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ARTICLE
Analysis of Unsteady Heat Transfer Problems with Complex Geometries Using Isogeometric Boundary Element Method
Weihua Fang1, Zhilin An2, Tiantang Yu2, *, Tinh Quoc Bui3, 4, *
1 Nanjing Automation Institute of Water Conservancy and Hydrology, Nanjing, 210012, China.
2 Department of Engineering Mechanics, Hohai University, Nanjing, 211100, China.
3 Institute for Research and Development, Duy Tan University, Da Nang City, Vietnam.
4 Department of Civil and Environmental Engineering, Tokyo Institute of Technology, 2-12-1-W8-22, Ookayama, Meguro-ku, Tokyo 152-8552, Japan.
* Corresponding Authors: Tiantang Yu. Email: ;
Tinh Quoc Bui. Email: .
Computers, Materials & Continua 2020, 62(2), 929-962. https://doi.org/10.32604/cmc.2020.05022
Abstract
Numerical analysis of unsteady heat transfer problems with complex
geometries by the isogeometric boundary element method (IGABEM) is presented. The
IGABEM possesses many desirable merits and features, for instance, (a) exactly
represented arbitrarily complex geometries, and higher-order continuity due to nonuniform rational B-splines (NURBS) shape functions; (b) using NURBS for both field
approximation and geometric description; (c) directly utilizing geometry data from
computer-aided design (CAD); and (d) only boundary discretization. The formulation of
IGABEM for unsteady heat transfer is derived. The domain discretization in terms of
IGABEM for unsteady heat transfer is required as that in traditional BEM. The internal
values however are obtained with the analytical formula according to the values on the
boundaries, and its computations are therefore mainly dependent on the discretization of
the boundaries. The coordinates of internal control points are obtained with the
coordinates of control points on the boundaries using Coons body interpolation method.
The developed approach is tested with several numerical examples from simple to
complicated geometries. Good agreement is gained with reference solutions derived from
either analytical or finite element methods.
Keywords
Cite This Article
W. Fang, Z. An, T. Yu and T. Quoc Bui, "Analysis of unsteady heat transfer problems with complex geometries using isogeometric boundary element method,"
Computers, Materials & Continua, vol. 62, no.2, pp. 929–962, 2020. https://doi.org/10.32604/cmc.2020.05022
Citations