English

Modal Decomposition in Numerical Computation of Eddy Current Transients

Computational Engineering, Finance, and Science 2024-07-18 v1 Numerical Analysis Numerical Analysis

Abstract

A methodology to reduce the computational cost of time domain computations of eddy currents problems is proposed and implemented in a parallel computing environment. It is based on the modal decomposition of the current density and it is applicable even in presence of injected currents into the electrodes of a conducting domain. Using a theta-method integration algorithm, the performances of the the proposed approach are compared against those of a classical method based on the Cholesky factorization, for a case of interest from eddy current nondestructive testing. For this large eddy current problem (number of unknowns greater than 100k, number of time steps of interest equal to 100k) the proposed solution method is shown to be much faster than those based on standard time integration schemes.

Keywords

Cite

@article{arxiv.2407.11993,
  title  = {Modal Decomposition in Numerical Computation of Eddy Current Transients},
  author = {Salvatore Ventre and Andrea Chiariello and Nicola Isernia and Vincenzo Mottola and Antonello Tamburrino},
  journal= {arXiv preprint arXiv:2407.11993},
  year   = {2024}
}

Comments

18 pages, 14 Figures in 6 captions (1a, 1b, 2a, 2b, 2c, 2d, 3, 4a, 4b, 5a, 5b, 5c, 5d, 6)

R2 v1 2026-06-28T17:43:29.927Z