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.
Highlights
Almost every technical operate process generate heat during activity duration; it can be active or inactive
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 mentioned other
Applying isogeometric analysis (IGA) to numerical problems lead significant effective results, as represent on above. More important that it can refine the mesh without the connection to the Computer Aided Design (CAD) geometry, it called h-refinement and prefinement and k-refinement, it is very convenient and makes the problem easier
Summary
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. 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 mentioned other. The development of this method decreased the gaps between CAD and mathematical model and increased the continuity of mesh
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