A fast algorithm of solving N-S equation based on collocated grids
Received:October 25, 2008  
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DOI:10.7511/jslx20105009
KeyWord:SIMPLE algorithm  collocated grids  convergence  CFD
              
AuthorInstitution
徐涛 吉林大学 汽车动态模拟国家重点实验室,长春 ;吉林大学 机械科学与工程学院,长春
葛长江 吉林大学 机械科学与工程学院,长春
李亦文 吉林大学 机械科学与工程学院,长春
徐天爽 吉林大学 机械科学与工程学院,长春
郭桂凯 吉林大学 机械科学与工程学院,长春
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Abstract:
      The SIMPLEM algorithm is established based on collocated grids by using finite volume method. In the algorithm, the pressure field and velocity field are coupled and meet continuity equation and momentum conservation equation much better, the influence of convection-diffusion term for velocity correction on numbering nodes and the synchrony between source term and velocity field are considered. The process of derivation and the numerical simulation of the lid-driven square cavity flow are given. A collocated arrangement of variables is introduced on numerical grids, and the cell face velocities are calculated by momentum interpolation. Numerical results include the relationship between outer iteration numbers and residuals of different conditions and the convergence of different algorithm. Results show that the present method is accurate and feasible.