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Convergence Study of Explicit Co‐Simulation Approaches with Respect to Subsystem Solver Settings
Author(s) -
Schmoll Robert,
Schweizer Bernhard
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210032
Subject(s) - convergence (economics) , extrapolation , solver , integrator , co simulation , coupling (piping) , stability (learning theory) , computer science , computer simulation , focus (optics) , numerical stability , control theory (sociology) , mathematics , simulation , numerical analysis , engineering , mechanical engineering , physics , mathematical analysis , computer network , control (management) , optics , bandwidth (computing) , machine learning , artificial intelligence , economics , programming language , economic growth
Coupling different subsystem simulators can be accomplished by a co‐simulation [1, 2]. For this purpose, the subsystem solvers are coupled by appropriate input and output variables. In order to analyze the stability of the coupled simulation, not only the coupling technique must be taken into account, but also the subsystem integrators. On the one hand, the stability of the co‐simulation is influenced by the extrapolation of the coupling variables and by the macro‐step size. On the other hand, the numerical errors arising from the subsystem solvers may directly affect the coupled simulation. The focus of this paper lies on the question, how the subsystem solvers influence the co‐simulation. Therefore, numerical studies regarding the numerical stability and the convergence order have been carried out by using a co‐simulation test model. We restrict ourselves to explicit co‐simulation techniques, based on a zero‐stable applied‐force coupling approach. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)