RUS  ENG
Full version
JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2020 Volume 32, Number 1, Pages 71–84 (Mi mm4148)

Construction of the generalized algorithm of diffuse radiation configuration factors calculation

D. K. Vinokurov

JSC TsNIIMash

Abstract: The construction of the generalized algorithm of diffuse radiation configuration factors (CF) calculation is examined is examined. As the basis of the generalized algorithm are assumed the division of the existing calculating algorithms into two groups (the paired one and the “one to many”), and also the results of the conducted investigation of the possible combinations of grid construction and calculated methods (exact, special, numerical integration, and combined) for average, local and elementary CF. Grid methods are represented as the totality of the object, to which is assigned the grid (surface, contour, solid angle), the type of the grid (there are distinguished 1st and 2nd type grid) and the method of its construction (by determined, statistical, hybrid or hierarchical method). The overall diagram of the application of grid methods in the algorithms of CF calculation is obtained. The generalized algorithm of CF calculation is represented in the form of directed graph, which, essentially, is the generalized block diagram, containing practically all known and possible algorithms of CF calculation. The obtained results can be underlain the software package of CF calculation for the broad task family.

Keywords: mathematic methods, algorithm, configuration factor, radiation heat transfer, illumination, computer graphics.

Received: 01.10.2018
Revised: 24.04.2019
Accepted: 01.07.2019

DOI: 10.20948/mm-2020-01-05


 English version:
Mathematical Models and Computer Simulations, 2020, 12:5, 719–728


© Steklov Math. Inst. of RAS, 2024