Coupling Fluid Flow with Porous Media Flow

نویسندگان

  • William J. Layton
  • Friedhelm Schieweck
  • Ivan Yotov
چکیده

The transport of substances back and forth between surface water and groundwater is a very serious problem. We study herein the mathematical model of this setting consisting of the Stokes equations in the fluid region coupled with the Darcy equations in the porous medium, coupled across the interface by the Beavers–Joseph–Saffman conditions. We prove existence of weak solutions and give a complete analysis of a finite element scheme which allows a simulation of the coupled problem to be uncoupled into steps involving porous media and fluid flow subproblems. This is important because there are many “legacy” codes available which have been optimized for uncoupled porous media and fluid flow.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Experimental Investigation of the Permeability and Inertial Effect on Fluid Flow through Homogeneous Porous Media

The value of the permeability in fluid flow through porous media is important for process investigation. In low Reynolds number, the classic Darcy’s law is suitable for simulation of fluid flow. In this paper, an experimental study for evaluation of preformed fiber permeability has been done. Also, the deviations from the classical Darcy law by experimental and numerical simulation of the N...

متن کامل

Axisymmetric Magnetohydrodynamic Squeezing flow of Nanofluid in Porous Media under the influence of Slip Boundary Condition

The various industrial, biological and engineering applications of flow of squeezing flow of fluid between parallel plates have been the impetus for the continued interest and generation renewed interests on the subject. As a part of the renewed interests, this paper presents the study of axisymmetric magnetohydrodynamic squeezing flow of nanofluid in porous media under the influence of slip bo...

متن کامل

Absolute Permeability Calculation by Direct Numerical Simulation in Porous Media

Simulating fluid flow at micro level is an ongoing problem. Simplified macroscopic flow models like Darcy’s law is unable to estimate fluid dynamic properties of porous media. The digital sample reconstruction by high resolution X-ray computed tomography scanning and fluid-dynamics simulation, together with the increasing power of super-computers, allow to carry out pore-scale simulations throu...

متن کامل

Slip flow in porous micro-tubes under local thermal non-equilibrium conditions

In the present work, forced convection heat transfer of slip flow in porous micro-tubes with local thermal non-equilibrium between the gas and the solid matrix is investigated numerically. For this purpose, the flow is considered hydrodynamically developed but thermally developing. The Darcy-Brinkman-Forchheimer model in conjunction with separate energy equations for the gas and the solid matri...

متن کامل

Second Law Based Analysis of Fluid Flow in the Regenerator of Pulse Tube Refrigerators

As a necessary component, regenerator plays an important role in the refrigeration performance of the pulse tube refrigerator. The objective of this research is to investigate the flow characteristics in a porous regenerator of the pulse tube refrigerators, subjected to oscillating flow. The hydrodynamic and thermal behavior of the regenerator is investigated by considering porous media approac...

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

عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 40  شماره 

صفحات  -

تاریخ انتشار 2002