计算物理 ›› 2001, Vol. 18 ›› Issue (4): 303-307.

• 论文 • 上一篇    下一篇

可压涡卷空间演化的迎风紧致差分数值模拟

王强, 傅德薰, 马延文   

  1. 中国科学院力学研究所, 非线性连续介质力学开放研究实验室, 北京 100080
  • 收稿日期:1999-12-24 修回日期:2000-06-19 出版日期:2001-07-25 发布日期:2001-07-25
  • 作者简介:王强(1967-),男,安徽桐城,博士,工程师,北京7201信箱16分箱,100074.
  • 基金资助:
    国家自然科学基金(19972070)及国家重点基础研究与专项经费(G1999032805)资助项目

NUMERICAL SIMULATIONS OF SPATIALLY-DEVELOPING COMPRESSIBLE VORTEX ROLLUP USING A UPWIND COMPACT DIFFERENCE METHOD

WANG Qiang, FU De-xun, MA Yan-wen   

  1. LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P R China
  • Received:1999-12-24 Revised:2000-06-19 Online:2001-07-25 Published:2001-07-25

摘要: 从数值算法的耗散和色散特征的时空全离散Fourier分析出发,通过直接求解二维非定常可压Navier Stokes方程,将发展的5阶迎风紧致差分格式用于无约束可压平面受迫剪切层中基频涡卷空间演化过程的数值模拟.采用被动守恒标量等方法显示了基频涡卷的饱和、一次对并、二次对并等现象,据此探讨了入口来流亚谐扰动引起的初值效应问题,表明可压大尺度涡结构空间演化形态与受迫扰动方式之间存在关联.

关键词: 可压剪切层, 迎风紧致格式, 涡卷, 对并

Abstract: The temporal spatial discrete Fourier transformation is employed to analyze the dissipation and dispersion errors of the numerical algorithm used here. Based on directly solving the two dimensional time dependent compressible Navier Stokes equations, the spatial evolution of primary vortex generated in forced compressible plane free shear layers is simulated numerically by using a new fifth order upwind compact difference scheme. The phenomena, including the primary vortex saturating, the first pairing, and the second pairing, are shown with the passively conserved scalar method and so on. The initial value effect related to subharmonic disturbances in incoming flows is studied. The results show that the spatial evolution type of large scale compressible vortices is associated with the disturbance modes.

Key words: compressible shear layer, upwind compact scheme, rollup, pairing

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