Application of SIMPLE Algorithm with Spectral Element Method for flow problem

• Main Authors: Yung-Ming Hsu, 許永明
• Other Authors: Ruey-Hor Yen
• Format: Others
• Language: zh-TW
• Published: 2001
• Online Access: http://ndltd.ncl.edu.tw/handle/93091160419621847789

碩士 === 國立臺灣大學 === 機械工程學研究所 === 89 === Developing and utilizing the steady-state solver with the implicit time integration is the main purpose of this paper. The characteristics of implicit scheme and the spectral element method are both introduced into solving the incompressible Navier-Stokes equation and applied on the flow field with complicated geometry. In this research, we use the iterative solver, GMRES, for the asymmetric system matrices of the implicit schemes, i.e., fully-implicit, SIMPLE, and PISO methods. Preconditioners on the iterative solver are also explored the capabilities and the efficiencies of the programs. Firstly, the example with exact solution verifies the spectral accuracy of the programs. The following three examples, the cavity flow, the sudden expansion flow, and the flow past a circular cylinder, are simulated to test the computational efforts and efficiencies of each methods. PISO method is the best as result shown.