Abstract
AbstractThis paper presents a new radial basis function network‐boundary integral approach for the analysis of natural convection flow. The use of integral equations (IEs) allows the set of simultaneous unknowns to be confined to the boundary only. In this study, all boundary values including geometries are represented by indirect radial basis function networks (IRBFNs), resulting in an effective boundary element method (BEM) especially for the achievement of high Rayleigh numbers with relatively coarse and uniform meshes. Convergence is obtained up to a Rayleigh number of 1.0e7 in the case of a square cavity using a uniform mesh of 31 × 31 and a Rayleigh number of 5.0e4 in the case of a horizontal concentric annulus using a uniform mesh of 11 × 21. Copyright © 2004 John Wiley & Sons, Ltd.
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