The Method of Fundamental Solutions with Parameter Transformations for Potential and Diffusion in Non-homogeneous Material Problems
Date Issued
2007
Date
2007
Author(s)
Chu, Je-Jium
DOI
en-US
Abstract
This thesis mainly describes the combination of the method of fundamental solutions (MFS) and numerical transformation to solve potential and diffusion problems in non-homogeneous materials. The MFS is a meshless method which belongs to boundary-type method. For the potential and diffusion problems in non-homogeneous materials, the results can not be simulated by the MFS directly. Non-homogeneous materials can demarcate two types in this thesis, one is functionally graded materials (FGMs); one is the heat conductivity which is not constant inside the material. FGMs is a kind of material which is composed by the materials varying from one side to another in the direction of density continuously. The transient heat diffusion problems in FGMs can be solved by the MFS employing specific the transformation’s formulation. Potential problems in non-homogeneous materials can utilize the Kirchhoff’s transformation to transfer to be linear and the results also can be solved by the MFS. The results of potential and diffusion problems in non-homogeneous materials are simulated after transformation and the results are agreement with using finite difference method or analytical solutions. The MFS is successfully applied to solve potential and diffusion problems.
Subjects
基本解法
非均質
勢能方程式
擴散方程式
無網格
功能梯度材料
熱傳導
柯西荷夫轉換法
解析解
有限差分
The method of fundamental solutions
non-homogeneous
potential equation
diffusion equation
meshless
functionally graded materials (FGMs)
nonlinear heat conductivity
Kirchhoff’s transformation
finite difference method (FDM)
analytical solution
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-96-R94521323-1.pdf
Size
23.31 KB
Format
Adobe PDF
Checksum
(MD5):6da169fe62cb02c3eee3d71db47ab378