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Erschienen in:
Relaxing Stiff System Integration by Smoothing Techniques for Non-iterative Co-simulation Kapitel lesen Erstes Kapitel lesen

2019 | OriginalPaper | Buchkapitel

9. Explicit Co-simulation Approach with Improved Numerical Stability

verfasst von : Pu Li, Daixing Lu, Robert Schmoll, Bernhard Schweizer

Erschienen in: IUTAM Symposium on Solver-Coupling and Co-Simulation

Verlag: Springer International Publishing

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Abstract

For coupling different solvers, explicit co-simulation approaches are frequently applied, especially when proprietary software tools have to be coupled without full solver access. Explicit solver coupling approaches are usually much simpler to implement than implicit methods. A major drawback of explicit coupling approaches is their reduced numerical stability behavior. Applying classical explicit co-simulation techniques, the coupling variables are approximated by extrapolation/interpolation polynomials in order to carry out the subsystem integration. Typically, Lagrange polynomials are applied for generating the approximation polynomials, using the coupling variables at the macro-time points as sampling points. In this manuscript, an explicit coupling approach is presented, which shows an improved numerical stability behavior. The key idea of the proposed method is to apply polynomial approximation to predict the acceleration variables of the coupling bodies. By integrating the predicted accelerations, one obtains predicted state variables for the coupling bodies, which are used to predict the coupling variables by making use of the constitutive equations of the coupling element. Compared to classical coupling techniques, where the coupling variables are directly approximated, the approach presented here based on approximated accelerations exhibits a significantly improved numerical stability behavior. Moreover, the numerical error is markedly reduced. The co-simulation method is introduced for flexible multibody systems. However, the proposed approach can generally be applied to couple arbitrary mechanical systems. Also, the coupling technique may be used to couple non-mechanical systems, e.g. electrical or hydraulic systems.

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Vorheriges Kapitel Reduction of the Computation Time of Large Multibody Systems with Co-simulation Methods
Nächstes Kapitel The Influence of Secondary Flow on the Dynamics of Vibrating Tubes
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Metadaten
Titel
Explicit Co-simulation Approach with Improved Numerical Stability
verfasst von
Pu Li
Daixing Lu
Robert Schmoll
Bernhard Schweizer
Copyright-Jahr
2019
Buch
IUTAM Symposium on Solver-Coupling and Co-Simulation

Print ISBN: 978-3-030-14882-9

Electronic ISBN: 978-3-030-14883-6

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-3-030-14883-6_9