Physical Reflective Boundary Conditions in Particle Methods: a Collision Detection and Response Algorithm

Carlos Alberto Dutra Fraga Filho¹

¹ Instituto Federal de Educação, Ciência e Tecnologia do Espírito Santo

doi:10.20906/CPS/CILAMCE2017-0202

Resumo

This paper presents the implementation of a computational algorithm, based on the physical laws of motion and foundations of analytic geometry, for applying of physical reflective boundary conditions in particle methods. The computational tool is capable of detecting the particle collisions against the boundaries and to carry out the necessary reflections, at each numerical iteration, in order to keep them inside the domain. The contribution of this research is in the step-by-step description of the algorithm implemented, including case studies. Numerical simulations have been carried out for hydrostatic and hydrodynamic problems. The simulations results are in agreement with analytical and experimental results. The computational algorithm implemented showed excellent results in the studied cases.

Palavras-chave: physical reflective boundary conditions; collision detection and response; SPH particle method; kinetic energy restitution coefficient ; computational algorithm