The sequential fully implicit (SFI) method was introduced along with the development of the
multiscale finite volume (MSFV) framework, and has received considerable attention in …

Implicit transport solvers used in reservoir simulation can take longer time steps than explicit
solvers, but for long time steps, the commonly used Newton-Raphson's method will often fail …

Numerical simulation of coupled multiphase flow and transport in porous media is used in
many scientific and industrial applications, such as groundwater management and oil …

We consider the numerical solution of the partial differential equations governing multiphase
flow in porous media. For highly nonlinear problems, the temporal discretization of choice is …

A conservative sequential fully implicit method is derived for compositional reservoir
simulation. Multi-phase flow in porous media comprises coupled complex processes: ie …

Simulating the flow of two fluid phases in porous media is a challenging task, especially
when fractures are included in the simulation. Fractures may have highly heterogeneous …

We propose a stable time stepping algorithm for sequential fully implicit method (SFIM) in
solving the coupled flow and transport equations for multi-phase flow in reservoir simulation …

In the presence of counter-current flow, nonlinear convergence problems may arise in
implicit time-stepping when the popular phase-potential upwinding (PPU) scheme is used …

Multi-phase flow in porous media in the presence of viscous, gravitational, and capillary
forces is described by advection diffusion equations with nonlinear parameters of relative …

Numerical simulation of thermal multiphase fluid flow poses significant difficulties for
nonlinear solvers. One approach to this problem is to solve the entire nonlinear system of …