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论文类型：期刊论文

发表时间：2013-02-01

发表刊物：ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

收录刊物：SCIE、EI

卷号：37

期号：2

页面范围：293-300

ISSN号：0955-7997

关键字：Viscous flow; Navier-Stokes equations; Boundary element method; Radial integration method; Domain integrals

摘要：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.