Higher‐Order Index‐1 Co‐Simulation Approach: Solver Coupling for Multibody Systems

Higher‐Order Index‐1 Co‐Simulation Approach: Solver Coupling for Multibody Systems This paper attends to a co‐simulation approach for solver coupling in time domain. A general multibody system is divided into several subsystems, which are coupled by algebraic constraints. The coupling technique analyzed here is a linear‐implicit predictor/corrector approach, i.e. coupling variables for the corrector step are calculated by one step of a Newton‐iteration. Within the presented approach, the coupling conditions together with its first and second derivatives are enforced simultaneously at the communication‐time points. This index‐1 approach uses cubic polynomials to approximate the coupling variables. The space of polynomials of degree ≤ 3 is a four‐dimensional vector space. One of the four degrees of freedom is used for a continuous approximation of the coupling variables at the communication‐time points. The three remaining degrees of freedom are used in order to enforce the coupling conditions on position, velocity, and acceleration level. Due to the higher order approximation, the numerical errors are very small and a good convergence behavior is achieved. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings in Applied Mathematics & Mechanics Wiley

Higher‐Order Index‐1 Co‐Simulation Approach: Solver Coupling for Multibody Systems

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Publisher
Wiley
Copyright
Copyright © 2017 Wiley Subscription Services
ISSN
1617-7061
eISSN
1617-7061
D.O.I.
10.1002/pamm.201710047
Publisher site
See Article on Publisher Site

Abstract

This paper attends to a co‐simulation approach for solver coupling in time domain. A general multibody system is divided into several subsystems, which are coupled by algebraic constraints. The coupling technique analyzed here is a linear‐implicit predictor/corrector approach, i.e. coupling variables for the corrector step are calculated by one step of a Newton‐iteration. Within the presented approach, the coupling conditions together with its first and second derivatives are enforced simultaneously at the communication‐time points. This index‐1 approach uses cubic polynomials to approximate the coupling variables. The space of polynomials of degree ≤ 3 is a four‐dimensional vector space. One of the four degrees of freedom is used for a continuous approximation of the coupling variables at the communication‐time points. The three remaining degrees of freedom are used in order to enforce the coupling conditions on position, velocity, and acceleration level. Due to the higher order approximation, the numerical errors are very small and a good convergence behavior is achieved. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal

Proceedings in Applied Mathematics & MechanicsWiley

Published: Jan 1, 2017

References

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