A 3D optimal control problem related to the urban heat islands

Fernández, Francisco Javier; Álvarez-Vázquez, Lino J.; Martínez, A.; Vázquez-Méndez, Miguel E.

doi:10.1016/j.jmaa.2016.09.048

Cited by 5 publications

(3 citation statements)

References 27 publications

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“…FreeFem++ is especially useful for researchers because it combines considerable calculating power with flexibility and the transparency of its open source code. As a result, it has given rise to an internet community of developers of the program who tend to be researchers working on numerical simulations [26,27]. One of the big advantages of FreeFem++ is that it can be used as a high-level programming language based on C++, enabling combinations of high-level FreeFem++ commands with C++ commands to develop one's own codes.…”

Section: Freefem++mentioning

confidence: 99%

“…Our study develops a method for improving that shortcoming, thus making FreeFem++ an optimal tool for resolving this type of problem. simulations [26,27]. One of the big advantages of FreeFem++ is that it can be used as a high-level programming language based on C++, enabling combinations of high-level FreeFem++ commands with C++ commands to develop one's own codes.…”

Section: Freefem++mentioning

confidence: 99%

“…This offers considerable flexibility for developing simulation codes which in many cases cannot be done with commercial codes. In addition, FreeFem++ commands allow compact programming of different methods with finite elements regardless of the study problem, which means that it is highly versatile and eminently suitable for tackling problems involving thermodynamics and fluid mechanics [27]. The software is also often used in research for pre-and post-processing simulations.…”

Section: Freefem++mentioning

confidence: 99%

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Exploring the Interplay between CAD and FreeFem++ as an Energy Decision-Making Tool for Architectural Design

et al. 2018

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The energy modelling software tools commonly used for architectural purposes do not allow a straightforward real-time implementation within the architectural design programs. In addition, the surrounding exterior spaces of the building, including the inner courtyards, hardly present a specific treatment distinguishing these spaces from the general external temperature in the thermal simulations. This is a clear disadvantage when it comes to streamlining the design process in relation to the whole-building energy optimization. In this context, the present study aims to demonstrate the advantages of the FreeFem++ open source program for performing simulations in architectural environments. These simulations include microclimate tests that describe the interactions between a building architecture and its local exterior. The great potential of this mathematical tool can be realized through its complete system integration within CAD (Computer-Aided Design) software such as SketchUp or AutoCAD. In order to establish the suitability of FreeFem++ for the performance of simulations, the most widely employed energy simulation tools able to consider a proposed architectural geometry in a specific environment are compared. On the basis of this analysis, it can be concluded that FreeFem++ is the only program displaying the best features for the thermal performance simulation of these specific outdoor spaces, excluding the currently unavailable easy interaction with architectural drawing programs. The main contribution of this research is, in fact, the enhancement of FreeFem++ usability by proposing a simple intuitive method for the creation of building geometries and their respective meshing (pre-processing). FreeFem++ is also considered a tool for data analysis (post-processing) able to help engineers and architects with building energy-efficiency-related tasks.

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Section: Freefem++mentioning

confidence: 99%

Section: Freefem++mentioning

confidence: 99%

Section: Freefem++mentioning

confidence: 99%

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Exploring the Interplay between CAD and FreeFem++ as an Energy Decision-Making Tool for Architectural Design

et al. 2018

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

Álvarez-Vázquez

Fernández

Martínez

et al. 2019

Lecture Notes in Computational Science and Engineering

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Mathematical analysis and numerical resolution of a heat transfer problem arising in water recirculation

Fernández

Álvarez-Vázquez

Martínez

2020

Journal of Computational and Applied Mathematics

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This work is devoted to the analysis and resolution of a well-posed mathematical model for several processes involved in the artificial circulation of water in a large waterbody. This novel formulation couples the convective heat transfer equation with the modified Navier-Stokes system following a Smagorinsky turbulence model, completed with a suitable set of mixed, nonhomogeneous boundary conditions of diffusive, convective and radiative type. We prove several theoretical results related to existence of solution, and propose a full algorithm for its computation, illustrated with some realistic numerical examples.

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A 3D optimal control problem related to the urban heat islands

Cited by 5 publications

References 27 publications

Exploring the Interplay between CAD and FreeFem++ as an Energy Decision-Making Tool for Architectural Design

Exploring the Interplay between CAD and FreeFem++ as an Energy Decision-Making Tool for Architectural Design

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

Mathematical analysis and numerical resolution of a heat transfer problem arising in water recirculation

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