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