Convolution quadrature time-domain boundary element method for 2-D fluid-saturated porous media |
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Institution: | 1. Division of Environmental Engineering Science, Faculty of Science and Technology, Gunma University, 1-5-1 Kiryu, Tenjin 376-8515, Japan;2. Department of Mechanical and Environmental Informatics, Graduate School of Information Science and Engineering, Tokyo Institute of Technology, 2-12-1-W8-22 O-okayama, Meguro, Tokyo 152-8552, Japan |
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Abstract: | For large-scale wave analyses of fluid-saturated porous media, a conventional time-domain boundary element method (BEM) cannot be applied because of the following reasons: (1) no time-domain fundamental solutions are known for some problems, (2) the method sometimes suffers from instability, and (3) the analyses require large amounts of computational time and memory. In this study, an innovative time-domain BEM is developed for a fluid-saturated porous medium. The formulation presented herein overcomes the above disadvantages using a convolution quadrature method (CQM), first proposed by Lubich, and hybrid-parallelization with both MPI and OpenMP. Problems involving the scattering of an incident plane wave by cavities in a 2-D poroelastic medium are solved as a means of validating the proposed method. |
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Keywords: | Time-domain boundary element method Wave analysis Convolution quadrature method Poroelastodynamics |
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