Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

New Computational Geometry Methods Applied to Solve Complex Problems of Radiative Transfer

Version 1 : Received: 2 December 2020 / Approved: 3 December 2020 / Online: 3 December 2020 (13:05:02 CET)

A peer-reviewed article of this Preprint also exists.

Salguero-Andújar, F.; Cabeza-Lainez, J.M. New Computational Geometry Methods Applied to Solve Complex Problems of Radiative Transfer. Mathematics 2020, 8, 2176. Salguero-Andújar, F.; Cabeza-Lainez, J.M. New Computational Geometry Methods Applied to Solve Complex Problems of Radiative Transfer. Mathematics 2020, 8, 2176.

Journal reference: Mathematics 2020, 8, 2176
DOI: 10.3390/math8122176

Abstract

Several problems of radiative transfer are yet unsolved because of the difficulties of the calculations involved in them, especially if the intervening shapes are geometrically complex. The main goal of our investigation in this domain is to convert the formulas that were previously derived, into a graphical interface based on the projected solid-angle principle. Such procedure is now feasible by virtue of several widely diffused programs for Algorithms Aided Design (AAD). Accuracy and reliability of the process is controlled by means of the analytical software DianaX developed at an earlier stage by the authors. With this new approach the often cumbersome procedure of lighting and thermal exchange calculations can be simplified and made available for the neophyte, with the undeniable advantage of reduced computer time.

Subject Areas

mathematics applied to lighting and radiative transfer; configuration factors; computational geometry; parametric design; new solutions for equations of geometric optics; numerical computation of quadruple integrals.

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