Magnetodynamic Finite-Element Simulation of Accelerator Magnets

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.

arXiv comment24 pages, contribution to the CAS - CERN Accelerator School: Numerical Methods for Analysis, Design and Modelling of Particle Accelerators, 11-23 November 2018, Thessaloniki, Greece

References in corpus (6)

• STEAM: A Hierarchical Co-Simulation Framework for Superconducting Accelerator Magnet Circuits
• Optimized Field/Circuit Coupling for the Simulation of Quenches in Superconducting Magnets
• Coupling of Magneto-Thermal and Mechanical Superconducting Magnet Models by Means of Mesh-Based Interpolation
• A Defect Corrected Finite Element Approach for the Accurate Evaluation of Magnetic Fields on Unstructured Grids
• Efficient simulation of DC-AC power converters using Multirate Partial Differential Equations
• An efficient steady-state analysis of the eddy current problem using a parallel-in-time algorithm