Start‐up flow in a three‐dimensional lid‐driven cavity by means of a massively parallel direction splitting algorithm
Start‐up flow in a three‐dimensional lid‐driven cavity by means of a massively parallel direction splitting algorithm
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DOI：
10.1002/fld.2583
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发表时间：
2012-03
影响因子：
1.8
通讯作者：
J. Guermond;P. Minev
中科院分区：
文献类型：
--
作者：
J. Guermond;P. Minev
本文的目的是验证一种新的高度并行化的方向分裂算法。给出了雷诺数分别为1000和5000、长宽比为1×1×2的三维脉冲启动盖子驱动空腔内启动流动的高精度解，说明了该算法的并行化能力。这些计算是在三维空间维度中多达20亿个节点的自适应网格上并行完成的(多达1024个处理器)。速度分布在无量纲时间t=4、8和12时给出；预计在Re=1000时至少有四位数是正确的。版权所有©2011 John Wiley&Sons，Ltd.
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. Copyright © 2011 John Wiley & Sons, Ltd.