Error analysis for co‐simulation with force‐displacement coupling. Issue 1 (December 2014)

• Record Type: Journal Article
• Authors: Arnold, Martin; Hante, Stefan; Köbis, Markus A.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 14:Issue 1(2014)
• Page Start: 43
• Page End: 44
• Publication Date: 2014-12
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201410014
• Languages: English
• ISSNs: 1617-7061

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>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 <bold>SNiMoWrapper</bold>. (© 2014 Wiley‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim)</p> </abstract>