Parallel-in-Time Solution of Eddy Current Problems Using Implicit and Explicit Time-stepping Methods

TL;DR

This paper explores the use of parallel-in-time methods, combining explicit and implicit time-stepping, to efficiently simulate long-duration eddy current problems with fast-switching signals.

Contribution

It introduces a novel combination of explicit and implicit methods within the Parareal framework for eddy current simulations.

Findings

Parallel-in-time methods reduce computation time

Explicit-implicit combination improves stability and efficiency

Simplified coarse model accelerates convergence

Abstract

The time domain analysis of eddy current problems often requires the simulation of long time intervals, e.g. until a steady state is reached. Fast-switching excitations e.g. in pulsedwidth modulated signals require in addition very small time step sizes that significantly increase computation time. To speed up the simulation, parallel-in-time methods can be used. In this paper, we investigate the combination of explicit and implicit time integration methods in the context of the parallel-in-time method Parareal and using a simplified model for the coarse propagator.