Application of High-Order Accurate Scheme in DNS

XIAO Kai-tao; LIU Ji-ping; DUO Ying-xian; YUAN Xiang-jiang

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Application of High-Order Accurate Scheme in DNS

更新时间：2026-07-07

- Application of High-Order Accurate Scheme in DNS
- Vol. 21, Issue 1, (2006)
- 作者机构：
  
  1. 北京理工大学机电工程学院,北京,100081
  2. 防化研究院,北京,102205
  3. 北京理工大学材料科学与工程学院,北京,100081
  4. 国家CFD实验室,北京,100083
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2006
- 稿件说明：
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XIAO Kai-tao, LIU Ji-ping, DUO Ying-xian, et al. Application of High-Order Accurate Scheme in DNS[J]. 2006, 21(1).
DOI：

XIAO Kai-tao, LIU Ji-ping, DUO Ying-xian, et al. Application of High-Order Accurate Scheme in DNS[J]. 2006, 21(1). DOI：

摘要

利用不同格式模拟扰动波在平板边界层中的传播

考察了格式对T-S波传播过程计算结果的影响。研究了不同计算格式对自由剪切层扰动波增长的影响

结果表明:对于二维扰动波模型

采用二阶精度格式

扰动波在平板边界层中只能出现衰减的结果;在自由剪切层中

虽然能模拟出扰动波在传播过程中幅值的增长

但却在相当长的计算范围内看不见三维波的出现。但对于同样的扰动模型

如果采用高精度格式

在边界层中能出现增长的T-S波

并与线性理论非常吻合;在自由剪切层中

扰动波不仅迅速增长

并能在不很长的距离内

明显的看到三维波的出现

并激发出了三维结构。

Abstract

The influence of the different finite difference schemes on the transmission of T-S waves in flat plate boundary layers and free shear flow was studied.The results show that if 2nd order scheme is used

the T-S waves always decay in the flat plate boundary layer.Although the T-S wave grows in the free shear flow

no three dimensional structures appear.If high order scheme is used

the T-S wave grows in the plate boundary layer.The results obtained by DNS agree well with linear stability theory.In the free shear layer

not only the T-S wave grows quickly in the free shear flow

but also three dimensional waves appears evidently and three dimensional structures are excited.

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