A hybrid finite difference/control volume method for the three dimensional poroelastic wave equations in the spherical coordinate system
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AbstractIn this paper, we consider the numerical approximation of the three-dimensional poroelastic wave equations in the spherical coordinate system. One difficulty in the design of an efficient numerical scheme is that the problem is singular in the center and the polar axes of the computational domain. Nevertheless, we develop a hybrid finite difference/control volume method for solving this problem. Our method is explicit and is second order accurate in both space and time. Numerical results are shown to confirm the convergence rate of our method and the effectiveness to simulate wave propagation in poroelastic media in the spherical coordinate system. (C) 2013 The Authors. Published by Elsevier B.V. All rights reserved.
All Author(s) ListZhang WS, Tong L, Chung ET
Journal nameJournal of Computational and Applied Mathematics
Year2014
Month1
Day1
Volume Number255
PublisherELSEVIER SCIENCE BV
Pages812 - 824
ISSN0377-0427
eISSN1879-1778
LanguagesEnglish-United Kingdom
Keywords3D; Control volume method; Finite difference method; Poroelastic wave equations; Singularity; Spherical domain
Web of Science Subject CategoriesMathematics; Mathematics, Applied; MATHEMATICS, APPLIED

Last updated on 2020-27-05 at 03:57