Author(s)

T. T. Bui & V. Popov

Abstract

A meshless BEM approach has been developed, which has been applied for solution of the Navier-Stokes equations. The approach subdivides the original problem domain in a number of circular sub-domains around nodes used to represent the solution of the problem. Dual reciprocity method has been used to convert the domain integrals into integrals over the boundary of the sub-domains. Six equations are solved in 2D to obtain the solution of the Navier-Stokes equations, of which two are for solving the velocity components, one for pressure and the remaining equations are for solving for stresses. The developed formulation has been tested on the lid-driven cavity problem and the results have been compared to the results of Ghia et al., showing good agreement. Keywords:Meshless method, integral equations, circular sub-domains, radial basis functions, Navier-Stokes equations.

Keywords

Meshless method, integral equations, circular sub-domains, radial basis functions, Navier-Stokes equations