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Voxel-based Analysis of Electrostatic Fields in Virtual-human Model Duke using Indirect Boundary Element Method with Fast Multipole Method

S. Hamada1
Department of Electrical Engineering, Kyoto University, Kyoto-Daigaku-Katsura, Nishikyo-ku, Kyoto 615-8510, Japan.

Computer Modeling in Engineering & Sciences 2014, 102(5), 407-424. https://doi.org/10.3970/cmes.2014.102.407

Abstract

The voxel-based indirect boundary element method (IBEM) combined with the Laplace-kernel fast multipole method (FMM) is capable of analyzing relatively large-scale problems. A typical application of the IBEM is the electric field analysis in virtual-human models such as the model called Duke provided by the foundation for research on information technologies in society (IT’IS Foundation). An important property of voxel-version Duke models is that they have various voxel sizes but the same structural feature. This property is useful for examining the O(N) and O(D2) dependencies of the calculation times and the amount of memory required by the FMM-IBEM, where N and D are the number of boundary elements and the reciprocal of the voxel-side length, respectively. In this paper, the dependencies were confirmed by analyzing Duke models with voxel-side lengths of 5.0, 2.0, 1.0, and 0.5 mm. The finest model had 2.2 billion voxels and 61 million square elements. In addition, a technique that improves the convergence performance of the linear equation solver by considering the non-uniqueness of the electric potential is proposed, and its effectiveness is demonstrated.

Keywords

Voxel-based analysis, electrostatic field, eddy current, indirect boundary element method, virtual-human model, fast multipole method.

Cite This Article

Hamada, S. (2014). Voxel-based Analysis of Electrostatic Fields in Virtual-human Model Duke using Indirect Boundary Element Method with Fast Multipole Method. CMES-Computer Modeling in Engineering & Sciences, 102(5), 407–424.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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