The multiscale perturbation method for two-phase reservoir flow problems
作者：
Highlights：
• MPM-2P is introduced to speed-up the numerical solution of two-phase flow problems.
• A modified operator splitting method is proposed to reduce the computational cost of the simulation of the two-phase flows.
• The new algorithm replaces full updates of local solutions by reusing basis functions computed by the MRCM at an earlier time of the simulation.
• Numerical experiments provide evidence of improved efficiency for various challenging permeability fields.
摘要
•MPM-2P is introduced to speed-up the numerical solution of two-phase flow problems.•A modified operator splitting method is proposed to reduce the computational cost of the simulation of the two-phase flows.•The new algorithm replaces full updates of local solutions by reusing basis functions computed by the MRCM at an earlier time of the simulation.•Numerical experiments provide evidence of improved efficiency for various challenging permeability fields.
论文关键词：Two-phase flows,Porous media,Multiscale perturbation method,Multiscale basis functions,Robin boundary conditions
论文评审过程：Received 11 November 2020, Revised 5 November 2021, Accepted 28 December 2021, Available online 24 January 2022, Version of Record 24 January 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126908
