Cosimulation

Efficient time-domain simulation of coupled problems

Classical time-integration methods solve in each time step for all unknowns at once. This may become very inefficient or impossible for large systems of equations, in particular if the system stems from a coupled problem. This is typically a system of (partial-differential-algebraic) equations that consists of subproblems with different properties. Often the subproblem describe different physical effects (multiphysics), for example electromagnetic and heat distribution. The subproblems are mutually connected by coupling conditions (connecting ‘inputs’ and ‘outputs’). Often, the various phenomenae evolve at different time and spatial scales (multiscale). Co-Simulation methods aim at solving these systems more efficiently, e.g. based on iterations.

References

Cortes Garcia, Idoia ; Schöps, Sebastian ; Bortot, Lorenzo ; Maciejewski, Michał ; Prioli, Marco ; Fernandez Navarro, Alejandro Manuel ; Auchmann, Bernhard ; Verweij, Arjan Peter :
Optimized Field/Circuit Coupling for the Simulation of Quenches in Superconducting Magnets.
[Online-Edition: https://doi.org/10.1109/JMMCT.2017.2710128]
In: IEEE Journal on Multiscale and Multiphysics Computational Techniques, 2 (1) S. 97-104. ISSN 2379-8793
[Article] , (2017)

Kaufmann, Christoph ; Günther, Michael ; Klagges, Daniel ; Knorrenschild, Michael ; Richwin, Matthias ; Schöps, Sebastian ; ter Maten, E. Jan W. :
Efficient Frequency-Transient Co-Simulation of Coupled Heat-Electromagnetic Problems.
[Online-Edition: http://dx.doi.org/10.1186/2190-5983-4-1]
In: Journal of Mathematics in Industry, 4.1
[Article] , (2014)

Kaufmann, Christoph ; Günther, Michael ; Klagges, Daniel ; Richwin, Matthias ; Schöps, Sebastian ; ter Maten, E. Jan W.
Fontes, Magnus ; Günther, Michael ; Marheineke, Nicole (eds.) :

Coupled Heat-Electromagnetic Simulation of Inductive Charging Stations for Electric Vehicles.
[Online-Edition: http://dx.doi.org/10.1007/978-3-319-05365-3_5]
In: Progress in Industrial Mathematics at ECMI 2012. Mathematics in Industry. Springer, Berlin , S. 27-36. ISBN 978-3-319-05364-6
[Book section] , (2014)

Schöps, Sebastian ; De Gersem, Herbert ; Bartel, Andreas :
Higher-Order Cosimulation of Field/Circuit Coupled Problems.
[Online-Edition: http://dx.doi.org/10.1109/TMAG.2011.2174039]
In: IEEE Transactions on Magnetics, 48 (2) S. 535-538.
[Article] , (2012)

Schöps, Sebastian ; De Gersem, Herbert ; Bartel, Andreas :
A Cosimulation Framework for Multirate Time Integration of Field/Circuit Coupled Problems.
[Online-Edition: http://dx.doi.org/10.1109/TMAG.2010.2045156]
In: IEEE Transactions on Magnetics, 46 (8) S. 3233-3236.
[Article] , (2010)

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