Efficient numerical methods for radiation in gas turbines

Authors:
M. Seaïd;M. Frank;A. Klar;R. Pinnau;G. Thömmes
Affiliations:
Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstr. 8, D-64289 Darmstadt, Germany;Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstr. 8, D-64289 Darmstadt, Germany;Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstr. 8, D-64289 Darmstadt, Germany;Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstr. 8, D-64289 Darmstadt, Germany;Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstr. 8, D-64289 Darmstadt, Germany
Venue:
Journal of Computational and Applied Mathematics
Year:
2004

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Abstract

Numerical methods for radiative heat transfer equations coupled to a temperature equation are considered. Efficient solution methods and approximate equations for this system are investigated and a comparative numerical study of the different approximations is given. The approximate equations considered in this paper include moment methods and diffusive approximations. Fast iterative solvers for the problem like multilevel methods with suitable preconditioning are considered in detail. Numerical experiments and comparisons in different space dimensions and for various physical situations are presented.