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

详细信息    查看全文

• 作者：F.J. Ferná ; ndez^a ; ^{fjavier.fernandez@cud.uvigo.es" class="auth_mail" title="E-mail the corresponding author} ; L.J. Alvarez-Vá ; zquez^b ; ^{lino@dma.uvigo.es" class="auth_mail" title="E-mail the corresponding author} ; A. Martí ; nez^b ; ^{aurea@dma.uvigo.es" class="auth_mail" title="E-mail the corresponding author} ; M.E. Vá ; zquez-Mé ; ndez^c ; ^{miguelernesto.vazquez@usc.es" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Urban heat island ; Green zones ; Optimal control ; Numerical modelling
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：446
• 期：2
• 页码：1571-1605
• 全文大小：2727 K

文摘

Within the framework of numerical simulation and optimal control of partial differential equations, in this work we deal with the mathematical modelling and control of the processes related to the urban heat island effect. In particular, we are interested in finding the optimal locations of green zones inside metropolitan areas in order to mitigate the consequences of this harmful phenomenon. So, we consider a three-dimensional climate model and formulate a constrained optimal control problem, that is extensively analyzed in the first part of the paper. Then, we propose a complete numerical algorithm for its resolution, interfacing the interior point algorithm IPOPT with the FreeFem++ software package. Finally, we present several numerical tests for a simple realistic case, where the advantages of our approach are shown.