Parallel-In-Time Simulation of Eddy Current Problems Using Parareal
This work addresses the need for faster simulation of eddy current problems in computational electromagnetics, but the results are preliminary and incremental.
The paper adapts the Parareal method for time-parallel simulation of eddy current problems, addressing challenges from differential-algebraic equations in non-conducting regions. A first demonstration on a realistic four-pole induction machine model is provided.
In this contribution the usage of the Parareal method is proposed for the time-parallel solution of the eddy current problem. The method is adapted to the particular challenges of the problem that are related to the differential algebraic character due to non-conducting regions. It is shown how the necessary modification can be automatically incorporated by using a suitable time stepping method. The paper closes with a first demonstration of a simulation of a realistic four-pole induction machine model using Parareal.