A linear domain decomposition method for two-phase flow in porous media
Provides a theoretical convergence guarantee for a domain decomposition method applied to two-phase flow, an incremental extension of prior work on single-phase flow.
This work extends a domain decomposition method for Richards equation to two-phase flow in porous media, proving convergence of the proposed linearized decoupling technique.
This article is a follow up of our submitted paper [11] in which a decomposition of the Richards equation along two soil layers was discussed. A decomposed problem was formulated and a decoupling and linearisation technique was presented to solve the problem in each time step in a fixed point type iteration. This article extends these ideas to the case of two-phase in porous media and the convergence of the proposed domain decomposition method is rigorously shown.