Analysis and simulation of vortex behavior for self-propelled particle model

• Main Authors: Helbert Eduardo Espitia Cuchango, Jorge Iván Sofrony Esmeral
• Format: Article
• Language: Spanish
• Published: Universidad Distrital Francisco José de Caldas 2016-10-01
• Series: Ingeniería
• Subjects: Autopropulsión, modelo, partícula, vórtice.
• Online Access: http://revistas.udistrital.edu.co/ojs/index.php/reving/article/view/10182

Context: In this paper several analyzes are performed to a self-propelled swarm model; this model permits to describe the swarm behavior. It is characterized by having both, linear and circular movements which are utilized to search nourishment as well as to evade obstacles and predators. Method: In regard of the analyzes performed, it is first calculated the equilibrium points, then the conservation of energy and angular momentum is observed. Finally, it is performed an estimate of the rotation radius when the particles made circular motions. The simulations were made considering the analyzes in order to observe the most important characteristics of the studied model. Results: From the analyzes, it is seen that the interaction among particles acts as a centripetal force directed to the rotation center of the swarm, such that the particles can describe a circular trajectory at a constant speed. Conclusions: Through the analysis some important features of the model were identified, these features were presented via simulations. It was mainly observed the capacity of the model to describe linear and circular movements depending on parameters configuration.