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Error analysis for co‐simulation with force‐displacement coupling
Author(s) -
Arnold Martin,
Hante Stefan,
Köbis Markus A.
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410014
Subject(s) - co simulation , displacement (psychology) , convergence (economics) , coupling (piping) , computer simulation , stability (learning theory) , algebraic number , computer science , reduction (mathematics) , block (permutation group theory) , control theory (sociology) , simulation , mathematics , engineering , mechanical engineering , mathematical analysis , geometry , psychology , control (management) , machine learning , artificial intelligence , economics , psychotherapist , economic growth
Co‐simulation is a simulation technique for time dependent coupled problems in engineering that restricts the data exchange between subsystems to discrete communication points in time. In the present paper we follow the block‐oriented framework in the recently established industrial interface standard FMI for Model Exchange and Co‐Simulation v2.0 and study local and global error of co‐simulation algorithms for systems with force‐displacement coupling. A rather general convergence result for the co‐simulation of coupled systems without algebraic loops shows zero‐stability of co‐simulation algorithms with force‐displacement coupling and proves that order reduction of local errors does not affect the order of global errors. The theoretical investigations are illustrated by numerical tests in the novel FMI‐compatible co‐simulation environment SNiMoWrapper . (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)