A Study on Linear Elastic FEM by Cloud Computing

Authors:
Haiming Lin;Xiaohu Liu;Wei Fu;Kangyu Jia
Affiliations:
Department of Mechanics Huazhong University of Science and Technology Wuhan, China, 430074;Department of Mechanics Huazhong University of Science and Technology Wuhan, China, 430074;Department of Mechanics Huazhong University of Science and Technology Wuhan, China, 430074;Department of Mechanics Huazhong University of Science and Technology Wuhan, China, 430074
Venue:
Proceedings of the Second International Conference on Innovative Computing and Cloud Computing
Year:
2013

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Abstract

This paper proposes a parallel algorithm of assembling global stiffness matrix of linear elastic finite element method (FEM) and solving linear equations using conjugate gradient (CG) method based on the MapReduce architectural pattern, then implements it on a 6-nodes Hadoop laboratory test cloud computing cluster. For the spatial truss systems, the numerical results show that it is simple and easy to use the proposed parallel algorithm to implement the FEM calculation on the cloud computing platform. This paper has achieved a speedup ratio of 3 in assembling global stiffness matrix, and it will increase with increasing the scale of the model and the number of cluster's nodes, but the performance in solving linear equations is limited, which should be improved in the future.