@inproceedings{565571ffbf9645218526d62745ed21a6,
title = "A new parallel numerical model for multiple collisions",
abstract = "The A-CD2 method [8] is used for numerical simulation in collisions of rigid bodies. This method solves a large scale constrained minimization problem in order to obtain the new velocities of each particle after a collision. The minimization problem is originally solved using the Uzawa method [6]. Unfortunately, the Uzawa method converges very slowly. In order to overcome this shortcoming, we propose a new numerical model that improves the previous approach in three ways: (i) the minimization problem is solved with a interior point method [10, 23] implemented in the CPLEX library [7], which converges in half of time required by the Uzawa method; (ii) the new model includes the rotational dynamics of the free moving rigid bodies between collisions; (iii) a parallel implementation of the updated velocities after collision is included. This new approach allow us to obtain numerical simulations with a large number of solids that was not possible before.",
keywords = "Computational dynamics, Multiple collisions, Pseudopotential of dissipation, Ridig body rotation",
author = "Roberto Leon and Luis Salinas and Claudio Torres and Gonzalo Hernandez",
year = "2015",
month = apr,
day = "1",
language = "English",
series = "PANACM 2015 - 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015",
publisher = "International Center for Numerical Methods in Engineering",
pages = "963--971",
editor = "Idelsohn, {Sergio R.} and Idelsohn, {Sergio R.} and Victorio Sonzogni and Alvaro Coutinho and Marcela Cruchaga and Adrian Lew and Miguel Cerrolaza",
booktitle = "PANACM 2015 - 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015",
note = "1st Pan-American Congress on Computational Mechanics, PANACM 2015 and the 11th Argentine Congress on Computational Mechanics, MECOM 2015 ; Conference date: 27-04-2015 Through 29-04-2015",
}