×

Urban heat island effect in metropolitan areas: an optimal control perspective. (English) Zbl 1425.90144

Radu, Florin Adrian (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 126, 829-837 (2018).
Summary: 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.
For the entire collection see [Zbl 1411.65009].

MSC:

90C90 Applications of mathematical programming
80M50 Optimization problems in thermodynamics and heat transfer
49M37 Numerical methods based on nonlinear programming
90C11 Mixed integer programming
65K10 Numerical optimization and variational techniques
91B76 Environmental economics (natural resource models, harvesting, pollution, etc.)
80A20 Heat and mass transfer, heat flow (MSC2010)
65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
93C20 Control/observation systems governed by partial differential equations
76D05 Navier-Stokes equations for incompressible viscous fluids
PDFBibTeX XMLCite
Full Text: DOI