IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i12p2176-d457644.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/12/2176/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/12/2176/
    Download Restriction: no
    ---><---

    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lattapon Tayhuadong & Vorapat Inkarojrit, 2024. "Lighting Design for Lanna Buddhist Architecture: A Case Study of Suan Dok Temple, Chiang Mai, Thailand," Sustainability, MDPI, vol. 16(17), pages 1-33, August.
    2. Antonio Peña-García & Ferdinando Salata, 2020. "The Perspective of Total Lighting as a Key Factor to Increase the Sustainability of Strategic Activities," Sustainability, MDPI, vol. 12(7), pages 1-8, April.
    3. Joseph Cabeza-Lainez, 2024. "New Geometric Theorems Derived from Integral Equations Applied to Radiative Transfer in Spherical Sectors and Circular Segments," Mathematics, MDPI, vol. 12(18), pages 1-36, September.
    4. Inmaculada Rodriguez-Cunill & Miguel Gutierrez-Villarrubia & Francisco Salguero-Andujar & Joseph Cabeza-Lainez, 2021. "Sustainability in Early Modern China through the Evolution of the Jesuit Accommodation Method," Sustainability, MDPI, vol. 13(21), pages 1-25, October.
    5. Santiago Quesada-García & Pablo Valero-Flores & David Mendoza-Alvarez & Joseph Cabeza-Lainez, 2022. "Cognitive Accessibility in Rural Heritage: A New Proposal for the Archaeological Landscape of Castulo," Sustainability, MDPI, vol. 14(18), pages 1-22, September.
    6. Joseph Cabeza-Lainez & Jose-Manuel Almodovar-Melendo & Inmaculada Rodríguez-Cunill, 2022. "The Search for Sustainable Architecture in Asia in the Oeuvre of Antonin Raymond: A New Attunement with Nature," Sustainability, MDPI, vol. 14(16), pages 1-22, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2176-:d:457644. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.