Boundary domain integral method for transport phenomena in porous media
A boundary domain integral method (BDIM) for the solution of transport phenomena in porous media is presented. The complete, so-called modified Navier-Stokes equations (Brinkman-extended Darcy formulation with inertial term included) have been used to describe the fluid motion in porous media. Velocity-vorticity formulation (VVF) of the conservative equations is employed. In this paper, the proposed numerical scheme is tested on a particular case of natural convection and the results of flow and heat transfer characteristics of a fluid in a vertical porous cavity heated from the side and saturated with Newtonian fluid are presented in detail. Copyright (C) 2001 John Wiley & Sons, Ltd.
boundary domain integral method porous media brinkman-extended darcy formulation velocity-vorticity formulation natural convection