Parallel-in-Time Integration of Transient Phenomena in No-Insulation Superconducting Coils Using Parareal

TL;DR

This paper introduces an extended Parareal method for parallel-in-time simulation of HTS magneto-thermal phenomena, significantly reducing computation time for complex, nonlinear superconducting coil models.

Contribution

It extends the Parareal algorithm with adaptive time partitioning specifically for nonlinear HTS magnet simulations, enabling faster computations.

Findings

Reduces simulation time for nonlinear HTS magnet models

Successfully applies Parareal to no-insulation superconducting coils

Open-source software implementation provided

Abstract

High-temperature superconductors (HTS) have the potential to enable magnetic fields beyond the current limits of low-temperature superconductors in applications like accelerator magnets. However, the design of HTS-based magnets requires computationally demanding transient multi-physics simulations with highly non-linear material properties. To reduce the solution time, we propose using Parareal (PR) for parallel-in-time magneto-thermal simulation of magnets based on HTS, particularly, no-insulation coils without turn-to-turn insulation. We propose extending the classical PR method to automatically find a time partitioning using a first coarse adaptive propagator. The proposed PR method is shown to reduce the computing time when fine engineering tolerances are required despite the highly nonlinear character of the problem. The full software stack used is open-source.