Time-dependent simplified P{sub N} approximation to the equations of radiative transfer
- TU Kaiserslautern, Fachbereich Mathematik, Erwin-Schroedinger-Str., 67663 Kaiserslautern (Germany)
- Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto 606-8501 (Japan)
The steady-state simplified P{sub N} approximation to the radiative transport equation has been successfully applied to many problems involving radiation. This paper presents the derivation of time-dependent simplified P{sub N} (SP{sub N}) equations (up to N = 3) via two different approaches. First, we use an asymptotic analysis, similar to the asymptotic derivation of the steady-state SP{sub N} equations. Second, we use an approach similar to the original derivation of the steady-state SP{sub N} equations and we show that both approaches lead to similar results. Special focus is put on the well-posedness of the equations and the question whether it can be guaranteed that the solution satisfies the correct physical bounds. Several numerical test cases are shown, including an analytical benchmark due to Su and Olson [B. Su, G.L. Olson, An analytical benchmark for non-equilibrium radiative transfer in an isotropically scattering medium, Ann. Nucl. Energy 24 (1997) 1035-1055.].
- OSTI ID:
- 21028285
- Journal Information:
- Journal of Computational Physics, Vol. 226, Issue 2; Other Information: DOI: 10.1016/j.jcp.2007.07.009; PII: S0021-9991(07)00315-4; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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