tailieunhanh - An isogeometric analysis approach for twodimensional steady state heat transfer problems

The purpose of this article is studied the application of isogeometric analysis (IGA) to two-dimensional steady state heat transfer problems in a heat sink. By using high order basis functions, NURBS basis functions, IGA is a high rate convergence approach in comparison to a traditional Finite Element Method. | SCIENCE & TECHNOLOGY DEVELOPMENT, Vol 18, 2015 An isogeometric analysis approach for twodimensional steady state heat transfer problems Le Tuan Em Nguyen Duy Khuong Vu Cong Hoa Ho Chi Minh city University of Technology, VNU-HCM (Manuscript Received on August 01st, 2015, Manuscript Revised August 27th, 2015) ABSTRACT: The purpose of this article is studied the application of isogeometric analysis (IGA) to two-dimensional steady state heat transfer problems in a heat sink. By using high order basis functions, NURBS basis functions, IGA is a high rate convergence approach in comparison to a traditional Finite Element Method. Moreover, the development of this method decreased the gaps between CAD and mathematical model and increased the continuity of mesh. Key words: iga, heat transfer, nurbs 1. INTRO DUCTIO N Almost every technical operate process generate heat during activity duration; it can be active or inactive. In case of parts work in high temperature conditions, the size, material and other relative parameters must be optimized so that they can avoid destroying, and heat which generate unnecessary needed to effectively diffused [1, 2]. It is an importance and necessity for heat transfer problems in techniques and industries, and it is interested in science and engineering communities. The heat transfer problems have solved by many different methods, like Finite Element Method [3], meshless method [4], or Finite Pointset Method for simulating heat transfer involving a moving source [5], even Analytical Solution. In this study, we focus on the introduction of the basic concept of isogeometric analysis using B-spline basis functions for heat transfer problems and discuss the accuracy of this method also mentioned other. Trang 164 Isogeometric analysis (IGA) was introduced in [6] and has developed since 2005. Because of the existing gaps between Computer Aided Design (CAD) and the Finite Element Analysis (FEA), IGA was coined. The .