Desarrollo de un software para la obtención de factores de vista en geometrías bidimensionales utilizando el método de Monte Carlo.

Abstract

In many problems involving the exchange of energy between two bodies, whether volumes or surfaces, it’s necessary to know the amount of energy leaving an emitting surface and hitting a receiving surface. This energy can be measured as a dimensionless factor, called view factor. In the present work a computational tool (software) is developed to calculate this factor for two-dimensional geometries. The governing equation of this problem is solved by a Monte Carlo method. For the different geometries a geometrical analysis is performed with the position and launch angle of a finite number of beams, i.e., an acceptance or rejection parameter. This parameter is obtained using a free programming language (Python) and with input files with “.svg” extension. The proposed tool reads the files with the mentioned extension, filters and takes the necessary points to proceed to calculate the different angles and positions taken by a given number of rays. For the validation of the model and the obtained tool, 5 cases that have an analytical solution for the calculation of the view factor are compared and an acceptable relative error is obtained. In conclusion, the proposed computational tool (software) provides a way to obtain view factors for a certain type of two-dimensional geometries.