Author(s)

Shaul Sorek, Viacheslav Borisov & Alex Yakirevich

Abstract

b On the Modified Eulerian-Lagrangian method for solving coupled balance equations in porous media Shaul Sorek*, Viacheslav Borisov* & Alex Yakirevich* *J. Blaustein Institute for Desert Research, Water Resources Research Center, Sde Boder Campus 84990, Israel ^Department of Mechanical Engineering, Perlstone Center for Aeronautical Studies, Beer Sheva 84105. Ben-Gurion University, Israel Abstract The paper presents the modified Eulerian-Lagrangian (MEL) method for solving the flow and the transport of extensive quantities in a porous medium. In this modified formulation, the material derivatives are written in terms of modified velocities. These are the velocities at which the various phase and component variables propagate in the domain, along their respective characteristic curves. It is shown that these velocities depend on the heterogeneity of various solid matrix and fluid properties. A numerical analysis proves that unlike the Eulerian and the Eulerian-Lagrangian (EL)

Keywords