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Fast fourier transform of spectral boundary elements for transient heat conduction

Fast fourier transform of spectral boundary elements for transient heat conduction The spectral boundary element method for solving twodimensionaltransient heat conduction problems is developed. This method is combined withthe fast Fourier transform FFT to convert the solution between the time andfrequency domains. The fundamental solutions in the frequency domain,required for the present method, are discussed. The resulting lineintegrations in the frequency domain are discretized using constant boundaryelements and used in a Fortran boundary element program. Three examples areused to illustrate the accuracy and effectiveness of the method in both thefrequency and time domains. First, the frequency domain solution procedureis verified using the steadystate example of a semiinfinite half space witha heat flux applied to a patch of the surface. This spectral boundary elementmethod is then applied to the problem of a circular hole in an infinite solidsubjected to a timevarying heat flux, and solutions in both the frequencyand time domains are presented. Finally, the method is used to solve thecircular hole problem with a convection boundary condition. The accurary ofthese results leads to the conclusion that the spectral boundary elementmethod in conjunction with the FFT is a viable option for transient problems.In addition, this spectral approach naturally produces frequence domaininformation which is itself of interest. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat and Fluid Flow Emerald Publishing

Fast fourier transform of spectral boundary elements for transient heat conduction

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References (10)

Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0961-5539
DOI
10.1108/EUM0000000004089
Publisher site
See Article on Publisher Site

Abstract

The spectral boundary element method for solving twodimensionaltransient heat conduction problems is developed. This method is combined withthe fast Fourier transform FFT to convert the solution between the time andfrequency domains. The fundamental solutions in the frequency domain,required for the present method, are discussed. The resulting lineintegrations in the frequency domain are discretized using constant boundaryelements and used in a Fortran boundary element program. Three examples areused to illustrate the accuracy and effectiveness of the method in both thefrequency and time domains. First, the frequency domain solution procedureis verified using the steadystate example of a semiinfinite half space witha heat flux applied to a patch of the surface. This spectral boundary elementmethod is then applied to the problem of a circular hole in an infinite solidsubjected to a timevarying heat flux, and solutions in both the frequencyand time domains are presented. Finally, the method is used to solve thecircular hole problem with a convection boundary condition. The accurary ofthese results leads to the conclusion that the spectral boundary elementmethod in conjunction with the FFT is a viable option for transient problems.In addition, this spectral approach naturally produces frequence domaininformation which is itself of interest.

Journal

International Journal of Numerical Methods for Heat and Fluid FlowEmerald Publishing

Published: Sep 1, 1995

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