Isogeometric Analysis of Heat Transfer in Fluids

摘要：

This paper is devoted to the numerical simulation of heat transfer in fluids. We develop a numerical formulation based on isogeometric analysis that permits straightforward construction of higher order smooth NURBS approximation. Firstly, we introduce the partial differential equation (PDE) which servers as basis for the whole paper. Then, we introduce Lagrange multiplier method to deal with essentional boundary contions accroding to the nature of NURBS basis function. After getting the Equivalent integral equation, the isogeometric solving format is established based on the idea of isoparametric which is the necessary fundamentals of Isogeometric Analysis. We also discuss the programming algorithm of isogeometric analysis based on Matlab. Finally, a numerical example in two dimensions is presented that illustrate the effectiveness and robustness of our approach.

关键词： Isogeometric analysis Heat transfer in fluids NURBS approximation Matlab

作者: Wen Lei ZHANG Rong MO Neng WAN Qin ZHANG

作者单位: Mailbox 523, NPU, 127 Youyi Xilu, Xian Shaanxi 710072, P.R.China Mailbox 552, NPU, 127 Youyi Xilu, Xian Shaanxi 710072, P.R.China

会议类型: 国际会议

会议名称: 2011 International Conference on Vibration,Structural Engineering and Measurement(2011年振动、结构工程与测量国际会议 ICVSEM 2011)

会议地点: 上海

会议语种:英文

页码: 2174-2178

在线出版日期: 2011-10-21（万方平台首次上网日期，不代表论文的发表时间）