Unified finite element discretizations of coupled Darcy-Stokes flow
نویسندگان
چکیده
منابع مشابه
Unified Finite Element Discretizations of Coupled Darcy-stokes Flow
In this paper we discuss some new finite element methods for flows which are governed by the linear stationary Stokes system on one part of the domain and by a second order elliptic equation derived form Darcy’s law in the rest of the domain, and where the solutions in the two domain are coupled by proper interface conditions. All the methods proposed here utilizes the same finite element space...
متن کاملA stabilized mixed finite element method for Darcy–Stokes flow
This paper presents a new stabilized finite element method for the Darcy–Stokes equations also known as the Brinkman model of lubrication theory. These equations also govern the flow of incompressible viscous fluids through permeable media. The proposed method arises from a decomposition of the velocity field into coarse/resolved scales and fine/unresolved scales. Modelling of the unresolved sc...
متن کاملA Robust Finite Element Method for Darcy-Stokes Flow
Finite element methods for a family of systems of singular perturbation problems of a saddle point structure are discussed. The system is approximately a linear Stokes problem when the perturbation parameter is large, while it degenerates to a mixed formulation of Poisson’s equation as the perturbation parameter tends to zero. It is established, basically by numerical experiments, that most of ...
متن کاملUnified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
In this paper we propose stabilized finite element methods for both Stokes’ and Darcy’s problems that accommodate any interpolation of velocities and pressures. Apart from the interest of this fact, the important issue is that we are able to deal with both problems at the same time, in a completely unified manner, in spite of the fact that the functional setting is different. Concerning the sta...
متن کاملAnalysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
In this paper we analyze fully-mixed finite element methods for the coupling of fluid flow with porous media flow in 2D. Flows are governed by the Stokes and Darcy equations, respectively, and the corresponding transmission conditions are given by mass conservation, balance of normal forces, and the Beavers-Joseph-Saffman law. The fully-mixed concept employed here refers to the fact that we con...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerical Methods for Partial Differential Equations
سال: 2008
ISSN: 0749-159X
DOI: 10.1002/num.20349