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This article is cited in 11 scientific papers (total in 11 papers)
Mathematical models and computer experiment
A nonlinear method for solving the problems of radiation transfer in medium
D. Yu. Anistratov, E. N. Aristova, V. Ya. Gol'din Institute for Mathematical Modelling, Russian Academy of Sciences
Abstract:
A nonlinear method is described for solving the time-dependent multigroup radiative transfer equation coupled with the energy balance equation. The method is based on the Quasi-Diffusion approach. The idea of this approach is to reduce problem dimension by averaging the equations over angular and energy variables. The functionals weakly depending on the solution of problem are introduced to close equivalently the resulting system of equations. The temperature is determined by solving the linearized energy balance and the efficient grey quasi-diffusion equations. The Frechet derivative of an averaged absorption cross-section with respect to temperature is used to improve the solution of the linearized equations. The one-dimensional geometries are considered. The numerical results are presented to show the efficiency of the proposed method.
Received: 06.07.1995
Citation:
D. Yu. Anistratov, E. N. Aristova, V. Ya. Gol'din, “A nonlinear method for solving the problems of radiation transfer in medium”, Mat. Model., 8:12 (1996), 3–28
Linking options:
https://www.mathnet.ru/eng/mm1646 https://www.mathnet.ru/eng/mm/v8/i12/p3
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Abstract page: | 588 | Full-text PDF : | 291 | First page: | 3 |
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