Numerical calculation method for electrostatic fields in large-scale inhomogeneous anisotropic voxel models

2015 Fiscal Year Final Research Report

• Project/Area Number: 25390153
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Computational science
• Research Institution: Kyoto University
• Principal Investigator: Hamada Shoji 京都大学, 工学(系)研究科(研究院), 准教授 (20246656)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: 計算物理 / 電磁界解析 / 誘導電流 / モーメント法 / ボクセル / 異方性 / 低周波 / 高速多重極法

Outline of Final Research Achievements

A voxel-based static method of moments (MoM) is proposed and validated to analyze electrostatic fields in large-scale voxel models with inhomogeneous anisotropic conductivities. This MoM can be concurrently applied with the voxel-based indirect boundary element method, and both methods can be accelerated by the fast multipole method and fast Fourier transform in the same manner. We calculated the magnetically induced electric field in a human head model constructed using magnetic resonance imaging and diffusion tensor imaging data. The calculated electric currents exhibit qualitatively reasonable distributions. The proposed method could solve 188,296,465 unknowns of the head model within 83 minutes using a personal computer.

Free Research Field

電気工学