Simulation of two-phase incompressible fluid flow in highly heterogeneous porous media by considering localization assumption in multiscale finite volume method
作者：
Highlights：
• Six localization schemes producing basis functions for the MsFV method are compared.
• Localization schemes are presented in both classic and matrix formulations.
• A heterogeneous two-dimensional problem with a continuous permeability field is designed and solved analytically.
• The accuracy of MsFV with different localizations is examined for highly heterogeneous problems.
• The modified variable boundary condition produces the most accurate results, among the considered localization schemes.
摘要
•Six localization schemes producing basis functions for the MsFV method are compared.•Localization schemes are presented in both classic and matrix formulations.•A heterogeneous two-dimensional problem with a continuous permeability field is designed and solved analytically.•The accuracy of MsFV with different localizations is examined for highly heterogeneous problems.•The modified variable boundary condition produces the most accurate results, among the considered localization schemes.
论文关键词：Multi-scale finite volume method,Localization assumption,Modified variable boundary condition,Basis function,Heterogeneity,Continuous problem
论文评审过程：Received 17 February 2020, Revised 26 July 2020, Accepted 22 August 2020, Available online 12 September 2020, Version of Record 12 September 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125649
