Multi-region heat conduction problems by boundary element method

This paper is concerned with boundary element solution of two dimensional steady-state heat conduction problems in multi-regions. In the proposed method, each region with different heat transfer properties is considered as a piecewise homogeneous in a heterogeneous system. The solution scheme akin t...

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Published in:	International journal of heat and mass transfer Vol. 47; no. 6; pp. 1549 - 1553
Main Authors:	Atalay, M.Akif, Aydin, E.Dilara, Aydin, Murat
Format:	Journal Article
Language:	English
Published:	Oxford Elsevier Ltd 01.03.2004 Elsevier
Subjects:	Analytical and numerical techniques Exact sciences and technology Fundamental areas of phenomenology (including applications) Heat conduction Heat transfer Physics Temperature distribution Algorithms Composite materials Digital simulation Matrix calculus Boundary element method Thermal conduction
ISSN:	0017-9310, 1879-2189
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Abstract	This paper is concerned with boundary element solution of two dimensional steady-state heat conduction problems in multi-regions. In the proposed method, each region with different heat transfer properties is considered as a piecewise homogeneous in a heterogeneous system. The solution scheme akin to a finite difference method or finite element method sweeping treatment is adopted. The generated integral equation for a typical region is swept to obtain the system matrix for all regions in a single step without considering compatibility conditions explicitly at interfaces. In the case of linear or higher order elements, the non-square global system matrix is solved by the singular value decomposition method. Multi-region test problems for square and circular domains are considered and numerical results are presented.
AbstractList	This paper is concerned with boundary element solution of two dimensional steady-state heat conduction problems in multi-regions. In the proposed method, each region with different heat transfer properties is considered as a piecewise homogeneous in a heterogeneous system. The solution scheme akin to a finite difference method or finite element method sweeping treatment is adopted. The generated integral equation for a typical region is swept to obtain the system matrix for all regions in a single step without considering compatibility conditions explicitly at interfaces. In the case of linear or higher order elements, the non-square global system matrix is solved by the singular value decomposition method. Multi-region test problems for square and circular domains are considered and numerical results are presented.
Author	Atalay, M.Akif Aydin, E.Dilara Aydin, Murat
Author_xml	– sequence: 1 givenname: M.Akif surname: Atalay fullname: Atalay, M.Akif organization: Institute for Nuclear Energy, Istanbul Technical University, Ayazaga Campus, 80626 Maslak, Istanbul, Turkey – sequence: 2 givenname: E.Dilara surname: Aydin fullname: Aydin, E.Dilara email: atalay@nukleer.itu.edu.tr organization: Faculty of Arts and Sciences, Canakkale Onsekiz Mart University, Terzioglu Campus, 17100 Canakkale, Turkey – sequence: 3 givenname: Murat surname: Aydin fullname: Aydin, Murat organization: Institute for Nuclear Energy, Istanbul Technical University, Ayazaga Campus, 80626 Maslak, Istanbul, Turkey
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Keywords	Temperature distribution Algorithms Composite materials Digital simulation Matrix calculus Boundary element method Thermal conduction
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Title	Multi-region heat conduction problems by boundary element method
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