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Development of Numerical Algorithm for Multi-Phase Flow by Distributed Computer

分布式计算机多相流数值算法的开发

基本信息

批准号：
11650166
负责人：
YABE Takashi
金额：
$ 2.37万
依托单位：
TOKYO INSTITUTE OF TECHNOLOGY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1999
资助国家：
日本
起止时间：
1999 至 2000
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11650166/
关键词：
Multi-Phase Flow Parallel Computation Numerical Method PC Clusters Distributed Memory Fluid Dynamics CIP Method Pressure Equation

项目摘要

We have develped the numerical scheme, CIP method, which is able to solve solid, fluid and gassimultaneously. By this method, the boundary of multiphase flow can be captured with the fixed mesh. Most importantly, gas and fluid that have completely different playsical properties can be calculated simultaneously.Since the performance of computation is limited when only one CPU of computer is used, parallel and distributed computers becomes mainstream at present. In accordance with this trend, we need to look for the scheme that is appropriate for parallel calculation. The purpose of this research is to establish the best numerical scheme for multiphase flow.Since parallel algorithm can be readily applied to the advection phase of the CIP, we constructed PC clusters, and established at first the parallel scheme of only advection phase. Thus, 3 GFLOPS has been realized with 24 PCs. Since one PC has the performance in 100MFLOPS, we were able to achieve a speed in the range of "super linear".Nextly, we considered the parallel scheme to solve pressure equation. As one of them, we tried the SOR method with the Red-Black method. We confirmed that the calculation speed with 24 PCs increases almost in proportion to the number of PC as well. This performance is similar for SSI (Symmetrical Semi Implicit) scheme we planed to use, and the SOR method with the Red-Black method is faster in view of convergence. With this method, we succeeded to calculate three-dimensional multiphase fluid with 24 CPUs.

我们发展了一种能求解固体、流体和气体的数值格式-CIP方法。该方法可以在固定网格下捕捉多相流的边界。最重要的是，具有完全不同物性的气体和流体可以同时进行计算，由于单CPU计算机的计算性能有限，并行和分布式计算机成为目前的主流。根据这一趋势，我们需要寻找适合并行计算的方案。本研究的目的是建立多相流的最佳数值格式，由于并行算法可以很容易地应用于CIP的平流相，我们构造了PC集群，首先建立了对流相的并行格式。因此，用24台PC实现了3 GFLOPS。由于一台PC机的性能达到100 MFLOPS，我们可以实现“超线性”范围内的速度。作为其中之一，我们尝试了SOR方法与Red-Black方法。我们证实，24台PC的计算速度几乎与PC的数量成正比。这种性能与我们计划使用的SSI（对称半隐式）格式相似，而从收敛性来看，采用Red-Black方法的SOR方法更快。利用该方法，在24个CPU上成功地实现了三维多相流的计算。