A Lagrange multiplier method for a Stokes–Biot fluid–poroelastic structure interaction model
We study a finite element computational model for solving the coupled problem arising in the
interaction between a free fluid and a fluid in a poroelastic medium. The free fluid is …
interaction between a free fluid and a fluid in a poroelastic medium. The free fluid is …
Decoupled, linear, and energy stable finite element method for the Cahn--Hilliard--Navier--Stokes--Darcy phase field model
In this paper, we consider the numerical approximation for a phase field model of the
coupled two-phase free flow and two-phase porous media flow. This model consists of Cahn …
coupled two-phase free flow and two-phase porous media flow. This model consists of Cahn …
A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition
In this article a domain decomposition method is proposed to solve a time-dependent Navier-
Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary …
Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary …
A domain decomposition method for the steady-state Navier--Stokes--Darcy model with Beavers--Joseph interface condition
This paper proposes and analyzes a Robin-type multiphysics domain decomposition
method (DDM) for the steady-state Navier--Stokes--Darcy model with three interface …
method (DDM) for the steady-state Navier--Stokes--Darcy model with three interface …
Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities
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 …
approach for coupled two-phase free flow and two-phase porous media flow of different …
An artificial compressibility ensemble algorithm for a stochastic Stokes‐Darcy model with random hydraulic conductivity and interface conditions
We propose and analyze an efficient ensemble algorithm with artificial compressibility (AC)
for fast decoupled computation of multiple realizations of the stochastic Stokes‐Darcy model …
for fast decoupled computation of multiple realizations of the stochastic Stokes‐Darcy model …
[HTML][HTML] A new numerical mesoscopic scale one-domain approach solver for free fluid/porous medium interaction
A new numerical continuum one-domain approach (ODA) solver is presented for the
simulation of the transfer processes between a free fluid and a porous medium. The solver is …
simulation of the transfer processes between a free fluid and a porous medium. The solver is …
A dual-porosity-Stokes model and finite element method for coupling dual-porosity flow and free flow
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 …
dual-porosity media coupled with free flow in embedded macrofractures and conduits. Such …
Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes–Darcy flows on polygonal and polyhedral grids
K Lipnikov, D Vassilev, I Yotov - Numerische Mathematik, 2014 - Springer
We study locally mass conservative approximations of coupled Darcy and Stokes flows on
polygonal and polyhedral meshes. The discontinuous Galerkin (DG) finite element method …
polygonal and polyhedral meshes. The discontinuous Galerkin (DG) finite element method …
On Stokes--Ritz projection and multistep backward differentiation schemes in decoupling the Stokes--Darcy model
We analyze a parallel, noniterative, multiphysics domain decomposition method for
decoupling the Stokes--Darcy model with multistep backward differentiation schemes for the …
decoupling the Stokes--Darcy model with multistep backward differentiation schemes for the …