Parallel multilevel solution of Rayleigh‐Benard‐Marangoni problems-Reference-Cited by-同舟云学术

Parallel multilevel solution of Rayleigh‐Benard‐Marangoni problems

Published:2000-05-01 Issue:3 Volume:10 Page:248-268
ISSN:0961-5539
Container-title:International Journal of Numerical Methods for Heat & Fluid Flow
language:en
Short-container-title:

Author:

Davis M.B.,Carey G.F.

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.

Publisher

Emerald

Subject

Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference17 articles.

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