In the previous works a systematic analysis of swarming processes, accompanied by particles aggregation with formation of high-order clusters in dispersed flows, has been carried out. As a result of the analysis, it was proposed to consider three main swarming mechanisms. However, only the inertial mechanism was previously considered in detail. In submitted work, this approach has been firstly adapted to simulating swarming according the attractive mechanism in dispersed system with allowance for the aggregation process. The research novelty, peculiarity and originality of this development lie in that the phenomenon of swarming, accompanied by aggregation, arising under influence of attraction centers, is modeled using a special probabilistic calculation scheme that is allowing to offer a universal approach to modeling attractive swarming under different physical nature of interaction. The paper presents the algorithm, results of numerical experiments and gives their brief interpretation. The results of numerical experiments have shown that the phenomenon of attractive swarming can significantly reduce the efficiency of the device, because up 4 to 50 % of the volume of the apparatus may be excluded from work during the process period.