Advertisement

Urban Heat Island Effect in Metropolitan Areas: An Optimal Control Perspective

  • Lino J. Alvarez-VázquezEmail author
  • Francisco J. Fernández
  • Aurea Martínez
  • Miguel E. Vázquez-Méndez
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 126)

Abstract

This work combines numerical modelling, optimization techniques, and optimal control theory of partial differential equations in order to analyze the mitigation of the urban heat island (UHI) effect, which is a very usual environmental phenomenon where the metropolitan areas present a significantly warmer temperature than their surrounding areas, mainly due to the consequences of human activities. At the present time, UHI is considered as one of the major environmental problems in the twenty-first century (undesired result of urbanization and industrialization). Mitigation of the UHI effect can be achieved by using green roofs/walls and lighter-coloured surfaces in urban areas, or (as will be addressed in this study) by setting new green zones inside the city. In order to study the problem, we introduce a well-posed mathematical formulation of the environmental problem (related to the optimal location of green zones in metropolitan areas), we give a numerical algorithm for its resolution, and finally we discuss several numerical results for several realistic 3D examples.

Notes

Acknowledgements

This work was supported by funding from project MTM2015-65570-P of MINECO (Spain) and FEDER.

References

  1. 1.
    A.J. Arnfield, Two decades of urban climate research: a review of turbulence, exchanges of energy and water, and the urban heat island. Int. J. Climatol. 23, 1–26 (2003)CrossRefGoogle Scholar
  2. 2.
    A. Martos, R. Pacheco-Torres, J. Ordóñez, E. Jadraque-Gago, Towards successful environmental performance of sustainable cities: intervening sectors. A review. Renew. Sustain. Energy Rev. 57, 479–495 (2016)CrossRefGoogle Scholar
  3. 3.
    F.J. Fernández, L.J. Alvarez-Vázquez, N. García-Chan, A. Martínez, M.E. Vázquez-Méndez, Optimal location of green zones in metropolitan areas to control the urban heat island. J. Comput. Appl. Math. 289, 412–425 (2015)MathSciNetCrossRefGoogle Scholar
  4. 4.
    F.J. Fernández, L.J. Alvarez-Vázquez, A. Martínez and M. E. Vázquez-Méndez, A 3D optimal control problem related to the urban heat islands. J. Math. Anal. Appl. 446, 1571–1605 (2017)MathSciNetCrossRefGoogle Scholar
  5. 5.
    N. García-Chan, L.J. Alvarez-Vázquez, A. Martínez, M.E. Vázquez-Méndez, On optimal location and management of a new industrial plant: numerical simulation and control. J. Franklin Inst. 351, 1356–1371 (2014)CrossRefGoogle Scholar
  6. 6.
    F. Hecht, New development in Freefem++. J. Numer. Math. 20, 251–265 (2012)MathSciNetCrossRefGoogle Scholar
  7. 7.
    A. Wächter, L.T. Biegler, On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming. Math. Program. 106, 25–57 (2006)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Lino J. Alvarez-Vázquez
    • 1
    Email author
  • Francisco J. Fernández
    • 2
  • Aurea Martínez
    • 1
  • Miguel E. Vázquez-Méndez
    • 3
  1. 1.Universidade de VigoVigoSpain
  2. 2.Universidade de Santiago de CompostelaSantiagoSpain
  3. 3.Universidade de Santiago de CompostelaLugoSpain

Personalised recommendations