A hybrid finite difference/control volume method for the three dimensional poroelastic wave equations in the spherical coordinate system

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:255

Article

Zhang, Wensheng¹  Tong, Li¹  Chung, Eric T.² 

[1] Chinese Acad Sci, LSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Chinese Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

关键词: 3D;    Poroelastic wave equations;    Finite difference method;    Control volume method;    Spherical domain;    Singularity;   

DOI  :  10.1016/j.cam.2013.06.029

来源: Elsevier

【 摘 要 】

In 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.

【 授权许可】

Free