TY - EJOU AU - Ho-Minh, D. AU - Mai-Duy, N. AU - Tran-Cong, T. TI - A Galerkin-RBF Approach for the Streamfunction-Vorticity-Temperature Formulation of Natural Convection in 2D Enclosured Domains T2 - Computer Modeling in Engineering \& Sciences PY - 2009 VL - 44 IS - 3 SN - 1526-1506 AB - This paper reports a new discretisation technique for the streamfunc -tion-vorticity-temperature (ψ−ω−T) formulation governing natural convection defined in 2D enclosured domains. The proposed technique combines strengths of three schemes, i.e. smooth discretisations (Galerkin formulation), powerful high-order approximations (one-dimensional integrated radial-basis-function networks) and pressure-free low-order system (ψ−ω−T formulation). In addition, a new effective way of deriving computational boundary conditions for the vorticity is proposed. Two benchmark test problems, namely free convection in a square slot and a concentric annulus, are considered, where a convergent solution for the former is achieved up to the Rayleigh number of 108. KW - Integrated RBFNs KW - Galerkin approach KW - streamfunction-vorticity-tem -perature formulation KW - natural convection DO - 10.3970/cmes.2009.044.219