高精度数值方法在DNS中的应用  

Application of High-Order Accurate Scheme in DNS

作　　者：肖凯涛[1] 刘吉平[2] 朵英贤[2] 袁湘江 

机构地区：[1]北京理工大学机电工程学院 [2]北京理工大学材料科学与工程学院,北京100081 [3]国家CFD实验室,北京100083

出　　处：《航空动力学报》2006年第1期1-6,共6页Journal of Aerospace Power

基　　金：国家自然科学基金资助(10172015);重大研究计划资助(90205010)

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。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.

关 键 词：航空 航天推进系统 紧致格式 数值模拟 边界层 自由剪切层 

分 类 号：O354[理学—流体力学]