NDLI: Semi-implicit co-simulation approach for solver coupling

Content Provider	Springer Nature Link
Author	Schweizer, Bernhard Lu, Daixing
Copyright Year	2014
Abstract	Co-simulation methods are used to couple two or more subsystem solvers in time domain. Considering mechanical systems, the subsystems can be coupled in two different ways, namely either by applied forces/torques (i.e., by physical force/torque laws) or by constraint forces/torques (i.e., by algebraic constraint equations). Here, we present and analyze a semi-implicit co-simulation method for the case that the subsystems are coupled by applied forces/torques. The semi-implicit approach (predictor/corrector approach) analyzed here is more stable than explicit coupling methods and numerically more efficient than full-implicit coupling schemes. Furthermore, the approach takes only into account partial derivatives of the state variables with respect to the coupling variables so that the Jacobian matrix, which is required for the corrector step, has very small dimensions. For that reason, this semi-implicit approach can be implemented very easily and very time-efficiently, especially for the case that commercial codes without full solver access have to be coupled. Within this paper, we focus on mechanical systems. However, the presented method may also be applied to couple arbitrary non-mechanical systems and arbitrary solvers.
Starting Page	1739
Ending Page	1769
Page Count	31
File Format	PDF
ISSN	09391533
Journal	Archive of Applied Mechanics
Volume Number	84
Issue Number	12
e-ISSN	14320681
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-08-02
Publisher Place	Berlin/Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Co-simulation Solver coupling Parallelization Subcycling Implicit Semi-implicit Coupling by constitutive laws Theoretical and Applied Mechanics Mechanics
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering

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