A New Method for Computing Laminar-Tubulent Trasition and Turbulence in Compressible Boundary Layers—PSE+DNS

DONG Ming; ZHANG Yong-ming; ZHOU Heng

Volume 29 Issue 12

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(12): 1387-1394

DONG Ming, ZHANG Yong-ming, ZHOU Heng. A New Method for Computing Laminar-Tubulent Trasition and Turbulence in Compressible Boundary Layers—PSE+DNS[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1387-1394.

Citation:

PDF( 295 KB)

A New Method for Computing Laminar-Tubulent Trasition and Turbulence in Compressible Boundary Layers—PSE+DNS

1.
Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;

Received Date: 2008-09-27
Rev Recd Date: 2008-10-16
Publish Date: 2008-12-15

Abstract

Abstract

A new method for computing the laminar-turbulent transition and turbulence in compressible boundary layers was proposed.It is especially useful for the computation of laminar-turbulent transition and turbulence starting from small-amplitude disturbances.The laminar stage,up to the beginning of the breakdown in laminar-turbulent transition,was computed by parabolized stability equations(PSE).Then the direct numerical simulations(DNS) method was employed to compute the transition process and turbulent flow,for which the inflow condition was provided by using the disturbances obtained by PSE method up to that stage.In the two test cases,including a subsonic and a supersonic boundary layer,the transition locations and the turbulent flow obtained by this method agree well with those obtained by using only DNS method for the whole process.The merit of using our method is that the computational cost is much smaller than that using only DNS method.
- transition,
- turbulence,
- parabolized stability equations,
- direct numerical simulations

FullText(HTML)

References(6)

References

[1]	张永明，周恒.抛物化稳定性方程在可压缩边界层中应用的检验[J].应用数学和力学, 2007,28(8): 883-893.
[2]	张永明，周恒.PSE在超音速边界层二次失稳问题中的应用[J].应用数学和力学,2008,29(1):1-7.
[3]	张永明，周恒.PSE在可压缩边界层转捩问题中的应用[J].应用数学和力学,2008,29(7):757-763.
[4]	董明.马赫数为6的零攻角钝锥湍流边界层空间演化的直接数值模拟[A].见: 第6届西北地区计算物理学术会议论文集[C].陕西汉中，2008，90-97.
[5]	黄章峰.超音速平板边界层从层流到湍流的转捩机理及湍流特性[D].博士学位论文.天津:天津大学,2006.
[6]	李宁.基于空间模式的平板边界层层流到湍流转捩的研究[D].博士学位论文.天津:天津大学,2007.

Relative Articles

[1]	CHEN Sisi, LI Xulong, ZHANG Chaonan, QIN Juanjuan, ZHAO Bingxin. Numerical Simulations of Double-Diffusive Convection in Different Liquid Metals Under Magnetic Fields[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1473-1482. doi: 10.21656/1000-0887.440347
[2]	HE Xiaoqiu, XIONG Yongliang, XU Shun, PENG Zerui, CHEN Bo. Numerical Simulation of the Quasi-2D Turbulence on a Half Soap Bubble Heated at the Bottom[J]. Applied Mathematics and Mechanics, 2022, 43(10): 1086-1104. doi: 10.21656/1000-0887.430143
[3]	XIA Sheng-yong, HU Chun-bo. Direct Numerical Simulation of Head-on Binary Collision of Aluminum Oxide Droplets[J]. Applied Mathematics and Mechanics, 2014, 35(4): 377-388. doi: 10.3879/j.issn.1000-0887.2014.04.004
[4]	GE Ming-wei, XU Chun-xiao, HUANG Wei-xi, CUI Gui-xiang. Transient Response of Enstrophy Transport to Opposition Control in Turbulent Channel Flow[J]. Applied Mathematics and Mechanics, 2013, 34(2): 139-148. doi: 10.3879/j.issn.1000-0887.2013.02.004
[5]	LI Jia, LUO Ji-sheng. Applications of PSE to Predict the Transition Position in Boundary Layers[J]. Applied Mathematics and Mechanics, 2012, 33(6): 643-650. doi: 10.3879/j.issn.1000-0887.2012.06.001
[6]	LIU Jian-xin, LUO Ji-sheng. Effect of Disturbances at Inlet on Hypersonic Boundary Layer Transition on a Blunt Cone at Small Angle of Attack[J]. Applied Mathematics and Mechanics, 2010, 31(5): 505-515. doi: 10.3879/j.issn.1000-0887.2010.05.001
[7]	GE Ming-wei, XU Chun-xiao, CUI Gui-xiang. Direct Numerical Simulation of Flow in a Channel With Time-Dependent Wall Geometry[J]. Applied Mathematics and Mechanics, 2010, 31(1): 91-101. doi: 10.3879/j.issn.1000-0887.2010.01.010
[8]	SUN Zhen-xu, ZHAO Xiao-li, SONG Jing-jing, DU Te-zhuan. Numerical Investigation on a Transition Prediction Model[J]. Applied Mathematics and Mechanics, 2009, 30(12): 1463-1472. doi: 10.3879/j.issn.1000-0887.2009.12.007
[9]	ZHANG Nan, LU Li-peng, DUAN Zhen-zhen, YUAN Xiang-jiang. Numerical Simulation of Quasi-Streamwise Hairpin-Like Vortex Generation in a Turbulent Boundary Layer[J]. Applied Mathematics and Mechanics, 2008, 29(1): 13-20.
[10]	ZHANG Yong-ming, ZHOU Heng. PSE as Applied to Problems of Transition in Compressible Boundary Layers[J]. Applied Mathematics and Mechanics, 2008, 29(7): 757-763.
[11]	DONG Ming, LUO Ji-sheng. Mechanism of Transition in a Hypersonic Sharp Cone Boundary Layer With Zero Angle of Attack[J]. Applied Mathematics and Mechanics, 2007, 28(8): 912-920.
[12]	SU Cai-hong, ZHOU Heng. Stability Analysis and Transition Prediction of Hypersonic Boundary Layer Over a Blunt Cone With Small Nose Bluntness at Zero Angle of Attack[J]. Applied Mathematics and Mechanics, 2007, 28(5): 505-513.
[13]	ZHANG Yong-ming, ZHOU Heng. Verification of the Parabolized Stability Equationsfor Its Application to Compressible Boundary Layers[J]. Applied Mathematics and Mechanics, 2007, 28(8): 883-893.
[14]	CAO Wei, HUANG Zhang-feng, ZHOU Heng. Study of the Mechanism of Breakdown in Laminar-Turbulent Transition of a Supersonic Boundary Layer on a Flat Plate[J]. Applied Mathematics and Mechanics, 2006, 27(4): 379-386.
[15]	LI Ming-jun, GAO Zhi. Analysis and Application of Ellipticity of Stability Equations on Fluid Mechanics[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1179-1185.
[16]	Hu Chunbo, Wei Jinjia, Jiang Peizheng, Miao Yongmiao. A Numerical Study of Bingham Turbulent Flow in Sudden-Expansion Straight Circular Pipe[J]. Applied Mathematics and Mechanics, 1998, 19(11): 1014-1020.
[17]	Ding Yan, Zhou Xueyi, Yu Changzhao, Liang Dong. The Equations of Complete Depth-Averaged Turbulence Model in General Orthogonal Coordinates[J]. Applied Mathematics and Mechanics, 1996, 17(1): 53-61.
[18]	Guo Jiahong, Xu Hongyi. Numerical Simulation of Three Dimensional Turbulent Flow in Suddenly Expanded Rectangular Duct[J]. Applied Mathematics and Mechanics, 1996, 17(4): 349-356.
[19]	Shi Wei-hui. Stability of the Navier-Stokes Equation(Ⅰ)[J]. Applied Mathematics and Mechanics, 1994, 15(9): 821-822.
[20]	Su Ming-de, R. Friedich. The examination of Turbulence Modeling with LES Database[J]. Applied Mathematics and Mechanics, 1994, 15(11): 991-997.