Simulation of three-dimensional floc growth using improved DLA model

Based on the classic theoretical model of Diffusion-Limited Aggregation (DLA), two improved models, built for more practical use, were presented: Steps-Limited and Reaction-Limited three-dimensional Fractal Aggregation. The fractal dimension and porosity were calculated with cyclotron radius method, in order to study the influence of finite steps and reaction probability on the results of the fractal simulation of floc growth. A highly assembled aggregation would be formed as the Steps was getting smaller, contributing to the reduction of the cyclotron radius Rc which finally approached about 2.40, whose fractal characteristic became more and more inconspicuous. Smaller the reaction probability, the larger moving space of particles would be, resulted in the denser of the interior of the flocs, characterized by the gradual reduction of cyclotron radius Rc which finally approached about 2.65.