航空学报 > 1988, Vol. 9 Issue (3): 184-187

用多重网格法生成随时间变化的贴体网格

高正红   

  1. 西北工业大学
  • 收稿日期:1987-03-10 修回日期:1900-01-01 出版日期:1988-03-25 发布日期:1988-03-25

THE TIME-DEPENDENT BODY FITTED COORDINATE GENERATION USING MULTIGRID METHOD

Gao Zhenghong   

  1. Northwestern Polytechnical University
  • Received:1987-03-10 Revised:1900-01-01 Online:1988-03-25 Published:1988-03-25

摘要: 一、基本理论 为了能够准确地计算绕弹性体,特别是跨音速范围的非定常气动力,有必要建立一种快速生成的随时间变化的贴体计算网格,即通过变换ζ=ζ(x,y,t),η=η(x,y,t),ζ=ζ(x,y,t),τ=t (1)将边界形状随时间变化的物理流场(x,y,z)变换到便于计算的矩形计算空间(ζ,η,ζ)内。这样,与计算空间内计算节点相对应的流场节点的位置是随时间改变的。因此在进行流场计算时,不仅要确定流场内每一时刻计算节点的位置,同时还应确定其随时间的变化速率(x?,y?,z?)。在此主要以二维问题进行讨论。

Abstract: A multigrid method for generating the time-dependent body fitted coordinate is given in this paper. This method can be used to generate the required time-dependent computting grids in rather short computer time. So it can be used for calculating the unsteady aerodynamics of a flexible body accuratly, especially in transonic unsteady flows.The computting grids for NACA-0012 airfoil under oscillation in pitch, as well as an elastic sine model>, are shown in the paper for demonstration.