Development of a meshless Galerkin boundary node method for viscous fluid flows

Xiaolin Li

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 82, issue 2, 258-280

Abstract: In this paper, a meshless Galerkin boundary node method is developed for boundary-only analysis of the interior and exterior incompressible viscous fluid flows, governed by the Stokes equations, in biharmonic stream function formulation. This method combines scattered points and boundary integral equations. Some of the novel features of this meshless scheme are boundary conditions can be enforced directly and easily despite the meshless shape functions lack the delta function property, and system matrices are symmetric and positive definite. The error analysis and convergence study of both velocity and pressure are presented in Sobolev spaces. The performance of this approach is illustrated and assessed through some numerical examples.

Keywords: Meshless; Galerkin boundary node method; Boundary integral equations; Stokes equations; Stream function (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2011:i:2:p:258-280

DOI: 10.1016/j.matcom.2011.07.004

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