Numerical Sensitivity and View Factor Calculation Using the Monte Carlo Method

Abstract

In radiative heat transfer simulations, the geometrical view (configuration, form) factor plays a crucial role. Several different methods (deterministic and non-deterministic) such as integration, the Monte Carlo method, and the Hemi-Cube method have been introduced to calculate view factors in recent years. In this article, the Monte Carlo method combined with the finite-element (FE) technique is investigated. Results describing the relationships among different discretization schemes, number of rays used for the view factor calculation, CPU time, accuracy, and two origins of emanating rays are presented. The interesting case where reduced accuracy is obtained with increased refinement of FE mesh is discussed.

Keywords

view factor radiative heat transfer Monte Carlo method

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