A multiblock mortar approach to modeling multiphase ow in porous media decomposes the simulation domain into a series of blocks with possibly di erent physical and numerical models employed in each block. Matching conditions along the interfaces are imposed through the use of mortar nite elements. A parallel domain decomposition algorithm reduces the algebraic nonlinear system to an interface p...

Multiphase flow in porous media provides a wide range of applications: from the environmental understanding (aquifer, site-pollution) to industrial process improvements (oil production, waste management). Modeling of such flows involves specific volume-averaged equations and therefore specific computational fluid dynamics (CFD) tools. In this work, we develop a toolbox for modeling multiphase f...

This review article aims to provide a comprehensive and understandable account of the theoretical foundation, modeling issues, and numerical implementation of the Lagrangian–Eulerian (LE) approach for multiphase flows. The LE approach is based on a statistical description of the dispersed phase in terms of a stochastic point process that is coupled with an Eulerian statistical representation of...

The ability to numerically simulate single phase and multiphase ow of uids in porous media is extremely important in developing an understanding of the complex phenomena governing the ow. The ow is complicated by the presence of heterogeneities in the reservoir and by phenomena such as diiusion, dispersion, and viscous ngering. These eeects must be mod-eled by terms in coupled systems of nonlin...