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

Author

Listed:
  • Francisco Salguero-Andújar

    (School of Engineering, University of Huelva, Campus de El Carmen, 21007 Huelva, Spain)

  • Joseph-Maria Cabeza-Lainez

    (Higher Technical School of Architecture, University of Seville, 41012 Seville, Spain)

Abstract

Diverse problems of radiative transfer remain as yet unsolved due to the difficulties of the calculations involved, especially if the intervening shapes are geometrically complex. The main goal of our investigation in this domain is to convert the equations that were previously derived into a graphical interface based on the projected solid-angle principle. Such a procedure is now feasible by virtue of several widely diffused programs for Algorithms Aided Design (AAD). Accuracy and reliability of the process is controlled in the basic examples by means of subroutines from the analytical software DianaX, developed at an earlier stage by the authors, though mainly oriented to closed cuboidal or curved volumes. With this innovative approach, the often cumbersome calculation procedure of lighting, thermal or even acoustic energy exchange can be simplified and made available for the neophyte, with the undeniable advantage of reduced computer time.

Suggested Citation

  • Francisco Salguero-Andújar & Joseph-Maria Cabeza-Lainez, 2020. "New Computational Geometry Methods Applied to Solve Complex Problems of Radiative Transfer," Mathematics, MDPI, vol. 8(12), pages 1-25, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2176-:d:457644
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    References listed on IDEAS

    as
    1. Francisco Salguero Andujar & Inmaculada Rodriguez-Cunill & Jose M. Cabeza-Lainez, 2019. "The Problem of Lighting in Underground Domes, Vaults, and Tunnel-Like Structures of Antiquity; An Application to the Sustainability of Prominent Asian Heritage (India, Korea, China)," Sustainability, MDPI, vol. 11(20), pages 1-21, October.
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