Radial integration boundary element method for heat conduction problems with convective heat transfer boundary

A new boundary domain integral equation with convective heat transfer boundary is presented to solve variable coefficient heat conduction problems. Green's function for the Laplace equation is used to derive the basic integral equation with varying heat conductivities, and as a result, domain i...

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Bibliographic Details
Published in:Numerical heat transfer. Part B, Fundamentals Vol. 72; no. 4; pp. 300 - 310
Main Authors: Wang, Jing, Peng, Hai-Feng, Yang, Kai, Yin, Yan-Xin, Gao, Xiao-Wei
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis 03.10.2017
Taylor & Francis Ltd
Subjects:
Basis functions
Boundary element method
Conduction heating
Conductive heat transfer
Convective heat transfer
Green's functions
Integral equations
Laplace equation
Mathematical analysis
Radial basis function
ISSN:1040-7790, 1521-0626
Online Access:Get full text
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Summary:A new boundary domain integral equation with convective heat transfer boundary is presented to solve variable coefficient heat conduction problems. Green's function for the Laplace equation is used to derive the basic integral equation with varying heat conductivities, and as a result, domain integrals are included in the derived integral equations. The existing domain integral is converted into an equivalent boundary integral using the radial integration method by expressing the normalized temperature as a series of radial basis functions. This treatment results in a pure boundary element analysis algorithm and requires no internal cells to evaluate the domain integral. Numerical examples are presented to demonstrate the accuracy and efficiency of the present method.
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ISSN:1040-7790
1521-0626
DOI:10.1080/10407790.2017.1394125