Application of homogenization theory related to stokes flow in porous media

被引:9
|
作者
Bang B. [1 ]
Lukkassen D. [2 ]
机构
[1] Dept. of Eng. Design and Production, HiN, Narvik Institute of Technology
[2] Department of Mathematics, HiN, Narvik Technol. A/S NORUT T.
关键词
Homogenization theory; Numerical experiments; Porous media; Stokes flow;
D O I
10.1023/A:1023084614058
中图分类号
学科分类号
摘要
We consider applications, illustration and concrete numerical treatments of some homogenization results on Stokes flow in porous media. In particular, we compute the global permeability tensor corresponding to an unidirectional array of circular fibers for several volume-fractions. A 3-dimensional problem is also considered.
引用
收藏
页码:309 / 319
页数:10
相关论文
共 50 条
  • [21] HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM
    Yao Zhengan
    Zhao Hongxing
    ACTA MATHEMATICA SCIENTIA, 2008, 28 (04) : 963 - 974
  • [22] A pure Stokes approach for coupling fluid flow with porous media flow
    Shakoor, Modesar
    Park, Chung Hae
    FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2024, 231
  • [23] Stokes flow in random, anisotropic and correlated pixelized porous media
    Kikkinides, ES
    Burganos, VN
    COMPUTATIONAL METHODS IN CONTAMINATION AND REMEDIATION OF WATER RESOURCES: PROCEEDINGS OF 12TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL METHODS IN WATER RESOURCES, VOL 1, 1998, 12 : 215 - 222
  • [24] On a Multigrid Method for the Coupled Stokes and Porous Media Flow Problem
    Luo, P.
    Rodrigo, C.
    Gaspar, F. J.
    Oosterlee, C. W.
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016), 2017, 1863
  • [25] Permeability analysis of fractured vuggy porous media based on homogenization theory
    HUANG ZhaoQinYAO JunLI YaJunWANG ChenChenLXinRui College of Petroleum EngineeringChina University of PetroleumQingdao China
    Science China(Technological Sciences), 2010, 53 (03) : 839 - 847
  • [26] Permeability analysis of fractured vuggy porous media based on homogenization theory
    Huang ZhaoQin
    Yao Jun
    Li YaJun
    Wang ChenChen
    Lue XinRui
    SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2010, 53 (03) : 839 - 847
  • [27] Adaptive finite element simulation of Stokes flow in porous media
    Cao, J
    Kitanidis, PK
    ADVANCES IN WATER RESOURCES, 1998, 22 (01) : 17 - 31
  • [28] OSCILLATORY STOKES-FLOW IN PERIODIC POROUS-MEDIA
    CHAPMAN, AM
    HIGDON, JJL
    PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1992, 4 (10): : 2099 - 2116
  • [29] HOMOGENIZATION APPROACH TO THE DISPERSION THEORY FOR REACTIVE TRANSPORT THROUGH POROUS MEDIA
    Allaire, Gregoire
    Mikelic, Andro
    Piatnitski, Andrey
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2010, 42 (01) : 125 - 144