Title of Paper:A boundary element method without internal cells for solving viscous flow problems

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Date of Publication:2013-02-01

Journal:ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Included Journals:SCIE、EI

Volume:37

Issue:2

Page Number:293-300

ISSN No.:0955-7997

Key Words:Viscous flow; Navier-Stokes equations; Boundary element method; Radial integration method; Domain integrals

Abstract:In this paper, a new boundary element method without internal cells is presented for solving viscous flow problems, based on the radial integration method (RIM) which can transform any domain integrals into boundary integrals. Due to the presence of body forces, pressure term and the non-linearity of the convective terms in Navier-Stokes equations, some domain integrals appear in the derived velocity and pressure boundary-domain integral equations. The body forces induced domain integrals are directly transformed into equivalent boundary integrals using RIM. For other domain integrals including unknown quantities (velocity product and pressure), the transformation to the boundary is accomplished by approximating the unknown quantities with the compactly supported fourth-order spline radial basis functions combined with polynomials in global coordinates. Two numerical examples are given to demonstrate the validity and effectiveness of the proposed method. (C) 2012 Elsevier Ltd. All rights reserved.