A Combined Reduced Order-Full Order Methodology for the Solution of 3D Magneto-Mechanical Problems with Application to MRI Scanners
Author (s): Seoane M., P.D. Ledger, A.J. Gil, S. Zlotnik and M. Mallett
Journal: International Journal for Numerical Methods in Engineering
Date: 2020
Abstract:
The design of a new MRI scanner requires multiple numerical simulations of the same magneto-mechanical problem for varying model parameters, such as frequency and electric conductivity, in order to ensure that the vibrations, noise and heat dissipation are minimized. The high computational cost required for these repeated simulations leads to a bottleneck in the design process due to an increased design time and, thus, a higher cost. To alleviate these issues, the application of reduced order modelling techniques, which are able to find a general solution to high dimensional parametric problems in a very efficient manner, is con- sidered. Building on the established Proper Orthogonal Decomposition (POD) technique available in the literature, the main novelty of this work is an efficient implementation for the solution of 3D magneto- mechanical problems in the context of challenging MRI configurations. This methodology provides a general solution for varying parameters of interest. The accuracy and efficiency of the method is proven by applying it to challenging MRI configurations and comparing with the full order solution.
Keywords: ROM, Proper Orthogonal Decomposition, Magneto-mechanical coupling, MRI scanner, Mul- tifield systems, Newton methods, Lagrangian.
