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个人信息Personal Information
教授
博士生导师
硕士生导师
任职 : 国家重大专项专家组成员、教育部热防护专业组组长、国际华人计算力学协会理事、中国航空学会理事、中国航空学会强度与设计专业委员会委员、国际边界单元法协会会员、教育部高等学校航空航天类专业教学指导委员会委员
性别：男
毕业院校：Glasgow University
学位：博士
所在单位：力学与航空航天学院
办公地点：海宇楼403A
电子邮箱：xwgao@dlut.edu.cn
A boundary element method without internal cells for solving viscous flow problems
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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.