We develop asymptotic modeling for two-or three-dimensional viscous fluid flow and
convective transfer at the interface between a fluid and a porous layer. The asymptotic …

This article shows how to consistently and accurately manage the Lagrangian formulation of
chemical reaction equations coupled with the superficial velocity formalism introduced in the …

We outline a 2D algorithm for solving incompressible flow–structure interaction problems for
mixed rigid/soft body representations, within a consistent framework based on the remeshed …

The global well-posedness in time is proved, with no restriction on the size of the data, for
the Stokes/Brinkman and Stokes/Darcy coupled flow problems with new jump interface …

An original nonlinear multi-dimensional model for the inertial fluid flow through a fluid-
porous interface is derived by asymptotic theory for arbitrary flow directions. The interfacial …

In this article, we present a numerical iterative method for the solution of internal viscous and
incompressible flows in real porous three-dimensional bodies at their pore scale. We use …

Topology optimization for fluid flow aims at finding the location of a porous medium
minimizing a cost functional under constraints given by the Navier–Stokes equations. The …

A two-phase flow model is developed to study the small deformation of a poroelastic drop
under linear flows. Inside the drop a deformable porous network characterized by an elastic …

A second-order accurate augmented method is proposed and analyzed in this paper for a
general elliptic PDE with a general boundary condition using the jump embedded boundary …

In this study, we prove the well-posedness of both the variable-viscosity Stokes/Darcy-
Brinkman and Stokes/Darcy coupled problems governing the viscous flow in fluid-porous …