Abstract
Hypersonic boundary layer transition induced by an isolated cylindrical roughness element is investigated using direct numerical simulation method based on a finite volume formulation. To simulate the transition procedure by resolving the generation and evolvement of small-scale coherent structures, and capture the shock wave at the same time, high-order minimum dispersion and controllable dissipation scheme is validated and then applied. The results are compared with the available measurements in the quiet wind tunnel, such as the dominated frequency and root mean square of pressure. The computational dominated frequency of 19.23 kHz is very close to the experimental one, 21 kHz. Also, the disturbances of the roughness are mostly generated by the “jet” just before the roughness, and then they travel and develop downstream with the shear layer and vortex shedding. The transition is mainly dominated by the instabilities of both the horseshoe vortex and the shear layer.
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References
Whitehead A Jr. NASP aerodynamics. AIAA paper 1989–5013, 1989
van Driest E R, Blumer C B. Boundary-layer at supersonic speedsthree dimensional roughness effects (spheres). J Aero Sci, 1962, 29: 909–916
Bertin J J, Stetson K F, Bouslog S A, et al. Effect of isolated roughness elements on boundary layer transition for shuttle orbiter. AIAA paper 1996-1906, 1996
Berry S A, Bouslog S A, Brauckmann G J, et al. Boundary layer transition due to isolated roughness-shuttle results from the LaRC 20-inch Mach 6 tunnel. AIAA paper 1997-273, 1997
Berry S A, Auslender A H, Dilley A D, et al. Hypersonic boundary layer trip development for Hyper-X. J Spacecraft Rockets, 2001, 38: 853–864
Borg M P, Schneider S P. Effect of freestream noise on roughnessinduced transition for the X-51A forebody. J Spacecraft Rockets, 2008, 45: 1106–1116
Danehy P M, Bathel B F, Ivey C B, et al. NO PLIF study of hypersonic transition over a discrete hemispherical roughness element. AIAA paper 2009-394, 2009
Danehy P M, Ivey C B, Inman J A, et al. High-speed PLIF imaging of hypersonic transition over discrete cylindrical roughness. AIAA paper 2010-703, 2010
Tirtey S C, Chazot O, Walpot L. Characterization of hypersonic roughness-induced boundary-layer transition. Exp Fluid, 2011, 50: 407–418
Wheaton B M, Schneider S P. Roughness-induced instability in a hypersonic laminar boundary layer. AIAA J, 2012, 50: 1245–1256
Wheaton B M, Schneider S P. Instability and transition due to near-critical roughness in a hypersonic laminar boundary layer. AIAA paper 2013-84, 2013
Li X L, Fu D X, Ma Y W. Direct numerical simulation of hypersonic boundary-layer transition over a blunt wedge (in Chinese). Sci China Ser G-Phys Mech Astron, 2004, 34: 466–480
Li X L, Fu D X, Ma Y W. Direct numerical simulation of hypersonic boundary-layer transition over a blunt cone. AIAA J, 2008, 46: 2899–2913
Li X L, Fu D X, Ma Y W. Direct numerical simulation of hypersonic boundary-layer transition over a blunt cone with a small angle of attack. Phys Fluid, 2010, 22: 025105
Dong M, Zhou H. A simulation on bypass transition and its key mechanism. Sci China-Phys Mech Astron, 2013, 56: 775–784
Iyer P S, Muppidi S, Mahesh K. Transition of hypersonic flow past flat plate with roughness elements. AIAA paper 2010-5015, 2010
Iyer P S, Muppidi S, Mahesh K. Roughness-induced transition in high speed flows. AIAA paper 2011-566, 2011
Bernardini M, Pirozzoli S, Orlandi P. Compressibility effects on roughness-induced boundary layer transition. Int J Heat Fluid Flow, 2012, 35: 45–51
Bartkowicz M D, Subbareddy P K, Candler G V. Numerical simulations of roughness induced instability in the Purdue Mach 6 wind tunnel. AIAA paper 2010-4723, 2010
Wheaton B M, Bartkowicz M D, Subbareddy P K, et al. Roughness-induced instabilities at Mach 6: A combined numerical and experimental study. AIAA paper 2011-3248, 2011
Yoon S, Barnhardt M D, Candler G V. Simulations of high-speed flow over an isolated roughness. AIAA paper 2010-1573, 2010
Duan Z W, Xiao Z X, Fu S. Simulation of transition triggered by isolated roughness in hypersonic boundary layer. AIAA paper 2012-3076, 2012
Serino G, Pinna F, Rambaud P. Numerical computations of hypersonic boundary layer roughness induced transition on a flat plate. AIAA paper 2012-568, 2012
Xiao Z X, Zhang M H, Xiao L H, et al. Studies of roughness-induced transition using three-equation k-ω-γ transition/turbulence model. AIAA paper 2013-3111, 2013
Xiao Z X, Liu J, Huang J B, et al. Numerical dissipation effects on the massive separation around tandem cylinders. AIAA J, 2012, 50: 1119–1136
Xiao Z X, Liu J, Luo K Y, et al. Numerical investigation of massively separated flows past rudimentary landing gear using advanced DES approaches. AIAA J, 2013, 51: 107–125
Huang J B, Xiao Z X, Liu J, et al. Simulation of shock wave buffet and its suppression on an OAT15A supercritical airfoil by IDDES. Sci China-Phys Mech Astron, 2012, 55: 260–271
Sun Z S, Ren Y X, Larricq C, et al. A class of finite difference schemes with low dispersion and controllable dissipation for DNS of compressible turbulence. J Comput Phys, 2011, 230: 4616–4635
Wang Q J, Ren Y X, Sun Z S, et al. Low dispersion finite volume scheme based on reconstruction with minimized dispersion and controllable dissipation. Sci China-Phys Mech Astron, 2013, 56: 423–431
Jiang G S, Shu C W. Efficient implementation of weighted ENO schemes. J Comput Phys, 1996, 126: 202–228
Fu S, Xiao Z X, Chen H X, et al. Simulation of wing-body Junction flows with hybrid RANS/LES methods. Int J Heat Fluid Flow, 2007, 28: 1379–1390
Bartkowicz M D. Numerical Simulations of Hypersonic Boundary Layer Transition. Dissertation for the Doctoral Degree. Minnesota: University of Minnesota, 2012
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Duan, Z., Xiao, Z. & Fu, S. Direct numerical simulation of hypersonic transition induced by an isolated cylindrical roughness element. Sci. China Phys. Mech. Astron. 57, 2330–2345 (2014). https://doi.org/10.1007/s11433-014-5556-4
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DOI: https://doi.org/10.1007/s11433-014-5556-4