IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i23p4737-d1285893.html
   My bibliography  Save this article

Optimal Control Strategies for Mitigating Urban Heat Island Intensity in Porous Urban Environments

Author

Listed:
  • Nacer Sellila

    (IFSTTAR Marne la Vallée, Université Gustave Eiffel, 5 Boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée Cedex 2, France)

  • Mohammed Louaked

    (Laboratoire de Mathématiques Nicolas Oresme, Université de Caen, Campus II, Bd. Maréchal Juin, B.P. 5186, 14032 Caen, France)

  • Waleed Mouhali

    (ECE-Paris Engineering School, LyRIDS, 37 Quai de Grenelle, CS-71520, 75015 Paris, France)

  • Houari Mechkour

    (ECE-Paris Engineering School, LyRIDS, 37 Quai de Grenelle, CS-71520, 75015 Paris, France)

Abstract

This work is intended as an attempt to explore the use of optimal control techniques for designing green spaces and for dealing with the environmental problems related to urban heat islands appearing in cities. A three-dimensional model is established for numerical studies of the effects of urban anthropogenic heat and wind velocity in urban and rural regions. The transport mechanism of fluid in the cities is governed by the Navier–Stokes–Forschheimer porous media system. We introduce the penalty approximation method to overcome the difficulty induced by the incompressibility constraint. The partial differential equation optimal control problem is solved by using a Spectral Projected Gradient algorithm. To validate the method, we implement a numerical scheme, based on a finite element method, employing the free software FreeFem++ 14.3. We show the results for the optimized and non-optimized situations to compare the two cases.

Suggested Citation

  • Nacer Sellila & Mohammed Louaked & Waleed Mouhali & Houari Mechkour, 2023. "Optimal Control Strategies for Mitigating Urban Heat Island Intensity in Porous Urban Environments," Mathematics, MDPI, vol. 11(23), pages 1-17, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:23:p:4737-:d:1285893
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/23/4737/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/23/4737/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tingzhen Ming & Shengnan Lian & Yongjia Wu & Tianhao Shi & Chong Peng & Yueping Fang & Renaud de Richter & Nyuk Hien Wong, 2021. "Numerical Investigation on the Urban Heat Island Effect by Using a Porous Media Model," Energies, MDPI, vol. 14(15), pages 1-23, August.
    2. Néstor García-Chan & Juan A. Licea-Salazar & Luis G. Gutierrez-Ibarra, 2023. "Urban Heat Island Dynamics in an Urban–Rural Domain with Variable Porosity: Numerical Methodology and Simulation," Mathematics, MDPI, vol. 11(5), pages 1-18, February.
    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. Néstor García-Chan & Juan A. Licea-Salazar & Luis G. Gutierrez-Ibarra, 2023. "Urban Heat Island Dynamics in an Urban–Rural Domain with Variable Porosity: Numerical Methodology and Simulation," Mathematics, MDPI, vol. 11(5), pages 1-18, February.
    2. Talha Batuhan Korkut & Ahmed Rachid, 2024. "Numerical Investigation of Interventions to Mitigate Heat Stress: A Case Study in Dubai," Energies, MDPI, vol. 17(10), pages 1-17, May.

    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:11:y:2023:i:23:p:4737-:d:1285893. 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.