Mathematics Tools and its Efficiency on the Building’s Environmental Performance

Abstract

Recently, mathematics has a wide influence on architectural design and performance. It can effectively help in solving design problems and promoting geometrical shapes efficiency. Consequently, the environmental performance has also widely developed with the involving of advanced mathematical branches and computational software. The main aim of the paper is to study the importance of using mathematics in raising the building's environmental performance. Therefore, the research methodology starts by clarifying the mathematics' branches and their application in architecture, then carries out an analysis for different case studies that used mathematics effectively in developing environmental performance. And lastly, apply one of the mathematical optimization techniques on a virtual prototype to illustrate how mathematics can effectively promote the building's environmental efficiency.

The digital transformation toward an integrated design process

“…The main incentives for adopting generative design (GD) systems in architecture are to use computational capabilities to support human designers and (or) automate parts of the design process, Fig (9). Where different generative design techniques used in architectural design that includes: [34] [35] [36] 1-Geometric Design.…”

“…The design team was able to explore and study different design variations whilst considering factors such as aesthetics, drainage, parameters for shading, and structural performance. [34] [56] ➢ Evaluation Due to the integral connection between the geometry and the structure, a very close relationship between the NBBJ design team and the CCDI structural team was essential to successfully coordinate the 3D steel model. A grasshopper algorithm was developed to facilitate the conversion of the geometry into a wireframe structure, compatible with the engineer's analysis tool.…”