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基于稀疏存儲(chǔ)的有限元結(jié)構(gòu)分析高效縮聚并行計(jì)算方法
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國(guó)家高技術(shù)研究發(fā)展計(jì)劃(863計(jì)劃)資助項(xiàng)目(2012AA01A307)和國(guó)家自然科學(xué)基金資助項(xiàng)目(11272214、51475287)


Efficient Condensation Parallel Computing Method for Finite Element Structural Analysis Based on Sparse Storage Scheme
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    摘要:

    基于稀疏存儲(chǔ)技術(shù)和直接稀疏求解器提出了一種有限元結(jié)構(gòu)分析高效縮聚并行計(jì)算方法。該方法將縮聚過程轉(zhuǎn)換為一系列線性方程組的求解過程,并通過直接稀疏求解器進(jìn)行求解。它能夠避免傳統(tǒng)變帶寬格式縮聚并行計(jì)算方法對(duì)帶寬內(nèi)大量零元素的存儲(chǔ)和運(yùn)算,從而大幅度節(jié)省內(nèi)存空間和有效減少計(jì)算量。最后通過發(fā)動(dòng)機(jī)曲軸的有限元數(shù)值仿真實(shí)驗(yàn)對(duì)算法的有效性進(jìn)行了驗(yàn)證。結(jié)果表明:相對(duì)傳統(tǒng)變帶寬格式縮聚并行計(jì)算方法,稀疏存儲(chǔ)格式縮聚并行計(jì)算方法能夠大幅度節(jié)省內(nèi)存空間和有效提高計(jì)算效率;各子區(qū)域規(guī)模越大,該方法對(duì)內(nèi)存空間的節(jié)省和計(jì)算效率的提高效果就越明顯。

    Abstract:

    An efficient condensation parallel computing method for finite element structural analysis was proposed based on the sparse storage techniques and direct sparse solvers. In the proposed method, the process of condensation was converted to the process of solving a series of linear equations, and then the linear equations were solved with a direct sparse solver. It can avoid the storage and computation of many zero elements within the bandwidth in the traditional parallel computing method with variable bandwidth format condensation. Therefore, the memory space can be greatly saved and the amount of computation can be effectively reduced. Finally, the experiment of the finite element numerical simulation for an engine crankshaft was used to validate the proposed method. Test results showed that, compared with the conventional parallel computing method with variable bandwidth format condensations, the proposed parallel computing approach with sparse storage format condensation could considerably save memory space and significantly improve computational efficiency. The larger the size of each subdomain, the effect of the proposed method on aspects of saving memory space and improving computational efficiency was more obvious. The proposed method can be applied to many industrial areas such as aerospace, automobile, energy, civil and architecture to significantly improve the efficiency of engineering design and analysis.

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苗新強(qiáng),金先龍,丁峻宏.基于稀疏存儲(chǔ)的有限元結(jié)構(gòu)分析高效縮聚并行計(jì)算方法[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2015,46(4):338-343. Miao Xinqiang, Jin Xianlong, Ding Junhong. Efficient Condensation Parallel Computing Method for Finite Element Structural Analysis Based on Sparse Storage Scheme[J]. Transactions of the Chinese Society for Agricultural Machinery,2015,46(4):338-343.

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  • 收稿日期:2014-05-03
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  • 在線發(fā)布日期: 2015-04-10
  • 出版日期: 2015-04-10
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