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Parallel algorithms for dynamics analysis of structures and their impementations

CHENG Jiangang, GAO Yun, ZHENG Xiaoping, YAO Zhenhan Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China  
The parallel algorithms for FEM in the distributed memory environment are studied. Two implicit parallel time integration algorithms are presented, which are, respectively, the paralleled Newmark method and Wilsion θ method. Emphasis is placed on the parallel LDL T decomposition of the equivalent stiffness matrices in the two methods. The algorithms are carried out in the MIMD environment on Transputer, and are also integrated into the available PFEM package which is a serial parallel mixed FEM softward. As verifying examples, a plane problem in elasticity and a 3D plate problem are presented. The result shows that the parallel efficiencies in present method are satisfactory as well, which are 0.70 and 0.55 respectively when the degree of freedom (DOF) is 7579, and the maximum bandwidth is 726 under two processors and three processors.
【Fund】: 国家自然科学基金
【CateGory Index】: O342
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