This book presents an account of theories of? ow in porous media which have proved tractable to analysis and computation. In particular, the t-ories of Darcy, Brinkman, and …
M Mu, X Zhu - Mathematics of Computation, 2010 - ams.org
We study numerical methods for solving a non-stationary mixed Stokes-Darcy problem that models coupled fluid flow and porous media flow. A decoupling approach based on …
Y Cao, M Gunzburger, X He, X Wang - Mathematics of Computation, 2014 - ams.org
Two parallel, non-iterative, multi-physics, domain decomposition methods are proposed to solve a coupled time-dependent Stokes-Darcy system with the Beavers-Joseph-Saffman …
W Layton, H Tran, C Trenchea - SIAM Journal on Numerical Analysis, 2013 - SIAM
The most effective simulations of the multiphysics coupling of groundwater to surface water must involve employing the best groundwater codes and the best surface water codes …
Y Gao, X He, L Mei, X Yang - SIAM Journal on Scientific Computing, 2018 - SIAM
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 …
C Qiu, X He, J Li, Y Lin - Journal of Computational Physics, 2020 - Elsevier
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 …
Y Cao, M Gunzburger, X He, X Wang - Numerische Mathematik, 2011 - Springer
Abstract Domain decomposition methods for solving the coupled Stokes–Darcy system with the Beavers–Joseph interface condition are proposed and analyzed. Robin boundary …
X He, J Li, Y Lin, J Ming - SIAM Journal on Scientific Computing, 2015 - SIAM
This paper proposes and analyzes a Robin-type multiphysics domain decomposition method (DDM) for the steady-state Navier--Stokes--Darcy model with three interface …
X He, N Jiang, C Qiu - International Journal for Numerical …, 2020 - Wiley Online Library
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 …