Automatic quadrilateral mesh generation for FEM using dynamic bubble system

• Published in: IEEE transactions on magnetics Vol. 37; no. 5; pp. 3522 - 3525
• Main Authors: Nagakura, S., Noguchi, S., Kaneda, K., Yamashita, H., Cingoski, V.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.09.2001; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied classical electromagnetism; Automatic generation control; Bubbles; Convergence; Dynamical systems; Dynamics; Electromagnetic analysis; Electromagnetic fields; Electromagnetism; electron and ion optics; Exact sciences and technology; Finite element method; Finite element methods; Fundamental areas of phenomenology (including applications); Laplace equations; Magnetism; Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems; Mathematical analysis; Mathematical models; Mesh generation; Physics; Physics computing; Quadrilaterals; Shape control; Smoothing methods; Finite element method; Magnetostatics; Digital simulation; Vector fields; Theoretical study; Permanent magnet motors; Electromagnetic fields; Mesh generation; Laplacian
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/20.952652

In this paper, a method for automatic quadrilateral (Quad) mesh generation using dynamic bubble system is presented. The proposed method can be separated into three separate computational processes: the first one generates nodes inside the analysis domain using physically-based system of bubbles, the second one for automatic generation of Quad finite elements using previously generated set of nodes, and the last process where the generated elements are smoothed using Laplacian smoothing operator. The proposed method is suitable and easily extendable for automatic meshing of a complex 3-D domains.