标题:A Block-Centered Finite Difference Method for Slightly Compressible Darcy-Forchheimer Flow in Porous Media
作者:Rui, Hongxing; Pan, Hao
作者机构:[Rui, Hongxing] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.; [Pan, Hao] Shandong Agr Univ, Sch Informat Sci & Engn, Tai An 271 更多
通讯作者:Rui, Hongxing
通讯作者地址:[Rui, HX]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
来源:JOURNAL OF SCIENTIFIC COMPUTING
出版年:2017
卷:73
期:1
页码:70-92
DOI:10.1007/s10915-017-0406-y
关键词:Block-centered finite difference; Darcy-Forchheimer flow; Compressible;; Error estimate; Numerical experiment
摘要:A block-centered finite difference method is introduced to solve an initial and boundary value problem for a nonlinear parabolic equation to model the slightly compressible flow in porous media, in which the velocity-pressure relation is described by Darcy-Forchheimer's Law. The method can be thought as the lowest order Raviart-Thomas mixed element method with proper quadrature formulation. By using the method the velocity and pressure can be approximated simultaneously. We established the second-order error estimates for pressure and velocity in proper discrete norms on non-uniform rectangular grid. No time-step restriction is needed for the error estimates. The numerical experiments using the scheme show that the convergence rates of the method are in agreement with the theoretical analysis.
收录类别:EI;SCOPUS;SCIE
WOS核心被引频次:2
Scopus被引频次:4
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85014590585&doi=10.1007%2fs10915-017-0406-y&partnerID=40&md5=71d7908218ca4090b1693b9acbc3800b
TOP