Modelling of Road Space in the Design of a New Urbanization

Abstract—The goal of this study is to present a tool that permits to reduce the time of design and to obtain a quantitative assessment of the road space. The model is based on the modelling of the functions and the corresponding spaces into an orthogonal parcel having a planar form. The elaboration of such as tool is a response to the sustainable urban development that preconizes the optimization of land use. The summation of all spaces that compose the parcel defines the surface called plot surface. The space of road into the parcel is a correlation of the shape and of the disposition of the plots, and of the number of plots in the urban Plan. The urban composition is characterized by a mathematical system composed by two equations represented respectively by the urban density and the site coverage ratio. This system is indeterminate because there is one unknown: the building footprint; and one correlation: the plot surface. To solving this problem, it is demanded to use finite difference method. At last, the graphs illustrating the road ratio, the urban features and the software are presented.