A Meshless Method for Potential Problems in Nonconvex Domains

• Main Authors: Hung-Mao Chen, 陳弘茂
• Other Authors: Jiahn-Horng Chen
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/12749455892321876220

碩士 === 國立臺灣海洋大學 === 系統工程暨造船學系 === 96 === The purpose of this thesis is mainly to employ the meshless method to solve potential problems in non-convex fields and to analyze the effect of parameters on the computational results. We used the inverse multiquadric radial basis function (IMQ RBF) collocation methods. For non-convex field problems, we proposed a fictitious computational domain method to study the potential problems in any computational domain. We thoroughly described the IMQ RBF collocation methods, the concept of the fictitious computational domain method and their formulations. In spite of discussing the effect of various fictitious domain shapes on a better value of c and on the accuracy of computational solution, we advocated a concept of the complexity of field shape and made a brief discussion of the effect of the variation of parameters, a better value of c, and the computational solutions. For the complexity of field shape, we used the area ratio of physical and fictitious domains as a parameter and study its effect on the choice of a better value of c and the computational results. In the end, we made a brief conclusion to the employment of meshless methods to the potential problems, multi-boundary conditions, non-convex problems, and the mutual effect of the parameter on field shape complexity to the computational solutions.