CUDA-based JPCG parallel solution algorithm for 3D-DDA global equations

被引：0
|
作者：
Wang Z. [1 ]
Yang J. [1 ]
Ni K. [1 ]
Ning Y. [2 ]
机构：
[1] State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing
[2] School of Mechatronic Engineering, Southwest Petroleum University, Chengdu, 610500, Sichuan
来源：
Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering | 2020年 / 39卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Compute unified device architecture(CUDA); Jacobi-preconditioned conjugate gradient(JPCG); Rock mechanics; Successive over-relaxation(SOR); Three-dimensional discontinuous deformation analysis(3D-DDA);
D O I：
10.13722/j.cnki.jrme.2019.0929
中图分类号：
学科分类号：
摘要：
The discontinuous deformation analysis(DDA) method is widely used in geotechnical engineering. Different from the two-dimensional DDA (2D-DDA), the three-dimensional DDA(3D-DDA) has more remarkable capability to analyze practical deformation and stability problems of jointed rock masses. For 3D-DDA, however, due to the complexity of block contact, the increase of unknowns and the management of data and memory in the program demand a more stable and efficient algorithm for solving global equilibrium equations. For the successive over-relaxation(SOR) algorithm used in the original DDA program, the improper selection of the SOR factor will make the solution of the global equilibrium equations unable to converge. In the present work, based on the compute unified device architecture of GPU, the parallel Jacobi-preconditioned conjugate gradient(JPCG) algorithm is developed to solve the 3D-DDA global equilibrium equations. Simulation examples are given to demonstrate the acceleration effect of the JPCG algorithm combined with the GPU technology. Compared with the original serial SOR algorithm, the parallel JPCG algorithm not only avoids the influence of the SOR factor on the convergence but also improves solution efficiency, which creates favorable conditions for the 3D-DDA to be used in practical rock mechanics and rock engineering problems. © 2020, Science Press. All right reserved.
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页码：1231 / 1241
页数：10
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