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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Bibliographic Details
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
Online Access:Get full text
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Summary: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.
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ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2003.03.002