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2019 | OriginalPaper | Chapter

11. Error Estimation Approach for Controlling the Communication Step-Size for Explicit Co-simulation Methods

Authors : Tobias Meyer, Jan Kraft, Daixing Lu, Bernhard Schweizer

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

Publisher: Springer International Publishing

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Abstract

In this paper, an approach for controlling the communication-step size in connection with explicit co-simulation methods is suggested. In the framework of the proposed communication-step size controller, each subsystem integration is carried out with two different explicit co-simulation methods. By comparing the variables for both integrations, an error estimator for the local error can be constructed. Making use of the estimated local error, a step-size controller for the communication step-size can be implemented. Examples are presented demonstrating the applicability and accuracy of the proposed communication-step size controller.

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Appendix
Available only for authorised users
Literature
1.
go back to reference Eich-Soellner, E., Führer, C.: Numerical Methods in Multibody Dynamics, vol. 45. Teubner, Stuttgart (1998)CrossRef Eich-Soellner, E., Führer, C.: Numerical Methods in Multibody Dynamics, vol. 45. Teubner, Stuttgart (1998)CrossRef
3.
go back to reference Gustafsson, K., Lundh, M., Söderlind, G.: API stepsize control for the numerical solution of ordinary differential equations. BIT Numer. Math. 28(2), 270–287 (1988) Gustafsson, K., Lundh, M., Söderlind, G.: API stepsize control for the numerical solution of ordinary differential equations. BIT Numer. Math. 28(2), 270–287 (1988)
4.
go back to reference Kübler, R., Schiehlen, W.: Two Methods of Simulator Coupling. Math. Comput. Model. Dyn. Syst. 6(2), 93–113 (2000)CrossRef Kübler, R., Schiehlen, W.: Two Methods of Simulator Coupling. Math. Comput. Model. Dyn. Syst. 6(2), 93–113 (2000)CrossRef
5.
go back to reference Meyer, T., Li, P., Lu, D., Schweizer, B.: Implicit co-simulation method for constraint coupling with improved stability behavior. Multibody Syst. Dyn. 1–27 (2018) Meyer, T., Li, P., Lu, D., Schweizer, B.: Implicit co-simulation method for constraint coupling with improved stability behavior. Multibody Syst. Dyn. 1–27 (2018)
6.
go back to reference Milne, W. E.: Numerical integration of ordinary differential equations. Am. Math. Mon. 33(9), 455–460 (1926) Milne, W. E.: Numerical integration of ordinary differential equations. Am. Math. Mon. 33(9), 455–460 (1926)
7.
go back to reference Schweizer, B., Li, P., Lu, D.: Explicit and implicit cosimulation methods: stability and convergence analysis for different solver coupling approaches. J. Comput. Nonlinear Dyn. 10(5), 051007 (2015) Schweizer, B., Li, P., Lu, D.: Explicit and implicit cosimulation methods: stability and convergence analysis for different solver coupling approaches. J. Comput. Nonlinear Dyn. 10(5), 051007 (2015)
Metadata
Title
Error Estimation Approach for Controlling the Communication Step-Size for Explicit Co-simulation Methods
Authors
Tobias Meyer
Jan Kraft
Daixing Lu
Bernhard Schweizer
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-14883-6_11

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