高精度数值方法在DNS中的应用
Application of High-Order Accurate Scheme in DNS
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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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Key words:
- aerospace propulsion system /
- high-order scheme /
- boundary layer /
- free shear layer /
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[1] Liu X D,Osher S,Chen T.Weighted Essentially Non-Oscillatory Schemes[J].J.Com put.Phys.,1994,115 ; 200~ 212. [2] Pirozzoli S.Conservative Hybrid Compact-WENO Schemes for Shock-Turbulence Interaction[J].J.Comput.Phys,2001,178;81~117. [3] 袁湘江,桂业伟.高精度数值方法与非线形扰动研究(阶段报告)[R].NLCFD-200305,国家计算流体力学实验室. [4] 袁湘江,桂业伟,涂国华等.捕捉间断的高精度数值方法[J].空气动力学学报,2004,22(3);269~273.Yuan Xiangjiang,Gui Yewei,TU Guohua,et al.Study of Higher Order Accuracy Algorithm of Capturing Discontinuity[J].ACTA Aerodynamics Sinica,2004,22(3) ;269~273. [5] Thompson K W.Time Dependent Boundary Conditions for Hyperbolic Systems[J].J.Comput.Phys.,1987,168;1 ~ 24. [6] 袁湘江,赵耕夫.高速三维边界层稳定性问题的数值方法[J].空气动力学学报,1999,17(3);262~270.Yuan Xiangjiang,Zhao Genfu.Numerical Methods for High Speed 3-D Boundary Layer Stability Problem[J].ACTA Aerodynamics Sinica,1999,17 (3); 262~270. [7] Clemens N T,Mungal M G.Large-Scale Structure and Entrainment in the Supersonic Mixing Layer[J].Journal of Fluid Mechanics,1995,284;171 ~216.
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