Finite Element Method (FEM1) is pervasively used in most of 3D product design analysis, in which Computer Aided Design (CAD) models need to be converted in to mesh models first and then enriched with some material features and boundary conditions data, etc. The interaction between CAD models and FEM models is intensive. Boundary Element Method (BEM) has been expected to be advantageous in large-scale problems in recent years owing to its reduction of the dimensionality and its reduced complexity in mesh generation. However, the BEM application has so far been limited to relatively small problems due to the memory and computational complexity for matrix buildup are O(N2). The fast multipole BEM (FMBEM) combined with BEM and fast multipole method (FMM) can overcome the defect of the traditional BEM, and provides an effective method to solve the large-scale problem. Combining GPU parallel computing with FMBEM can further improve its efficiency significantly. Based on the three-dimensional elastic mechanics problems, the parallelisms of the multipole moment (ME), multipole moment to multipole moment (M2M) translation, multipole moment to local expansion (M2L) translation, local expansion to local expansion (L2L) translation and near-field direct calculation were analyzed respectively according to the characteristics of the FMM, and the parallel strategies under CUDA were presented in this paper. Three main major parts are included herein: (1) FMBEM theory in 3D elastostatics, (2) the parallel FMBEM algorithm using CUDA, and (3) comparison the GPU parallel FMBEM with BEM, FEM and FMBEM respectively by engineering examples. Numerical example results show the 3D elastostatics GPU FMBEM not only can speed up the boundary element calculation process, but also save memory which can be effective to solve the large-scale engineering problems.
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ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 17–20, 2014
Buffalo, New York, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-4628-5
PROCEEDINGS PAPER
Parallel Strategy of FMBEM for 3D Elastostatics and its GPU Implementation Using CUDA
Zhaohui Xia,
Zhaohui Xia
Huazhong University of Science and Technology, Wuhan, Hubei, China
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Qifu Wang,
Qifu Wang
Huazhong University of Science and Technology, Wuhan, Hubei, China
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Yunbao Huang,
Yunbao Huang
Huazhong University of Science and Technology, Wuhan, Hubei, China
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Wei Yixiong,
Wei Yixiong
Huazhong University of Science and Technology, Wuhan, Hubei, China
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Wang Yingjun
Wang Yingjun
University of California, San Diego, La Jolla, CA
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Zhaohui Xia
Huazhong University of Science and Technology, Wuhan, Hubei, China
Qifu Wang
Huazhong University of Science and Technology, Wuhan, Hubei, China
Yunbao Huang
Huazhong University of Science and Technology, Wuhan, Hubei, China
Wei Yixiong
Huazhong University of Science and Technology, Wuhan, Hubei, China
Wang Yingjun
University of California, San Diego, La Jolla, CA
Paper No:
DETC2014-34587, V01AT02A060; 9 pages
Published Online:
January 13, 2015
Citation
Xia, Z, Wang, Q, Huang, Y, Yixiong, W, & Yingjun, W. "Parallel Strategy of FMBEM for 3D Elastostatics and its GPU Implementation Using CUDA." Proceedings of the ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1A: 34th Computers and Information in Engineering Conference. Buffalo, New York, USA. August 17–20, 2014. V01AT02A060. ASME. https://doi.org/10.1115/DETC2014-34587
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