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