@Article{cmes.2009.044.219,
AUTHOR = {D.  Ho-Minh, N.  Mai-Duy, T.  Tran-Cong},
TITLE = {A Galerkin-RBF Approach for the Streamfunction-Vorticity-Temperature Formulation of Natural Convection in 2D Enclosured Domains},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {44},
YEAR = {2009},
NUMBER = {3},
PAGES = {219--248},
URL = {http://www.techscience.com/CMES/v44n3/25326},
ISSN = {1526-1506},
ABSTRACT = {This paper reports a new discretisation technique for the streamfunc -tion-vorticity-temperature (<i>ψ−ω−T</i>)  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 (<i>ψ−ω−T</i> 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 10<sup>8</sup>.},
DOI = {10.3970/cmes.2009.044.219}
}