Toward higher order event-capturing schemes and adaptive time-step strategies for nonsmooth multibody systems

Vincent Acary 1
1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : The report is devoted to the study of higher order time integration methods for multibody systems with unilateral constraints. After a brief presentation of the mathematical modelling of nonsmooth multibody systems, several estimates on the local error of consistency of the Moreau time-stepping scheme are given. Based on these estimates, an attempt at an adaptive time-step strategy is presented on academic examples. Finally, higher order event-capturing methods are designed by coupling implicit Runge-Kutta schemes and the Moreau's time-stepping scheme.
Liste complète des métadonnées

Littérature citée [42 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00440771
Contributeur : Vincent Acary <>
Soumis le : mercredi 25 août 2010 - 17:47:15
Dernière modification le : mercredi 11 avril 2018 - 01:58:01
Document(s) archivé(s) le : vendredi 26 novembre 2010 - 02:44:09

Fichier

RR-7151-v2.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : inria-00440771, version 2

Citation

Vincent Acary. Toward higher order event-capturing schemes and adaptive time-step strategies for nonsmooth multibody systems. [Research Report] RR-7151, INRIA. 2009, pp.31. 〈inria-00440771v2〉

Partager

Métriques

Consultations de la notice

334

Téléchargements de fichiers

170