| Often in modeling of flow in porous media the complexity and nature of the underlying physical processes vary throughout the domain of interest. For example, in enhanced oil recovery, natural gas usually forms near production wells, but may not be present away from them. In this talk we discuss a multiblock multiphysics formulation which decomposes the domain into a series of blocks (subdomains) and allows different physical models, grids, and numerical methods to be used in different blocks. Careful choice of physical models and discretization schemes may lead to substantial computational savings without sacrificing accuracy. We discuss two critical issues in this approach, 1) imposing and discretizing interface conditions in a stable and accurate way, and 2) solving efficiently the resulting nonlinear algebraic problem. Computational results from two-phase and three-phase flow simulations will be presented. |