Constrained large-eddy simulation of laminar-turbulent transition in compressible channel flows

Sanmu Chen1, Zhou Jiang2, Minping Wan1, Shiyi Chen3
1Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, 518055, China
2College of Aerospace Engineering, Chongqing University, Chongqing 400044, China
3Guangdong-Hong Kong-Macao Joint Laboratory for Data-Driven Fluid Mechanics and Engineering Applications, Southern University of Science and Technology, Shenzhen, 518055, China

Tóm tắt

AbstractAn improved approach for constrained large-eddy simulations (CLES) of wall-bounded compressible transitional flows is proposed by introducing an intermittency factor. The improved model is tested and validated with compressible channel flows at various Mach numbers and Reynolds numbers that are transitioning from laminar to turbulent states. The improved model is compared against traditional dynamic Smagorinsky model (DSM) and Direct Numerical Simulations (DNS), where the improved model is in better agreement with DNS results than traditional DSM model, in terms of mean velocity profiles, total Reynolds stress and total heat flux. Therefore, the proposed method can be used to accurately predict the temporal laminar-turbulent transition process of compressible wall-bounded flows.

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Tài liệu tham khảo

Zhong X, Wang X (2012) Direct numerical simulation on the receptivity, instability, and transition of hypersonic boundary layers. Ann Rev Fluid Mech 44(1):527–561

Li F, Xie SF, Bi ZX, Gong J, Chen X, Ji F et al (2014) Experimental study of several on aerodynamic problems on hypersonic vehicles. Mod Def Technol 42(5):1–7

Fu S, Wang L (2013) RANS modeling of high-speed aerodynamic flow transition with consideration of stability theory. Prog Aerosp Sci 58:36–59

Orszag SA, Kells LC (1980) Transition to turbulence in plane Poiseuille and plane Couette flow. J Fluid Mech 96(1):159–205

Sayadi T, Hamman CW, Moin P (2013) Direct numerical simulation of complete H-type and K-type transitions with implications for the dynamics of turbulent boundary layers. J Fluid Mech 724:480–509

Zhao Y, Yang Y, Chen S (2016) Vortex reconnection in the late transition in channel flow. J Fluid Mech 802:R4. https://doi.org/10.1017/jfm.2016.492

Ducros F, Comte P, Lesieur M (1996) Large-eddy simulation of transition to turbulence in a boundary layer developing spatially over a flat plate. J Fluid Mech 326:1–36. https://doi.org/10.1017/S0022112096008221

Sayadi T, Moin P (2010) A comparative study of subgrid scale models for the prediction of transition in turbulent boundary layers. Annual Research Briefs 2010, Center for Turbulence Research, Stanford University, p 237–247. https://www.researchgate.net/publication/252698427_A_Comparative_Study_of_Subgrid_Scale_Models_for_Prediction_of_Transition_in_Turbulent_Boundary_Layers

Smagorinsky J (1963) General circulation experiments with the primitive equations: I. the basic experiment. Mon Weather Rev 91(3):99–164

Erlebacher G, Hussaini MY, Speziale CG, Zang TA (1992) Toward the large-eddy simulation of compressible turbulent flows. J Fluid Mech 238:155–185

Ghosal S, Lund TS, Moin P, Akselvoll K (1995) A dynamic localization model for large-eddy simulation of turbulent flows. J Fluid Mech 286:229–255

Yu C, Hong R, Xiao Z, Chen S (2013) Subgrid-scale eddy viscosity model for helical turbulence. Phys Fluids 25(9):095101

Zhou H, Li X, Qi H, Yu C (2019) Subgrid-scale model for large-eddy simulation of transition and turbulence in compressible flows. Phys Fluids 31(12):125118

Piomelli U, Balaras E (2002) Wall-layer models for large-eddy simulations. Ann Rev Fluid Mech 34(1):349–374

Menter FR, Langtry RB, Likki SR, Suzen YB, Huang PG, Völker S (2004) Acorrelation-based transitionmodel using local variables—Part I: model formulation. J Turbomach 128:413–422

Langtry RB, Menter FR, Likki SR, Suzen YB, Huang PG, Völker S (2004) A correlation-based transitionmodel using local variables—Part II: Test cases and industrial applications. J Turbomach 128:423–434

Langtry RB, Menter FR (2009) Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes. AIAA J 47(12):2894–2906

Krause M, Behr M, Ballmann J (2008) Modeling of transition effects in hypersonic intake flows using a correlation-based intermittency model. In: 15th AIAA international space planes and hypersonic systems and technologies conference, American Institute of Aeronautics and Astronautics, Dayton, 28 April–1 May 2008

Bensassi K, Lani A, Rambaud P (2012) Numerical investigations of local correlation-based transition model in

hypersonic flows. In: 42nd AIAA fluid dynamics conference and exhibit, American Institute of Aeronautics and Astronautics, New Orleans, 25-28 June 2012

Zhang YF, Lei J, Zhang YR, Mao ML, Chen JQ (2015) Calibration of transition model for hypersonic numerical simulation platform. Acta Aerodyn Sin 33(1):42–47

Zhang YF, He K, Zhang YR, Mao ML, Chen JQ (2016) Improvement and validation of Menter’s transition model for hypersonic flow simulation. J Astronaut 37(4):397–402

Spalart PR (2000) Strategies for turbulence modelling and simulations. Int J Heat Fluid Flow 21(3):252–263

Spalart PR, Deck S, Shur ML, Squires KD, Strelets MK, Travin A (2006) A new version of detached-eddy simulation, resistant to ambiguous grid densities. Theor Comput Fluid Dyn 20(3):181–195

Deck S (2012) Recent improvements in the Zonal Detached Eddy Simulation (ZDES) formulation. Theor Comput Fluid Dyn 26(6):523–550

Spalart PR (2009) Detached-eddy simulation. Ann Rev Fluid Mech 41:181–202

Shur ML, Spalart PR, Strelets MK, Travin AK (2008) A hybrid RANS-LES approach with delayed-DES and wall-modelled LES capabilities. Int J Heat Fluid Flow 29(6):1638–1649

Chen S, Xia Z, Pei S, Wang J, Yang Y, Xiao Z, Shi Y (2012) Reynolds-stress-constrained large-eddy simulation of wall-bounded turbulent flows. J Fluid Mech 703:1–28

Jiang Z, Xiao Z, Shi Y, Chen S (2013) Constrained large-eddy simulation of wall-bounded compressible turbulent flows. Phys Fluids 25(10):106102

Zhang W, Wan M, Xia Z, Wang J, Lu X, Chen S (2021) Constrained large-eddy simulation of turbulent flow over inhomogeneous rough surfaces. Theor Appl Mech Lett 11(1):100229. https://doi.org/10.1016/j.taml.2021.100229

Zhang W, Wan M, Xia Z, Wang J, Lu X, Chen S (2021) Constrained large-eddy simulation of turbulent flow over rough walls. Phys Rev Fluids 6:044602. https://doi.org/10.1103/PhysRevFluids.6.044602

Zhao Y, Xia Z, Shi Y, Xiao Z, Chen S (2014) Constrained large-eddy simulation of laminar-turbulent transition in channel flow. Phys Fluids 26(9):095103

Wang X, Xiao Z (2022) Transition-based constrained large-eddy simulation method with application to an ultrahigh-lift low-pressure turbine cascade flow. J Fluid Mech 941:A22

Pino Martín M, Piomelli U, Candler GV (2000) Subgrid-scale models for compressible large-eddy simulations. Theor Comput Fluid Dyn 13(5):361–376

Yoshizawa A (1986) Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling. Phys Fluids 29(7):2152–2164

Moin P, Squires K, Cabot W, Lee S (1991) A dynamic subgrid-scale model for compressible turbulence and scalar transport. Phys Fluids A Fluid Dyn 3(11):2746–2757

Wilcox DC (1997) Turbulence modeling for CFD, 2nd edn. DCW Industries, La Canada

Baldwin B, Lomax H (1978) Thin-layer approximation and algebraic model for separated turbulentflows. In: 16th aerospace sciences meeting, American Institute of Aeronautics and Astronautics, Huntsville, 16–18 January 1978

Menter FR, Rumsey CL (1994) Assessment of two-equation turbulence models for transonic flows. In: Fluid dynamics conference, American Institute of Aeronautics and Astronautics, Colorado Springs, 20–23 June 1994

Simon F, Deck S, Guillen P, Sagaut P, Merlen A (2007) Numerical simulation of the compressible mixing layer past an axisymmetric trailing edge. J Fluid Mech 591:215–253

Piomelli U, Zang TA, Speziale CG, Hussaini MY (1990) On the large-eddy simulation of transitional wall-bounded flows. Phys Fluids A Fluid Dyn 2(2):257–265

Kundu PK, Cohen IM, Dowling DR (2015) Fluid mechanics, 6th edn. Academic press, San Diego

Jiang GS, Shu CW (1996) Efficient implementation of weighted ENO schemes. J Comput Phys 126(1):202–228

Shu CW, Osher S (1988) Efficient implementation of essentially non-oscillatory shock-capturing schemes. J Comput Phys 77(2):439–471

Lenormand E, Sagaut P, Ta Phuoc L (2000) Large eddy simulation of subsonic and supersonic channel flow at moderate Reynolds number. Int J Numer Methods Fluids 32(4):369–406

Morinishi Y, Tamano S, Nakabayashi K (2004) Direct numerical simulation of compressible turbulent channel flow between adiabatic and isothermal walls. J Fluid Mech 502:273–308. https://doi.org/10.1017/S0022112003007705

Pope SB (2000) Turbulent Flows. Cambridge University Press, Cambridge. https://doi.org/10.1017/CBO9780511840531