Study on the Inflow Boundary Condition for DNS of Turbulent Boundary Layers on Supersonic Blunt Cones

DONG Ming; ZHOU Heng

Volume 29 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(8): 893-904

DONG Ming, ZHOU Heng. Study on the Inflow Boundary Condition for DNS of Turbulent Boundary Layers on Supersonic Blunt Cones[J]. Applied Mathematics and Mechanics, 2008, 29(8): 893-904.

Citation:

DONG Ming, ZHOU Heng. Study on the Inflow Boundary Condition for DNS of Turbulent Boundary Layers on Supersonic Blunt Cones[J]. Applied Mathematics and Mechanics, 2008, 29(8): 893-904.

Citation:

DONG Ming, ZHOU Heng. Study on the Inflow Boundary Condition for DNS of Turbulent Boundary Layers on Supersonic Blunt Cones[J]. Applied Mathematics and Mechanics, 2008, 29(8): 893-904.

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Study on the Inflow Boundary Condition for DNS of Turbulent Boundary Layers on Supersonic Blunt Cones

DONG Ming^1,2,
ZHOU Heng¹

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

Received Date: 2008-06-16
Rev Recd Date: 2008-06-24
Publish Date: 2008-08-15

Abstract

Abstract

For the direct numerical simulation (DNS) of turbulent boundary layers,hou to generate an appropriate infow condition is problem that needs to be considered.Amethod was proposed,by which the infow condition for spatial-mode DNS of tolbulet boundary layers on supersonic blunt Cones with different Mach number,Reynolds number and wall temperature conditions can be generated,based only on a given instant flow field obtained by a temporal-mode DNS of a turulent boundary layer on a flat plate.the effectiveness of the proposed method is shown by three typical examples,thmugh comparing its results with those obtained by other methods.
- turulent boundary layer,
- direct nnunerical simulation (DNS),
- inflow condition blunt cone,

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References(13)

References

[1]	董明，罗纪生.高超声速零攻角尖锥边界层转捩的机理[J].应用数学和力学，2007,28(8):912-920.
[2]	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.
[3]	董明，罗纪生.锥体效应对超音速湍流边界层统计特性的影响[J].力学学报，2008,40(3):394-401.
[4]	Pirozzoli S, Grasso F, Gatski T B. Direct numerical simulation and analysis of a spatially evolving supersonic turbulent boundary layer at M=2.25[J].Physics of Fluid,2004,16(3):530-545. doi: 10.1063/1.1637604
[5]	李新亮，傅德薰，马延文. 可压缩钝楔边界层转捩到湍流的直接数值模拟[J].中国科学,G辑,2004,34(4):466-480.
[6]	Lund T S, Wu X H, Squires K D.Generation of turbulent inflow data for spatially-developing boundary layer simulations[J].J Comput Phys,1998,140(2):233-258. doi: 10.1006/jcph.1998.5882
[7]	黄章峰，周恒. 湍流边界层的空间模式DNS的入口条件[J]. 中国科学,G辑,2008,38(3):310-318.
[8]	唐洪涛. 不可压缩平板边界层从层流突变为湍流的机理及湍流特性[D].博士学位论文. 天津：天津大学，2007.
[9]	Li X, Fu D, Ma Y. Direct numerical simulation of a spatially evolving supersonic turbulent boundary layer at Ma=6[J].Chinese Phys Lett,2006,23(6):1519-1522. doi: 10.1088/0256-307X/23/6/045
[10]	Guarini S E, Moser R D, Shariff K,et al.Direct numerical simulation of a supersonic turbulent boundary layer at Mach 2.5[J].J Fluid Mech,2000,414(1):1-33.
[11]	White F M.Viscous Fluid Flow[M].New York: McGraw-Hill, 1974.
[12]	Gatski T B, Erlebacher G. Numerical simulation of a spatially evolving supersonic turbulent boundary layer[R]. NASA Tech Memo,2002, 2002-211934.
[13]	Maeder T, Adams N A, Kleiser L. Direct simulation of turbulent supersonic boundary layers by an extended temporal approach[J].J Fluid Mech,2001,429(1):187-216. doi: 10.1017/S0022112000002718

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