Multiquadric Method Analysis for some Flow Field Problems

• Main Authors: Peter I-Tsyuen Chang, 張以全
• Other Authors: C. H. Kong
• Format: Others
• Language: en_US
• Published: 2003
• Online Access: http://ndltd.ncl.edu.tw/handle/62739258321166206082

碩士 === 國立臺灣大學 === 工程科學與海洋工程學系 === 91 === The main topics of this thesis are to discuss and apply the mlutiquadrics meshless method to study some flow problems. The meshless method is an untraditional numerical method, and has different branches. In this study, we focus on one of the branches: the mltiquadrics method, also known as the Kansa’s method. In this thesis we first introduce the meshless method and its three branches, and then we use the Laplace equation to derive and study the simulation of multiquadrics method (MQ). Here we also discuss some restrictions of MQ. In application, our study combines the velocity-vorticity method with MQ to perform some studies on Stokes and low Reynold’s number square cavity flow, and also some studies using shallow water equations with MQ to simulate some flow field of an open channel. With comparison to other data, we find that the multiquadrics method is an efficient and simple numerical method.