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Published in:
2013 | OriginalPaper | Chapter
Improvements of the Methods of Radiation Fields Numerical Modeling on the Basis of Mirror Reflection Principle
Author : Oleg I. Smokty
Published in: Computational Science and Its Applications – ICCSA 2013
Publisher: Springer Berlin Heidelberg
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Fundamental properties of the angular-spatial symmetry of radiation fields in the uniform slab of a finite optical thickness are used for improvement of the numerical methods and algorithms of the classical radiative transfer theory. A new notion of so called photometrical invariants is introduced. The basic boundary-value problem of the radiative transfer theory is reformulated in new terms for the subsequent simplification of algorithms of numerical modeling methods such as spherical harmonics, discrete ordinates, Gauss-Seidel and Case methods. This simplification leads to two-fold decrease of the ranks of linear algebraic equations with simultaneous reduction of numerical modeling intervals connected with angular and spatial variables.