@Article{cmes.2012.083.275,
AUTHOR = {D.  Ngo-Cong, N.  Mai-Duy, W.  Karunasena, T.  Tran-Cong},
TITLE = {Local Moving Least Square - One-Dimensional IRBFN Technique: Part I - Natural Convection Flows in Concentric and Eccentric Annuli},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {83},
YEAR = {2012},
NUMBER = {3},
PAGES = {275--310},
URL = {http://www.techscience.com/CMES/v83n3/25792},
ISSN = {1526-1506},
ABSTRACT = {In this paper, natural convection flows in concentric and eccentric annuli are studied using a new numerical method, namely local moving least square - one dimensional integrated radial basis function networks (LMLS-1D-IRBFN). The partition of unity method is used to incorporate the moving least square (MLS) and one dimensional-integrated radial basis function (1D-IRBFN) techniques in an approach that leads to sparse system matrices and offers a high level of accuracy as in the case of 1D-IRBFN method. The present method possesses a Kronecker-Delta function property which helps impose the essential boundary condition in an exact manner. The method is first verified by the solution of the two-dimensional Poisson equation in a square domain with a circular hole, then applied to natural convection flow problems. Numerical results obtained are in good agreement with the exact solution and other published results in the literature.},
DOI = {10.3970/cmes.2012.083.275}
}