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.
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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⟩

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