标题:A characteristic finite difference domain decomposition substructuring method for immiscible displacement problems in three-dimensional porous media
作者:Li, Changfeng
通讯作者:Li, C.
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
出版年:2013
卷:629
页码:915-919
DOI:10.4028/www.scientific.net/AMR.629.915
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.
收录类别:EI;SCOPUS
资源类型:会议论文;期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84872898934&doi=10.4028%2fwww.scientific.net%2fAMR.629.915&partnerID=40&md5=929de72d2bedd37042ff2f99ecd00bfb
TOP