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ICHMT DIGITAL LIBRARY ONLINE

ISSN 961-91393-0-5

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Year 1997

• 1Radiative Transfer II
Proceedings of the Second International Symposium on Radiation Transfer - Kusadasi, Turkey, July, 1997

632 pages

Volume price - $192.00

A NEW COMBINED MONTE CARLO AND R-FUNCTIONS TECHNIQUE IN RADIATIVE TRANSFER PROBLEMS

Vladimir D. Loktionov
Elektrogorsk Research & Engineering Centre on NPP Safety, Elektrogorsk, Moscow Region, 142530, RUSSIA

Sergey V. Timkin
Elektrogorsk Research & Engineering Centre on NPP Safety, Elektrogorsk, Moscow Region, 142530, RUSSIA

Nikolay I. Yaroshenko
Elektrogorsk Research & Engineering Centre on NPP Safety, Elektrogorsk, Moscow Region, 142530, RUSSIA

ABSTRACT

A new combined Monte Carlo and R-functions technique for computer calculation of the radiation view factor is proposed. This technique allows to reduce a computer run time and to improve accuracy in the radiation transfer problems. The prediction accuracy of Monte Carlo-based techniques depends considerably on representation of the boundary geometrical details. It is essential for the complex geometry problems when blocking objects are presented. In present paper we use R-functions (Rvachev functions) for construction of the complex geometrical bodies and to describe the geometric information. Based on the ideas of R-functions theory we can make the judgements about such characteristics of a geometric body as the curvature of its surface and the direction of the normal vector at the arbitrary point of the boundary surface. This approach was implemented in a 2-D computer program to calculate the radiation view factors of complex geometrical objects. This domestic program includes the set of subroutines and realises the R-operations for describing the complex geometrical objects. To demonstrate the usefulness of this technique we have this computer program for the calculation of view factors in the following two-dimensional problems:
— internal radiation problem with complex geometrical black surfaces;
— a heated tube bundle with black and specular surfaces.
The alternative solutions exist for mentioned problems and comparisons of the numerical results with alternative solutions were found satisfactory.