Magnetodynamic Finite-Element Simulation of Accelerator Magnets

TL;DR

This paper explains how to perform magnetodynamic finite-element simulations for accelerator magnets, including formulation, discretization, setup, and an example with the GSI SIS-100 magnet.

Contribution

It provides a detailed methodology for simulating accelerator magnets using finite-element methods, including extensions specific to accelerator magnet applications.

Findings

Successful simulation of the GSI SIS-100 magnet

Detailed step-by-step setup process provided

Discussion of specialized extensions to standard FE methods

Abstract

This lecture note describes how to set up and what is behind a magnetodynamic field simulation for an accelerator magnet. The relevant formulation of Maxwell's equations is derived. The formulation is discretized in space by the finite-element method and in time by a standard time integration method. The steps for setting up the accelerator-magnet model are described. An exemplary simulation of the GSI SIS-100 magnet is given as illustration. Finally, some extensions to the standard FE method, dedicated to accelerator magnets, are discussed.