NUMERICAL SOLUTION OF CONJUGATE NATURAL CONVECTION HEAT TRANSFER USING LOCAL RADIAL BASIS FUNCTION MESHLESS METHOD

Abstract

This paper discusses numerical solution of conjugate natural convection heat transfer problem using local radial basis function meshless method. Temperature difference is assumed small enough so that the Boussinesq approximation holds. Artificial compressibility method is used to couple the pressure to the continuity equation. The meshless method requires only a set of nodes, which is distributed in spatial domain. The semi algebraic equations is integrated using the second order Runge-Kutta. The numerical results are compared with three benchmark solutions and the results provide a good agreement.