Natural convection in a vertical porous cavity

A Boundary Domain Integral Method is used for the solution of natural conve ction in a rectangular cavity, with vertical walls maintained at different constant temperatures and the top and bottom walls being adiabatic. Cavity is filled with an isotropic, homogeneous, rigid, fluid-saturated porous med ia assuming that the solid and the sigle-phase fluid are in thermal equilib rium The Brinkman-extended Darcy momentum equation with inertial (transport ) term, Brinkman (viscous) term and Darcy law, completed with continuity an d heat energy equation,is considered. The respective system of non-linear p artial differential equations is written in the Velocity-Vorticity Formulat ion.