Abstract
Simultaneous analysis of seepage flows in porous media and regular flows in fluid domains has a variety of applications to practical problems. The objective of this paper is to provide a numerical method to simulate these two different flows simultaneously and continuously. To this end, the authors have employed the Darcy-Brinkman equations, which include the Navier-Stokes equations and can approximately describe Darcy flows by changing the values of porosity and hydraulic conductivity. This paper explains the procedures to provide stable solutions of the governing equations and presents several numerical results of the simultaneous analysis. The key to obtain the stable and physically natural solutions lies in the interpolation of variables onto the interface between the porous and fluid domains. The numerical results by the proposed method have shown the stable and natural behavior of fluids over two different domains.
