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A HIERARCHY OF APPROXIMATIONS TO THE RADIATIVE HEAT TRANSFER EQUATIONS: MODELLING, ANALYSIS AND SIMULATION

MATTHIAS SCHÄFER

TU Kaiserslautern, Fachbereich Mathematik, Erwin-Schrödinger-Str., 67663 Kaiserslautern, Germany

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MARTIN FRANK

TU Kaiserslautern, Fachbereich Mathematik, Erwin-Schrödinger-Str., 67663 Kaiserslautern, Germany

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, and

RENÉ PINNAU

TU Kaiserslautern, Fachbereich Mathematik, Erwin-Schrödinger-Str., 67663 Kaiserslautern, Germany

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https://doi.org/10.1142/S0218202505000479Cited by:11 (Source: Crossref)

Abstract

We thoroughly investigate a hierarchy of approximations to the radiative heat transfer equations which is intermediate between moment models and the direct solution. We discuss the modelling of this hierarchy, prove well-posedness and physically expected bounds, and show numerical results validating our approach.

Keywords:

AMSC: 85A25, 76M99

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