New Frequency-Averaged Approximations to the Equations of Radiative Heat Transfer

Autor:	Axel Klar, Edward W. Larsen, Guido Thömmes
Rok vydání:	2004
Předmět:	Asymptotic analysis Thermal radiation Applied Mathematics Mathematical analysis Radiative transfer Thermodynamics Diffusion (business) Mathematics
Zdroj:	SIAM Journal on Applied Mathematics. 64:565-582
ISSN:	1095-712X 0036-1399
DOI:	10.1137/s0036139902413842
Popis:	We develop new direction- and frequency-averaged approximations to the equations of radiative heat transfer in glass for optically thick, diffusive regimes. These approximations, which are based on the $\rm SP_N$ approach given in [E. Larsen, G. Thommes, A. Klar, M. Seaid, and T. Gotz, J. Comput. Phys. 83 (2002), pp. 652--675], represent asymptotic corrections to the familiar Rosseland, or equilibrium diffusion, approximation. Numerical results for realistic problems in the simulation of radiative heat transfer in glass cooling confirm the accuracy and efficiency of the new approximations.
Databáze:	OpenAIRE
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