A meshless BEM for isotropic heat conduction problems with heat generation and spatially varying conductivity

In this paper, a new and simple boundary‐domain integral equation is presented for heat conduction problems with heat generation and non‐homogeneous thermal conductivity. Since a normalized temperature is introduced to formulate the integral equation, temperature gradients are not involved in the do...

Full description

Saved in:
Bibliographic Details
Published inInternational journal for numerical methods in engineering Vol. 66; no. 9; pp. 1411 - 1431
Main Author Gao, Xiao-Wei
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 28.05.2006
Wiley
Subjects
Analytical and numerical techniques
Boundaries
boundary element method
Computational techniques
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat conduction
Heat generation
heat generation rate
Heat transfer
Integral equations
Integrals
Mathematical analysis
Mathematical methods in physics
Mathematical models
meshless method
non-homogeneous media
Physics
Thermal conductivity
Heat sources
Laplace equations
non-homogeneous media
Heat equation
Temperature gradients
heat conduction
Boundary integral method
Green function
Polynomial function
Homogeneous medium
heat generation rate
Integral equations
Meshless method
Thermal conductivity
Modelling
Boundary element method
Heat transfer
Thermal conduction
Online AccessGet full text

Cover

More Information
Summary:In this paper, a new and simple boundary‐domain integral equation is presented for heat conduction problems with heat generation and non‐homogeneous thermal conductivity. Since a normalized temperature is introduced to formulate the integral equation, temperature gradients are not involved in the domain integrals. The Green's function for the Laplace equation is used and, therefore, the derived integral equation has a unified form for different heat generations and thermal conductivities. The arising domain integrals are converted into equivalent boundary integrals using the radial integration method (RIM) by expressing the normalized temperature using a series of basis functions and polynomials in global co‐ordinates. Numerical examples are given to demonstrate the robustness of the presented method. Copyright © 2005 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-6HPMV543-T
istex:327DBC20F090B918A6AC04903F1FDDE69F67FA84
ArticleID:NME1602
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ObjectType-Article-1
ObjectType-Feature-2
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.1602