Coupled Multiphysical Simulations
Understanding the interplay of circuits, electromagnetic, thermal and machanical fields

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Complex simulation models in the engineering sciences usually consist of many submodels, e.g. from different physical disciplines (“multiphysics”) or different scales in time and place (“multiscale” and “multirate”).

For example, often devices can be simulated sufficiently accurate as electrical circuits, i.e., by lumped network models. However, the increasing frequencies and the decreasing size forces designers to account for wave propagation effects, eddy-currents, ferromagnetic saturation and hysteresis as well as multiphysical phenomenae. Complicated material behavior, e.g. superconductivity make the mathematical model even more challenging. Some of those effects can be represented by order-reduced equivalent models that are embedded in an electrical circuit but other require fully coupled simulations.

The representation of field-dependent nonlinearities, hysteresis and multiphysical effects is not straightforward. Complex 3D field models are required, e.g. discretized with classical finite elements (FEM) or isogeometric analysis (IGA). Therefore hybrid field/circuit models are a relevant research topic on its own.

Cortes Garcia, Idoia ; Schöps, Sebastian ; Bortot, Lorenzo ; Mentink, Matthias. Mathematical Modeling, Simulation and Optimization for CERN's Quench Protection System. In German Success Stories on Mathematics in Industry, volume 35 of Mathematics in Industry. Springer, 2021, forthcoming. [In Collection]

Bortot, Lorenzo ; Auchmann, Bernhard ; Cortes Garcia, Idoia ; De Gersem, Herbert ; Maciejewski, Michał ; Mentink, Matthias ; Schöps, Sebastian ; Van Nugteren, Jeroen ; Verweij, Arjan (2020):
A Coupled A-H Formulation for Magneto-Thermal Transients in High-Temperature Superconducting Magnets.
In: IEEE Transactions on Applied Superconductivity, ISSN: 1051-8223, DOI: 10.1109/TASC.2020.2969476, ARXIV: 1909.03312. [Article]

Casper, Thorben ; Duque, David José ; Schöps, Sebastian ; De Gersem, Herbert. Automated Generation of Netlists from Electrothermal Field Models. In Nanoelectronic Coupled Problems Solutions, volume 29 of Mathematics in Industry, chapter 5, pages 93–113. Springer, 2019. [In Collection]

Casper, Thorben ; Duque, David ; Schöps, Sebastian ; De Gersem, Herbert (2019):
Automated Netlist Generation for 3D Electrothermal and Electromagnetic Field Problems.
In: Journal of Computational Electronics, 18, (4), pp. 1306–1332, ISSN: 1569-8025, DOI: 10.1007/s10825-019-01368-6, ARXIV: 1809.08588. [Article]

Casper, Thorben ; Römer, Ulrich ; De Gersem, Herbert ; Schöps, Sebastian (2019):
Coupled Simulation of Transient Heat Flow and Electric Currents in Thin Wires: Application to Bond Wires in Microelectronic Chip Packaging.
In: Computers and Mathematics with Applications, ISSN: 0898-1221, DOI: 10.1016/j.camwa.2019.10.009, ARXIV: 1809.09034. [Article]

Maciejewski, Michał ; Bayrasy, Pascal ; Wolf, Klaus ; Wilczek, Michał ; Auchmann, Bernhard ; Griesemer, Tina ; Bortot, Lorenzo ; Prioli, Marco ; Fernandez Navarro, Alejandro Manuel ; Schöps, Sebastian ; Cortes Garcia, Idoia ; Verweij, Arjan (2018):
Coupling of Magnetothermal and Mechanical Superconducting Magnet Models by Means of Mesh-Based Interpolation.
In: IEEE Transactions on Applied Superconductivity, ISSN: 1051-8223, DOI: 10.1109/TASC.2017.2786721. [Article]

Bortot, Lorenzo ; Auchmann, Bernhard ; Cortes Garcia, Idoia ; Fernando Navarro, Alejando M. ; Maciejewski, Michał ; Mentink, Matthias ; Prioli, Marco ; Ravaioli, Emmanuele ; Schöps, Sebastian ; Verweij, Arjan (2018):
STEAM: A Hierarchical Co-Simulation Framework for Superconducting Accelerator Magnet Circuits.
In: IEEE Transactions on Applied Superconductivity, ISSN: 1051-8223, DOI: 10.1109/TASC.2017.2787665. [Article]

Bortot, Lorenzo ; Auchmann, Bernhard ; Maciejewski, Michał ; Prioli, Marco ; Schöps, Sebastian ; Cortes Garcia, Idoia ; Verweij, Arjan (2018):
A 2-D Finite-element Model for Electrothermal Transients in Accelerator Magnets.
In: IEEE Transactions on Magnetics, 54, (3), pp. 1–4, ISSN: 0018-9464, DOI: 10.1109/TMAG.2017.2748390, ARXIV: 1710.01187. [Article]

Maciejewski, Michał ; Cortes Garcia, Idoia ; Schöps, Sebastian ; Auchmann, Bernhard ; Bortot, Lorenzo ; Prioli, Marco ; Verweij, Arjan (2017):
Application of the Waveform Relaxation Technique to the Co-Simulation of Power Converter Controller and Electrical Circuit Models.
In: 22nd International Conference on Methods and Models in Automation and Robotics (MMAR 2017), 837–842. IEEE. DOI: 10.1109/MMAR.2017.8046937, ARXIV: 1704.02839. [In Proceedings]

Corno, Jacopo ; de Falco, Carlo ; De Gersem, Herbert ; Schöps, Sebastian (2016):
Isogeometric Simulation of Lorentz Detuning in Superconducting Accelerator Cavities.
In: Computer Physics Communications, 201, pp. 1–7, ISSN: 0010-4655, DOI: 10.1016/j.cpc.2015.11.015, ARXIV: 1606.08209. [Article]

Casper, Thorben ; Römer, Ulrich ; Schöps, Sebastian (2016):
Determination of Bond Wire Failure Probabilities in Microelectronic Packages.
In: 22nd International Workshop on Thermal Investigations of ICs and Systems (THERMINIC 2016), 39–44. IEEE. ISBN: 978-1-5090-5450-3, DOI: 10.1109/THERMINIC.2016.7748645, ARXIV: 1609.06187. [In Proceedings]

Casper, Thorben ; De Gersem, Herbert ; Schöps, Sebastian. van Driel, Willem ; Rodgers, Peter (editors) (2016):
Automatic Generation of Equivalent Electrothermal SPICE Netlists from 3D Electrothermal Field Models.
In: 17th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE 2016). IEEE. ISBN: 9781509021079, DOI: 10.1109/EuroSimE.2016.7463329, ARXIV: 1610.04304. [In Proceedings]

Bortot, Lorenzo ; Maciejewski, Michał ; Prioli, Marco Fernandez Navarro, Alejandro Manuel ; Ghini, Jonas Blomberg ; Auchmann, Bernharda ; Verweij, Arjan (2016):
A Consistent Simulation of Electro-thermal Transients in Accelerator Circuits.
In: IEEE Transactions on Applied Superconductivity, ISSN: 1051-8223, DOI: 10.1109/TASC.2016.2639585. [Article]

Bortot, Lorenzo ; Maciejewski, Michał ; Prioli, Marco ; Fernandez Navarro, Alejandro Manuel ; Schöps, Sebastian ; Cortes Garcia, Idoia ; Auchmann, Bernhard ; Verweij, Arjan (2016):
Simulation of Electro-Thermal Transients in Superconducting Accelerator Magnets with COMSOL Multiphysics.
In: Proceedings of the European COMSOL Conference 2016. URL: [In Proceedings]

Schöps, Sebastian (2015):
Iterative Schemes for Coupled Multiphysical Problems in Electrical Engineering.
In: IFAC-PapersOnLine, volume 48, 165–167. Elsevier. DOI: 10.1016/j.ifacol.2015.05.174. [In Proceedings]

Bartel, Andreas ; Brunk, Markus ; Günther, Michael ; Schöps, Sebastian (2013):
Dynamic Iteration for Coupled Problems of Electric Circuits and Distributed Devices.
In: SIAM Journal on Scientific Computing, 35, (2), pp. B315–B335, ISSN: 1064-8275, DOI: 10.1137/120867111. [Article]