Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm

Type
Article

Authors
Guermond, J. L.
Minev, P. D.

KAUST Grant Number
KUS-C1-016-04

Online Publication Date
2011-05-04

Print Publication Date
2012-03-10

Date
2011-05-04

Abstract
The purpose of this paper is to validate a new highly parallelizable direction splitting algorithm. The parallelization capabilities of this algorithm are illustrated by providing a highly accurate solution for the start-up flow in a three-dimensional impulsively started lid-driven cavity of aspect ratio 1×1×2 at Reynolds numbers 1000 and 5000. The computations are done in parallel (up to 1024 processors) on adapted grids of up to 2 billion nodes in three space dimensions. Velocity profiles are given at dimensionless times t=4, 8, and 12; at least four digits are expected to be correct at Re=1000. © 2011 John Wiley & Sons, Ltd.

Citation
Guermond JL, Minev PD (2011) Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm. Int J Numer Meth Fluids 68: 856–871. Available: http://dx.doi.org/10.1002/fld.2583.

Acknowledgements
This material is based upon a work supported by the National Science Foundation grants DMS-0713829. This publication is also partially based on a work supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology. The work of P. Minev is also supported by fellowships from the Institute of Applied Mathematics and Computational Science, the Institute of Scientific Computing at Texas A&M University, and a Discovery grant of NSERC.

Publisher
Wiley

Journal
International Journal for Numerical Methods in Fluids

DOI
10.1002/fld.2583

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