In this article we consider the numerical modeling and simulation via the phase field
approach for coupled two-phase free flow and two-phase porous media flow of different …

In this paper, we propose and numerically solve a new model considering confined flow in
dual-porosity media coupled with free flow in embedded macrofractures and conduits. Such …

We investigate mortar multiscale numerical methods for coupled Stokes and Darcy flows
with the Beavers–Joseph–Saffman interface condition. The domain is decomposed into a …

We study locally mass conservative approximations of coupled Darcy and Stokes flows on
polygonal and polyhedral meshes. The discontinuous Galerkin (DG) finite element method …

In this paper, we propose and analyze two stabilized mixed finite element methods for the
dual‐porosity‐Stokes model, which couples the free flow region and microfracture‐matrix …

This paper presents a weak virtual element method on general meshes for the Stokes–
Darcy problem with the Beavers–Joseph–Saffman interface condition. The velocity is …

The demands of computational resources of a simulator and the necessary efforts in defining
boundary and initial conditions increase with the physical complexity of a model. Thus, a …

We analyze a parallel, noniterative, multiphysics domain decomposition method for
decoupling the Stokes--Darcy model with multistep backward differentiation schemes for the …

A non-overlapping domain decomposition method is presented to solve a coupled Stokes–
Darcy flow problem in parallel by partitioning the computational domain into multiple …

In this article, we present a time-dependent dual-porosity–Navier–Stokes model with four
interface conditions, including Beavers–Joseph interface condition, to describe a coupling …