Application of the Multilevel Fast Multipole Method on the Analysis of Barrier
Date Issued
2010
Date
2010
Author(s)
Lin, Yu-Chieh
Abstract
The purpose of this study is to investigate the scattering problems of a cylinder and barriers when applying the Multilevel Fast Multipole Method (MLFMM), and the value of insertion loss was applied as an indicator to estimate the effects of barriers. Firstly, a detailed introduction by MLFMM was illustrated. The main idea of MLFMM is to expand the kernel function into degenerate kernels which can separate the field point and source point, and then construct the tree structure. Furthermore, the translation and expansion was used to analyse node-to-node interactions. Compared with conventional Boundary Element Method (BEM), MLFMM can accelerate the computational time and the memory requirement can also be reduced. In regard of the unlimited property of the tree structure and infinite series of the expansion, a detailed study for a number of terms and levels of tree structure were investigated. Finally, the effects of rectangular, T-shaped and the refined T-shaped barriers were also studied. This study may contribute to the design of the barriers in the near future.
Subjects
Multilevel Fast Multipole Method
Scattering
Barrier
Insertion Loss
Kernel function
Tree structure
Translation
Expansion
Type
thesis
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