compared to previously published results. The multilevel efficiency is compared to previous results for the driven cavity problem. Parallel performance studies are presented for the Cray T3E distributed memory architecture.

Keywords

Citation

Davis, M.B. and Carey, G.F. (2000), "Parallel multilevel solution of Rayleigh‐Benard‐Marangoni problems", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 10 No. 3, pp. 248-268. https://doi.org/10.1108/09615530010317991

Publisher

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MCB UP Ltd

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