Steady State Solver for the Navier Stokes Equations

• Main Authors: Lo Shih-Peng, 羅時朋
• Other Authors: 顏瑞和
• Format: Others
• Language: zh-TW
• Published: 1998
• Online Access: http://ndltd.ncl.edu.tw/handle/70963295924095746163

碩士 === 國立臺灣大學 === 機械工程學研究所 === 87 === To obtain a steady state solution for the Navier Stokes equations, the time approach method is usually applied. If the convection is integrated explicitly, the time step is limited by the stability condition. On the other hand, if the convection is integrated implicitly, the nonlinear convection terms are solved iteratively. In this research a novel steady state solver was proposed. This method is based on the fully implicit time integration scheme and it is applied to the fractional time splitting scheme. In order to come to the convergence solution quickly, In the step to solve the pressure . The Laplace form of the pressure in the steady state is imposed . In the second step the equations consists of convection and diffusion terms for the velocity variables. This nonlinear convection term is linearized by lagging the convective velocity. The resulting equation is solved by the biorthogonal conjugate gradient method. The numerical experiments show that this method is promising, but further study is needed to understand whether this method can be applied to different kinds of the problems.