Mathematical modeling and optimization study of urban breezeway planning

With the acceleration of urbanization, the heat island effect has become a major problem affecting the urban environment and residents' quality of life. Reasonable breezeway planning is considered an important means to mitigate the heat island effect. Based on the building layout and meteorological data of a city, this paper establishes a mathematical model of breezeway planning by combining the principle of fluid dynamics and optimization algorithm. The study first constructs a hydrodynamic model of wind speed distribution through data collection and preprocessing, and proposes a model of breezeway based on optimization design. Then, the impact of different building layouts on wind speed and ventilation effect is analyzed through simulation, and the design scheme of the breezeway is optimized. The study shows that the reasonable design of breezeways can significantly improve the urban ventilation efficiency and effectively mitigate the heat island effect. Finally, the case study evaluates the application effect of the optimized scheme in the actual city and puts forward suggestions for future urban planning. The research in this paper provides mathematical model support for the construction of green cities, and offers new ideas for urban environment optimization and climate adaptation.