Wavelets in the Solution of Nongray Radiative Heat Transfer Equation-Reference-Cited by-同舟云学术

Wavelets in the Solution of Nongray Radiative Heat Transfer Equation

Published:1998-02-01 Issue:1 Volume:120 Page:133-139
ISSN:0022-1481
Container-title:Journal of Heat Transfer
language:en
Short-container-title:

Author:

Bayazitoglu Y.¹,Wang B. Y.¹

Affiliation:

1. Department of Mechanical Engineering and Materials Science, Rice University, 6100 South Main Street, Houston, TX 77005

Abstract

The wavelet basis functions are introduced into the radiative transfer equation in the frequency domain. The intensity of radiation is expanded in terms of Daubechies’ wrapped-around wavelet functions. It is shown that the wavelet basis approach to modeling nongrayness can be incorporated into any solution method for the equation of transfer. In this paper the resulting system of equations is solved for the one-dimensional radiative equilibrium problem using the P-N approximation.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Link

http://asmedigitalcollection.asme.org/heattransfer/article-pdf/120/1/133/5759587/133_1.pdf

Reference18 articles.

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2. Crosbie A. L. , and ViskantaR., 1970, “Nongray Radiative Transfer in a Planar Medium Exposed to a Collimated Flux,” Journal Quantitative Spectroscopy Radiation Transfer, Vol. 10, pp. 465–485.

3. Daubechies, I., 1992, Ten Lectures on Wavelets, SIAM, Philadelphia, PA.

4. Donoho D. L. , 1993, “Unconditional Bases Are Optimal Bases for Data Compression and for Statistical Estimation,” Applied and Computational Harmonic Analysis, Vol. 1 No. 1, pp. 100–115.

5. Dwight, H. B., 1961, Tables of Integrals and Other Mathematical Data, 4th ed., The Macmillan Company, New York.

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