NUMERICAL SIMULATION OF SHOCK WAVE/TURBULENCE INTERACTIONS

WANG Guolei; LU Xiyun

doi:10.6052/1000-0992-11-057

Volume 42 Issue 3

May 2012

Turn off MathJax

Article Contents

Article Navigation > Advances in Mechanics > 2012 > 42(3): 274-281

WANG Guolei, LU Xiyun. NUMERICAL SIMULATION OF SHOCK WAVE/TURBULENCE INTERACTIONS[J]. Advances in Mechanics, 2012, 42(3): 274-281. doi: 10.6052/1000-0992-11-057

Citation:

WANG Guolei, LU Xiyun. NUMERICAL SIMULATION OF SHOCK WAVE/TURBULENCE INTERACTIONS[J]. Advances in Mechanics, 2012, 42(3): 274-281. doi: 10.6052/1000-0992-11-057

WANG Guolei, LU Xiyun. NUMERICAL SIMULATION OF SHOCK WAVE/TURBULENCE INTERACTIONS[J]. Advances in Mechanics, 2012, 42(3): 274-281. doi: 10.6052/1000-0992-11-057

Citation:

WANG Guolei, LU Xiyun. NUMERICAL SIMULATION OF SHOCK WAVE/TURBULENCE INTERACTIONS[J]. Advances in Mechanics, 2012, 42(3): 274-281. doi: 10.6052/1000-0992-11-057

PDF( 198 KB)

NUMERICAL SIMULATION OF SHOCK WAVE/TURBULENCE INTERACTIONS

doi: 10.6052/1000-0992-11-057

WANG Guolei,
LU Xiyun^,

Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China

Funds: The project was supported by the National Natural Science Foundation of China (11132010, 11072236) and the Knowledge Innovation Foundation of the Chinese Academy of Science (CXJJ-11-M69).

More Information

Corresponding author: LU Xiyun
Received Date: 2011-04-18
Rev Recd Date: 2011-07-26
Publish Date: 2012-05-25

Abstract

Abstract

We provide an overview of recent progresses in numerical simulations of the shock wave/turbulence interactions, including the interactions of shock wave with homogeneous and isotropic turbulence, turbulent boundary layers, turbulent jets and wakes. The characteristics of the interaction depend on a variety of factors, such as the strength, location and shape of the shock wave, the boundary conditions, as well as the state of turbulence and the compressibility of the incoming ow. The interaction substantially results in considerable changes in the ow structures, the features of shock wave and the turbulent statistical properties. Finally, we discuss some issues in the numerical simulation of shock wave/turbulence interactions.
- shock wave,
- compressible turbulence,
- numerical simulation

FullText(HTML)

References(82)

References

1 Andreopoulos Y, Agui J H, Briassulis G. Shock wave turbulence interactions. Annu Rev Fluid Mech, 2000, 32:309-345

2 Jiang J S, Shu C W. Efficient implementation of weighted ENO scheme. J Comput Phys, 1996, 126: 202-228

3 Lele S K. Compact finite difference schemes with spectrallike resolution. J Comput Phys, 1992, 103: 16-42

4 Hill D J, Pullin D I. Hybrid tunedcenter differenceWENO method for large eddy simulations in the presence of strong shocks. J Comput Phys, 2004, 194: 435-450

5 Pirozzoli S. Conservative hybrid compact-WENO schemes for shock-turbulence interaction. J Comput Phys, 2002,178: 81-117

6 Ren Y X, Liu M, Zhang H X. A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws. J Comput Phys, 2003, 192: 365-386

7 Wang J, Wang L P, Xiao Z, et al. A hybrid numerical simulation of isotropic compressible turbulence. J Com- put Phys., 2010, 229: 5257-5279

8 Hill D J, Pantano C, Pullin D I. Large-eddy simulation and multiscale modeling of a Richtmyer-Meshkov instability with reshock. J Fluid Mech, 2006, 557: 29-61

9 Kawai S, Shankar S K, Lele S K. Assessment of localized artificial diffusivity scheme for largeeddy simulation of compressible turbulent flows. J Comput Phys, 2010,229: 1739-1762

10 Ducros F, Ferrand V, Nicoud F, et al. Large-eddy simulation of the shock/turbulence interaction. J Comput Phys,1999, 152: 517-549

11 G′enin F, Menon S. Studies of shock/turbulent shear layer interaction using large-eddy simulation. Comput Fluids,2010, 39: 80-819

12 Pirozzoli S. Numerical methods for high-speed flows. Annu Rev Fluid Mech, 2011, 43: 163-194

13 Lele S K. Compressibility effects on turbulence. Annu Rev Fluid Mech, 1994, 26: 211-254

14 Lele S K, Larsson J. Shock-turbulence interaction: what we know and what we can learn from peta-scale simulations. J Phys: Conf Ser, 2009, 180: 012032

15 Lee S, Lele S K, Moin P. Direct numerical simulation of isotropic turbulence interacting with a weak shock wave. J Fluid Mech, 1993, 251: 533-562

16 Lee S, Lele S K, Moin P. Interaction of isotropic turbulence with shock waves: effect of shock strength. J Fluid Mech, 1997, 340: 225-247

17 Mahesh K, Lele S K, Moin P. The influence of entropy fluctuations on the interaction of turbulence with a shock wave. J Fluid Mech, 1997, 334: 353-379

18 Larsson J, Lele S K. Direct numerical simulation of canonical shock/turbulence interaction. Phys Fluids, 2009, 21:126101

19 Garnier E, Sagaut P, Deville M. Large eddy simulation of shock/homogeneous turbulence interaction. Comput Flu- ids, 2002, 31: 245-268

20 Dolling D S. Fifty years of shock wave/boundary layer interaction research: what next? AIAA J, 2001, 39(8):1517-1531

21 Liou W W, Huang G, Shi T H. Turbulence model assessment for shock wave/turbulent boundary layer interaction in transonic and supersonic flows. Comput Fluids, 2000,29: 275-299

22 Gerolymos G A, Sauret E, Vallet I. Oblique shock wave/boundary layer interaction using near wall Reynolds stress models. AIAA J, 2004, 42(6): 1089-1110

23 Knight D, Yan H, Panaras A G, et al. Advances in CFD prediction of shock wave turbulent boundary layer interactions. Prog Aerosp Sci, 2003, 39: 121-184

24 Pami`es M, Weiss P ′E, Garnier E, et al. Generation of synthetic turbulent inflow data for large eddy simulation of spatially evolving wall-bounded flows. Phys Fluids, 2009,21: 045103

25 Keating A, Piomelli U, Balaras E, et al. A priori and a posteriori tests of inflow conditions for large-eddy simulation. Phys Fluids, 2004, 16(12): 4696-4712

26 Urbin G, Knight, D. Large-eddy simulation of a supersonic boundary layer using an unstructured grid. AIAA J, 2001, 39(7): 1288-1295

27 Xu S, Martin M P. Assessment of inflow boundary conditions for compressible turbulent boundary layers. Phys Fluids, 2004, 16(7): 2623-2639

28 Pirozzoli S, Bernardini M, Grasso F. Characterization of coherent vortical structures in a supersonic turbulent boundary layer. J Fluid Mech, 2008, 613: 205-231

29 Garnier E, Sagaut P, Deville M. Large eddy simulation of shock/boundarylayer interaction. AIAA J, 2002, 40(10):1935-1944

30 Teramoto S. Large-eddy simulation of transitional boundary layer with impinging shock wave. AIAA J, 2005,43(11): 2354-2363

31 Pirozzoli S, Grasso F. Direct numerical simulation of impinging shock wave/turbulent boundary layer interaction at M = 2:25. Phys Fluids, 2006, 18: 065113

32 Touber E, Sandham N D. Large-eddy simulation of lowfrequency unsteadiness in a turbulent shock-induced separation bubble. Theor Comput Fluid Dyn, 2009, 23: 79-107

33 Priebe S, Wu M Martin M P. Direct numerical simulation of a reflected-shock-wave/turbulent boundarylayer interaction. AIAA J, 2009, 47(5): 1173-1185

34 Pirozzoli S, Bernardini M, Grasso F. Direct numerical simulation of transonic shock/boundary layer interaction under conditions of incipient separation. J Fluid Mech, 2010,657: 361-393

35 Bernardini M, Pirozzoli S, Grasso F. The wall pressure signature of transonic shock/boundary layer interaction. J Fluid Mech, 2011 671: 288-312

36 Adams N A. Direct simulation of the turbulent boundary layer along a compression ramp at M = 3 and Re_θ = 1 685. J Fluid Mech, 2000, 420: 47-83

37 Loginov M S, Adams N A, Zheltovodov A A. Large-eddy simulation of shock wave/turbulent boundary layer interaction. J Fluid Mech, 2006, 565: 135-169

38 von Kaenel R, Kleiser L, Adams N A, et al. Large eddy simulation of shock turbulence interaction. AIAA J, 2004,42(12): 2516-2528

39 Wu M, Martin M P. Direct numerical simulation of supersonic turbulent boundary layer over a compression ramp. AIAA J, 2007, 45(4): 879-889

40 Wu M, Martin M P. Analysis of shock motion in shockwave and turbulent boundary layer interaction using direct numerical simulation data. J Fluid Mech, 2008, 594:71-83

41 李新亮, 傅德薰, 马延文, 等. 压缩折角激波-湍流边界层干扰直接数值模拟. 中国科学: 物理学力学天文学, 2010, 40:791-799

42 Sandham N D, Yao Y F, Lawal A A. Large-eddy simulation of transonic turbulent flow over a bump. Int J Heat & Fluid Flow, 2003, 24: 584-595

43 Wollblad C, Davidson L, Eriksson L E. Large eddy simulation of transonic flow with shock wave/turbulent boundary layer interaction. AIAA J, 2006, 44(10): 2340-2353

44 Chen L W, Xu C Y, Lu X Y. Numerical investigation of the compressible flow past an airfoil. J Fluid Mech, 2010,643: 97-126

45 Krishnan L, Sandham N D, Steelant J. Shock wave/boundary layer interactions in a model scramjet intake. AIAA J, 2009, 47(7): 1680-1691

46 Chauvet N, Deck S, Jacquin L. Numerical study of mixing enhancement in a supersonic round jet. AIAA J, 2007,45(7): 1675-1687

47 Berglund M, Fureby M. LES of supersonic combustion in a scramjet engine model. Proc Combust Inst, 2007, 31:2497-2504

48 Seiner J M, Dash S M, Kenzakowski, D C. Historical survey on enhanced mixing in scramjet engines. J Propul Power, 2001, 17(6): 1273-1286

49 Gruber M R, Nejad A S, Chen T H, et al. Mixing and penetration studies of sonic jets in a Mach 2 freestream. J Propul Power, 1995, 11(2): 315-323

50 Shang J S. Plasma injection for hypersonic blunt-body darg reduction. AIAA J, 2002, 40(6): 1178-1186

51 Fujita M. Axisymmetric oscillations of an opposing jet from a hemispherical nose. AIAA J, 1995, 33(10): 1850-1856

52 Chen L W, Wang G L, Lu X Y. Numberical investigation of a jet from a blunt body opposing a supersonic flow. J Fluid Mech, 2011, 684: 85-110

53 Chauvet N, Deck S, Jacquin L. Shock patterns in a slightly under expanded sonic jet controlled by radial injections. Phys Fluids, 2007, 19: 048104

54 Panda J. An experimental investigation of screech noise generation. J Fluid Mech, 1999, 378: 71-96

55 Tam C K W. Supersonic jet noise. Annu Rev Fluid Mech,1995, 27: 17-43

56 Tam C K W. Jet noise: since 1952. Theoret Comput Fluid Dynamics, 1998, 10: 393-405

57 Raman G. Supersonic jet screech: half-century from powell to the present. J Sound Vibration, 1999, 225(3): 543-571

58 Li X D, Gao J H. Numerical simulation of the three dimensional screech phenomenon from a circular jet. Phys Fluids, 2008, 20:035101

59 Krothapalli A, Rajkuperan E, Alvi F, et al. Flow field and noise characteristics of a supersonic impinging jet. J Fluid Mech, 1999, 392: 155-181

60 Dauptain A, Cuenot B, Gicquel L Y M. Large eddy simulation of stable supersonic jet impinging on flat plate. AIAA J, 2010, 48(10): 2325-2338

61 G′enin F, Menon S. Simulation of turbulent mixing behind a strut injector in supersonic flow. AIAA J, 2010, 48(3):526-539

62 Wang G L, Lu X Y. Effects of the jet-to-crossflow momentum ratio on a sonic jet into a supersonic crossflow. Theor Appl Mech Lett, 2011, 1(1): 012005

63 Kawai S, Lele S K. Large-eddy simulation of jet mixing in supersonic crossflows. AIAA J, 2010, 48(9): 2063-2083

64 G′enin F. Menon S. Dynamics of sonic jet injection into supersonic crossflow. J Turbul, 2010, 11(4): 1-30

65 Gruber M R, Nejad A S, Chen T H, et al. Transverse injection from circular and elliptic nozzles into a supersonic crossflow. J Propul Power, 2000, 16(3): 449-457

66 孙明波. 超声速来流稳焰凹腔的流动及火焰稳定机制研究: [博士论文]. 长沙: 国防科学技术大学, 2008. 1-184

67 Tomioka S, Jacobsen L S, Schetz J A. Sonic injection from diamond-shaped orifices into a supersonic crossflow. J Propul Power, 2003, 19(1): 104-114

68 Murugappan S, Gutmark E, Carter C, et al. Transverse supersonic controlled swirling jet in a supersonic cross stream. AIAA J, 2006, 44(2): 290-300

69 Kouchi T, Sasaya K, Watanabe J, et al. Penetration characteristics of pulsed injection into supersonic crossflow. AIAA paper, 2010-6645, 2010

70 Beresh S J, Henfling J F, Erven R J, et al. Turbulent characteristics of a transverse supersonic jet in a subsonic compressible crossflow. AIAA J, 2005, 43(11): 2385-2394

71 Beresh S J, Heineck J T, Walker S M. Planar velocimetry of jet/fin interaction on a full-scale flight vehicle configuration. AIAA J, 2007, 45(8): 1827-1840

72 Shah S B H. 超声速流中反向和横向射流及静止流中射流的数值研究: [博士论文]. 合肥: 中国科学技术大学, 2010.1-166

73 Shah S B H, Lu X Y. Computational study of drag reduction at various freestream flows using a counterflow jet from a hemispherical cylinder. Engin Appl Comput Fluid Mech, 2010, 4(1): 150-163

74 陈立为. 具有激波和湍流旋涡分离的可压缩绕流数值研究: [博士论文]. 合肥: 中国科学技术大学, 2010. 1-157

75 许常悦. 圆柱可压缩绕流及其流动控制的大涡模拟研究: [博士论文]. 合肥: 中国科学技术大学, 2009. 1-129

76 Botta N. The inviscid transonic flow about a cylinder. J Fluid Mech, 1995, 301: 225-250

77 Xu C Y, Chen L W, Lu X Y. Effect of mach number on transonic flow past a circular cylinder. Chin Sci Bull,2009, 54: 1886-1893

78 Xu C Y, Chen L W, Lu X Y. Numerical simulation of shock wave and turbulence interaction over a circular cylinder. Mod Phys Lett B, 2009, 23: 233-236.

79 Xu C Y, Chen L W, Lu X Y. Large-eddy simulation of the compressible flow past a wavy cylinder. J Fluid Mech,2010, 665: 238-273

80 Yun G, Choi H. Sound characteristics from turbulent flow over a sphere. AIAA paper, 2004-2916, 2004

81 Simon F, Deck S, Guillen P, et al. Numerical simulation of the compressible mixing layer past an axisymmetric trailing edge. J Fluid Mech, 2007, 591: 215-253

82 Sandberg R D, Fasel H F. Numerical investigation of transitional supersonic axisymmetric wakes. J Fluid Mech,2006, 563: 1-41

Relative Articles

Supplements(0)

Cited By

Proportional views