TY  - EJOU
AU  - Ngo-Cong, D.  
AU  - Mai-Duy, N.  
AU  - Karunasena, W.  
AU  - Tran-Cong, T.  

TI  - Local Moving Least Square - One-Dimensional IRBFN Technique: Part I - Natural Convection Flows in Concentric and Eccentric Annuli
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2012
VL  - 83
IS  - 3
SN  - 1526-1506

AB  - 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.
KW  - Natural convection
KW  -  concentric annulus
KW  -  eccentric annulus
KW  -  integrated radial basis functions
KW  -  moving least square
KW  -  partition of unity; Cartesian grids

DO  - 10.3970/cmes.2012.083.275