Chair of Electromagnetic Theory

Parallel and Explicit Methods for the Simulation of Eddy Current Problems

Project title (German)
Parallele und explizite Verfahren für die Simulation von Wirbelstromproblemen

Project leader
Prof. Dr. rer. nat. Markus Clemens (Chair of Electromagnetic Theory)

Project member
Jennifer Dutiné, M.Sc.
Bernhard Kähne, M.Sc.

Cooperation partner
Prof. Dr. Sebastian Schöps (Graduiertenschule Computational Engineering, TU Darmstadt)

Keywords
applied mathematics, electromagnetic theory, scientific computing, numerics of electromagnetic fields, time integration, finite elements method

Acknowledgement
Deutschen Forschungsgemeinschaft (DFG) under grant number CL143/11-1 and CL143/11-2

Project description

The development of efficiently designed electrical and electro-mechanical engery converters, e.g., transformers, electric motors, generators, actuators, eddy current brakes, etc., requires a detailed knowledge about the magnetic fields and fluxes in the respective devices. Numerical simulations of low-frequency electromagnetic fields and their interactions for computation and visualization (virtual prototyping) represent an essentiell and  cost-effective alternative to measurements.

In this research project, the fundamentals of noval numerical methods are to be developed or existing methods optimized in order to increase the efficiency of low-frequency magnetic field simulations. Goal of this project is to solve detailed models and the resulting large discrete problems in less time by exploting novel parallel proccessing architectures. In particular, the combination of discontinuous Galerkin finite elements methods including explicit time integration methods, such as the Runge-Kutta-Chebyshev scheme, are to be tested. This enables an outstanding utilization of upcoming multi-processing computer architectures, e.g., graphics processing units, since many parallel arithmetic operations can be executed with minimal data transfer.

Project-related publications

2023
10.
B. Kähne and M. Clemens, "A ROW-Type Method for GPU-Accelerated Large-Scale Finite Element Simulations of Nonlinear Eddy Current Problems", The 13th International Symposium on Electric and Magnetic Fields (EMF 2023), Marseilles, France, 29.-31.08.2023, 5 2023.
9.
B. Kähne and M. Clemens, "Semiexplicit time integration of a reduced magnetic vector potential magneto-quasistatic field formulation", International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, pp. e3101, 03 2023. John Wiley & Sons, Ltd.
2017
8.
J. Dutiné, M. Clemens and S. Schöps, "Multiple Right-Hand Side Techniques in Semi-Explicit Time Integration Methods for Transient Eddy Current Problems", Presented at: 17th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2016), Miami, USA, 13.-16.11.2016., vol. IEEE Transactions on Magnetics, Vol. 53, No. 6, June 2017., Jun. 2017.
7.
J. Dutiné, M. Clemens, S. Schöps and G. Wimmer, "Explicit Time Integration of Transient Eddy Current Problems", Presented at: 10th International Symposium on Electric and Magnetic Fields (EMF 2016), Lyon, 12.-14.04.2016, vol. International Journal of Numerical Modell: Electric Networks, Devices and Fields, Feb. 2017.
6.
J. Dutiné, M. Clemens and S. Schöps, "Explicit Time Integration of Eddy Current Problems Using a Selective Matrix Update Strategy", COMPEL, Vol. 36, No. 5, 2017, pp. 1364-1371 (Presented at: 17th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering (IGTE 2016) , Graz, Austria, 18.-21.09.2016. Book of Abstracts, p. 56.), 2017.
5.
S. Schöps, I. Niyonzima and M. Clemens, "Parallel-in-time Simulation of the Eddy Current Problem using Parareal", IEEE Transactions on Magnetics, Vol. 54, No. 3, March 2018, 2017.
2016
4.
I. Niyonzima, M. Clemens and S. Schöps, "Investigation of the Time Integration Methods on the Parareal Method for Field Computation of Eddy Cur-rents Problems", 17th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2016), Miami, USA, 13.-16.11.2016. One-page digest., Nov. 2016.
3.
J. Dutiné, M. Clemens and S. Schöps, "Survey on Semi-Explicit Time Integration of Eddy Current Problems", Proceedings of the 11th International Conference on Scientific Computing in Electrical Engineering (SCEE 2016), Strobl, Austria, 03.-07.10.2016, Oct. 2016.

ISBN: 978-3-319-75537-3

2.
J. Dutiné, M. Clemens and S. Schöps, "Numerical Techniques for the Acceleration of Semi-Explicit Time Integration of Eddy Current Problems", URSI e.V. Deutschland 2016 Kleinheubacher Tagung (KHB 2016), Miltenberg, Germany, 26.-28.09.2016. Abstract., Sep. 2016.
2015
1.
J. Dutiné, M. Clemens, C. Richter, S. Schöps and G. Wimmer, "Explicit Time Integration of Eddy Current Problems with a Weakly Gauged Schur-Complement Vector Potential Formulation", URSI e.V. Kleinheubacher Tagung, Miltenberg, 28.-30.09.2015, Abstract, Sep. 2015.

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