标题：A characteristic finite difference domain decomposition substructuring method for immiscible displacement problems in three-dimensional porous media
作者机构：[Li, Changfeng ] School of Economics, Shandong University, Jinan, 250100, China
会议名称：2012 International Conference on Material Sciences and Manufacturing Technology, ICMSMT 2012
会议日期：5 October 2012 through 6 October 2012
来源：Advanced Materials Research
关键词：Characteristic difference; Domain decomposition; Error estimates; Parallel computation; Two-phase displacement
摘要：Two-phase immiscible displacement in porous media is described by a coupled nonlinear system of an elliptic equation (for the pressure) and a parabolic equation (for the saturation). For the saturation changes much rapidly than the pressure, a more accurate solution (in both time and space) should be illustrated in practical numerica simulaiton for the former unknown. In this paper we present a seven-point central finite difference scheme to simulate the pressure and a characteristic finite difference combinng with domain decomposition method for the saturation equation. This method consists of reduced two-dimensional computation on the subdomain interface boundaries and fully implicit computation parallelly in subdomains. Aparallel algorithm is outlined and an error estimate in discrete l 2 norm is derived by introducing new inner products and norms. At the end of this paper, numerical experiments are presented in order to demonstrate theoretical results and the efficiency. © (2013) Trans Tech Publications, Switzerland.