The Local Multiquadric Differential Quadrature Method for Poisson, Helmholtz Eigenvalue and Cavity Flow Problems
Date Issued
2006
Date
2006
Author(s)
Kuo, Yao-Chi
DOI
en-US
Abstract
In this thesis, we employ the meshless local Multiquadric Differential Quadrature method (LMQDQ method) to deal with the Poisson, Helmholtz eigenvalue and cavity flow problems. Meshless methods can be classified as lots of categories. The numerical method in this thesis combines the Multiquadric method (MQ method) and the domain decomposition technique in Differential Quadrature (DQ) form. Thus, this method keeps the mesh-free property. We will discuss this method in the thesis and compare the results with those obtained by the conventional MQ method, analytic solutions or numerical solutions made by other methods. The main contribution of the thesis is to employ LMQDQ method to solve irregular domain problem and the behavior analysis of this method. These results indicate that this method is reliable and efficient.
Subjects
多元二次法
微分積分法
區域多元二次微分積分法
區域分解技術
卜易松方程式
赫姆霍茲特徵值問題
穴室流場問題
Multiquadric method
Differential Quadrature method
local Multiquadric Differential Quadrature method
domain decomposition technique
Poisson equation
Helmholtz eigenvalue problem
cavity flow problem
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-95-R92521319-1.pdf
Size
23.31 KB
Format
Adobe PDF
Checksum
(MD5):6bec792179898bac213ec5ff83ec0f6b