Massively parallel least squares finite element method with graphic processing unit

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Pubblicato in:Advances in Mechanical Engineering vol. 9, no. 11 (Nov 2017)
Autore principale: Li, Qiliang
Altri autori: Zhong Liyuan, Dai Wentong, Yang, Zhigang, Sun, Chenyang
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Sage Publications Ltd.
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022 |a 1687-8132 
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024 7 |a 10.1177/1687814017734708  |2 doi 
035 |a 1977720699 
045 2 |b d20171101  |b d20171130 
084 |a 130223  |2 nlm 
100 1 |a Li, Qiliang  |u Shanghai Automotive Wind Tunnel Center, Tongji University, Shanghai, China; Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Shanghai, China 
245 1 |a Massively parallel least squares finite element method with graphic processing unit 
260 |b Sage Publications Ltd.  |c Nov 2017 
513 |a Journal Article 
520 3 |a For the reason of enormous computational expense, although the least squares finite element method has the advantages of high accuracy, robustness and strong versatility, the application of it is limited in computational fluid dynamics. The problems solved in this article include the rewriting of branching statements and the kernel function, variable distribution and data transfer between graphic processing units, and library functions rewriting. To the best knowledge of the authors, this article is the first time to develop the parallel computing codes for single and multiple graphic processing units based on the least squares finite element method. The computational results of single and multiple graphic processing units are verified by lid-driven cavity flow. Compared with a single central processing unit on the condition of 1203 grids, the acceleration ratios of single and dual graphic processing units are up to 70.5 times and 95.2 times, respectively, which is much higher than the previous value of 7.7. With the increase in the grid number, the acceleration ratio of single and multiple graphic processing units is expected to increase, which can greatly enhance the computational efficiency of the least squares finite element method. Therefore, it is possible to solve the massive turbulence computing by the least squares finite element method with higher efficiency. 
653 |a Finite element method 
653 |a Data transfer (computers) 
653 |a Finite volume method 
653 |a Mathematical analysis 
653 |a Fluid dynamics 
653 |a Fluid-structure interaction 
653 |a Turbulence 
653 |a Nonlinear programming 
653 |a Fluid flow 
653 |a Least squares method 
653 |a Researchers 
653 |a Acceleration 
653 |a Codes 
653 |a Finite element analysis 
653 |a Computational fluid dynamics 
653 |a Robustness (mathematics) 
653 |a Cavity flow 
653 |a Kernel functions 
653 |a Reynolds number 
653 |a Computing time 
653 |a Graphics processing units 
700 1 |a Zhong Liyuan  |u Shanghai Automotive Wind Tunnel Center, Tongji University, Shanghai, China; Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Shanghai, China 
700 1 |a Dai Wentong  |u Shanghai Automotive Wind Tunnel Center, Tongji University, Shanghai, China; Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Shanghai, China 
700 1 |a Yang, Zhigang  |u Shanghai Automotive Wind Tunnel Center, Tongji University, Shanghai, China; Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Shanghai, China 
700 1 |a Sun, Chenyang  |u Shanghai Automotive Wind Tunnel Center, Tongji University, Shanghai, China; Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Shanghai, China 
773 0 |t Advances in Mechanical Engineering  |g vol. 9, no. 11 (Nov 2017) 
786 0 |d ProQuest  |t Engineering Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/1977720699/abstract/embedded/L8HZQI7Z43R0LA5T?source=fedsrch 
856 4 0 |3 Full Text  |u https://www.proquest.com/docview/1977720699/fulltext/embedded/L8HZQI7Z43R0LA5T?source=fedsrch 
856 4 0 |3 Full Text - PDF  |u https://www.proquest.com/docview/1977720699/fulltextPDF/embedded/L8HZQI7Z43R0LA5T?source=fedsrch