Nonstandard finite difference schemes for natural convection in an inclined porous rectangular cavity

Abstract

The natural convection in an inclined porous rectangular cavity is investigated numerically. The cavity horizontal walls were assumed to be adiabatic while the right wall has spatial sinusoidal temperature variations about a constant mean value and the left wall is cooled. The governing equations were solved using nonstandard finite difference method on uniform rectangular meshes and solution of algebraic equations was made based on successive over and under relaxation method. The effects of the inclination angle of the cavity on the natural convection inside the cavity were studied. Results obtained were compared with the classical finite difference scheme.