Strong coupling of finite element methods for the Stokes-Darcy problem

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Mortar multiscale finite element methods for Stokes-Darcy flows

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 series of subdomains (coarse grid) of either Stokes or Darcy type. The subdomains are discretized by appropriate Stokes or Darcy finite elements. The solution is resolved locally (in each coarse element) on a fine scale, allow...

متن کامل

Uniformly-stable Finite Element Methods for Darcy-stokes-brinkman Models

In this paper, we consider 2D and 3D Darcy-Stokes interface problems. These equations are related to Brinkman model that treats both Darcy’s law and Stokes equations in a single form of PDE but with strongly discontinuous viscosity coefficient and zerothorder term coefficient. We present three different methods to construct uniformly stable finite element approximations. The first two methods a...

متن کامل

Analysis 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 کامل

Iterative Methods for Stokes/Darcy Coupling

The simulation of incompressible flows in heterogenous media is an interesting topic with many applications: considering the particular case of free fluids which can filtrate through porous media, we recall for example the hydrological environmental applications and mass transfer in biomechanics. The Stokes/Darcy coupled system provides a linear model to describe such phenomena. We consider a b...

متن کامل

Stable Finite Element Methods for the Stokes Problem

The mixed finite element scheme of the Stokes problem with pressure stabilization is analyzed for the cross-grid Pk−Pk−1 elements, k≥ 1, using discontinuous pressures. The P+ k −Pk−1 elements are also analyzed. We prove the stability of the scheme using the macroelement technique. The order of convergence follows from the standard theory of mixed methods. The macroelement technique can also be ...

متن کامل

ذخیره 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: IMA Journal of Numerical Analysis

سال: 2014

ISSN: 0272-4979,1464-3642

DOI: 10.1093/imanum/dru023