A mathematical method for the turbulent behavior of crowds using agent particles

[摘要] Among the people moving as a group there appear social and psychological forces together with physical forces such as friction and resistance. With the definition that the field of the crowd is the region of those forces continuously extending with varying strength, and with the pre-requisite that the spatial distribution of the crowd, i.e., the distribution of the field, varies according to the hydrodynamic rule by the Navier-Stokes equation, a methodology was proposed to describe the behavior of the crowd composed of many agent particles as the movement of a compressible, turbulent fluid. A numerical calculation was exemplified for the dynamic behavior and spatial distribution of crowds during movements when there appears a conflict between groups with different characters, imaging for instance the medieval battle of Breitenfeld.

[发布机构] Institute of Science and Technology for Society, Urayasu, Chiba; 2790012, Japan^1

[效力级别] 数学

[关键词] Dynamic behaviors;Mathematical method;Numerical calculation;Physical force;Pre-requisites;Turbulent behavior;Turbulent fluids