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A hybrid simulation method for radiative transfer equations

Published online by Cambridge University Press:  09 May 2003

M. JUNK ,
A. UNTERREITER  and
F. ZINGSHEIM
M. JUNK
Affiliation:
Universität Kaiserslautern, D-67663 Kaiserslautern, Germany email: [email protected]
A. UNTERREITER
Affiliation:
TU Berlin, Institut für Mathematik, MA 6-3, 10623 Berlin, Germany email: [email protected]
F. ZINGSHEIM
Affiliation:
LMS Deutschland GmbH, Luxemburger Strasse 7, D-67657 Kaiserslautern, Germany email: [email protected]
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Abstract

We consider heat transfer processes where radiation in a large number of frequency bands plays a dominant role. In the simulation of such processes, the radiative transfer equation has to be solved repeatedly. To obtain an efficient and accurate solution method, we propose a new hybrid algorithm which combines fast solvers for the radiative transfer equation in the low and high absorption regime, respectively. A key role is played by an exact, residual based error formula. The algorithm is applied to a cooling problem of high quality optical glass.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 14 , Issue 2 , April 2003 , pp. 165 - 179
Copyright
2003 Cambridge University Press

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