Wavefront Topology System & finite element method applied to orthogonal mesh structures

Abstract

The Wavefront Topology System (WTS) is a novel algorithm which produces 3D grids in various coordinate systems. The mathematical procedure is identical for all coordinate geometries. The geometrical boundaries constrain the node insertion process for mesh topologies. In conjunction with local and global indexes, coordinates are simultaneously generated for arbitrary geometrical domains. This unique technique will demonstrate compatibility with existing finite element methods. Due to a universal approach for various coordinate systems and geometrical structures, the technique is useful in EMC modeling. For the exposition of EMC, the Laplace equation will provide a natural choice for analysis. The sparsity pattern will prove the efficiency of the algorithm. The computational complexity is also comparable to existing methods. The results will demonstrate an effective implementation of the algorithm.