Pore scale simulation of fluid flow and heat transfer in porous media

This paper presents an immersed boundary method for the calculation of fluid flow and heat transfer in porous media. A two-dimensional compact finite differences immersed boundary method was used to solve the unsteady, incompressible mass, momentum and energy conservation equations. The temporal and spatial discretizations are preformed, respectively, with a fourth-order Runge-Kutta method and a fourth-order compact scheme, used to achieve highly accurate calculations