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Validation of a large eddy simulation methodology for accelerated nozzle flows

Published online by Cambridge University Press:  18 February 2020

P.C. Wang  and
J.J. McGuirk Open the ORCID record for J.J. McGuirk [Opens in a new window]
P.C. Wang
Affiliation:
Department of Aeronautical and Automotive Engineering, Loughborough University, LoughboroughLE11 3TU, UK
J.J. McGuirk*
Affiliation:
Department of Aeronautical and Automotive Engineering, Loughborough University, LoughboroughLE11 3TU, UK
*
j.j.mcguirk@lboro.ac.uk
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Abstract

Prediction of aeroengine exhaust plume near-field development requires knowledge of velocity and turbulence distributions at nozzle exit. The high Reynolds number nozzle inlet boundary layers of engineering practice are fully turbulent, but acceleration can induce re-laminarisation. Thus, to reproduce nozzle exit conditions accurately, large eddy simulation (LES) for plume prediction must be capable of capturing re-laminarisation and any subsequent boundary layer recovery. Validation is essential to establish a credible LES methodology, but previous studies have suffered from lack of nozzle inlet/exit measurements in the test cases selected. Validation data were here taken from an experiment on a convergent round nozzle with a parallel exit extension to allow boundary layer recovery. LES inlet condition generation applied a rescaling/recycling method (R2M), whose performance was validated against measurements of first and second moment statistics as well as the turbulence integral length scale. Simulations employed two sub-grid-scale (SGS) models; these produced similar predictions up to the end of the nozzle convergent section, but marked differences appeared for the nozzle exit turbulence field. The Smagorinsky model predicted much lower turbulence levels than measured, whereas the Piomelli and Geurts model revealed the presence of a small separation region at the convergence/parallel section corner, which led to higher exit turbulence and much better agreement with measured data.

Keywords

large eddy simulationnozzle flowsvalidation
Type
Research Article
Information
The Aeronautical Journal , Volume 124 , Issue 1277 , July 2020 , pp. 1070 - 1098
Copyright
© The Author(s) 2020. Published by Cambridge University Press on behalf of Royal Aeronautical Society

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Footnotes

*

Current address: Assistant Professor, Singapore Institute of Technology, Singapore 138683.

References

REFERENCES

Kenzakowski, D., Papp, J. and Dash, S. Modelling turbulence anisotropy for jet noise prediction, AIAA 2002-0076, 40th Aerospace Sciences Meeting, January 2002, Reno, Nevada, USA.Google Scholar
Georgiadis, N.J. and DeBonis, J.R.Navier-Stokes analysis methods for turbulent jet flows with application to aircraft exhaust nozzles, Progress in Aerospace Sciences, 2006, 42, (5–6), pp 377–418.CrossRefGoogle Scholar
DeBonis, J.R.Progress toward Large Eddy Simulations for prediction of realistic nozzle systems, AIAA Journal of Propulsion and Power, 2007, 25, (5), pp 971–980.CrossRefGoogle Scholar
Karabasov, S.A., Afsar, M.Z., Hynes, T.P., Dowling, A.P., McMullan, W.A., Pokora, C.D., Page, G.J. and McGuirk, J.J.Jet noise: acoustic analogy informed by Large Eddy Simulation, AIAA Journal, 2010, 48, (7), pp 1312–1325.CrossRefGoogle Scholar
Wang, P.C. and McGuirk, J.J.Large Eddy Simulation of supersonic jet plumes from rectangular con-di nozzles, International Journal of Heat and Fluid Flow, 2013, 43, pp 62–73.CrossRefGoogle Scholar
Bres, G.A., Jaunet, V., Le Rallic, M., Jordan, P., Colonius, T. and Lele, S.K. Large Eddy simulation for jet noise: the importance of getting the boundary layer right, AIAA-2015-2535, 21st AIAA/CEAS Aeroacoustics Conference, June 2015.CrossRefGoogle Scholar
Chung, Y.M. and Sung, H.J.Comparative study of inflow conditions for spatially evolving simulation, AIAA Journal, 1997, 35, (2), pp 269–274.CrossRefGoogle Scholar
Tabor, G.R. and Baba-Ahmadi, M.H.Inlet conditions for Large Eddy Simulation: a review, Computers and Fluids, 2010, 39, (4), pp 553–567.CrossRefGoogle Scholar
Wu, X.Inflow turbulence generation methods, Annual Review of Fluid Mechanics, 2017, 49, pp 23–49.CrossRefGoogle Scholar
Morgan, B., Larsson, J., Kawai, S. and Lele, S.K.Improving low frequency characteristics of recycling/rescaling inflow turbulence generation, AIAA Journal, 2011, 49, (3), pp 582–597.CrossRefGoogle Scholar
Lund, T.S., Wu, X. and Squires, K.D.Generation of turbulent inflow data for spatially developing boundary layer simulations, Journal of Computational Physics, 1998, 140, (2), pp 233–258.CrossRefGoogle Scholar
Liu, K. and Pletcher, R.H.Inflow conditions for LES of turbulent boundary layers: a dynamic recycling procedure, Journal of Computational Physics, 2006, 219, (1), pp 1–6.CrossRefGoogle Scholar
Araya, G., Castillo, L., Meneveau, C. and Jansen, K.A dynamic multi-scale approach for turbulent inflow boundary conditions in spatially developing flows, Journal of Fluid Mechanics, 2011, 670, pp 581–605.CrossRefGoogle Scholar
Nikitin, N.Spatial periodicity of spatially evolving turbulent flow caused by inflow boundary conditions, Physics of Fluids, 2007, 19, (9), p 091703.CrossRefGoogle Scholar
Piomelli, U. and Yuan, J.Numerical simulations of spatially developing, accelerating boundary layers, Physics of Fluids, 2013, 25, (10), 10.1063.CrossRefGoogle Scholar
Narasimha, R. and Sreenivasan, K.R.Re-laminarisation in highly accelerated turbulent boundary layers, Journal of Fluid Mechanics, 1973, 61, (3), pp 417–447.CrossRefGoogle Scholar
Jones, W.P. and Launder, B.E.The prediction of laminarisation with a two equation model of turbulence, International Journal of Heat and Mass Transfer, 1972, 15, (2), pp 301–314.CrossRefGoogle Scholar
Yang, X. and Tucker, P.G.Assessment of turbulence model performance: severe acceleration with large integral scales, Computers and Fluids, 2016, 126, pp 81–191.Google Scholar
Warnack, D. and Fernholz, H.H.The effects of a favourable pressure gradient and of the Reynolds number on an incompressible axisymmetric turbulent boundary layer – Part 1: the turbulent boundary layer, Journal of Fluid Mechanics, 1998, 359, pp 329–356.CrossRefGoogle Scholar
Warnack, D. and Fernholz, H.H.The effects of a favourable pressure gradient and of the Reynolds number on an incompressible axisymmetric turbulent boundary layer – Part 2: the boundary layer with re-laminarisation, Journal of Fluid Mechanics, 1998, 359, 1998b, pp 357–381.CrossRefGoogle Scholar
Pierce, C.D. and Moin, P.Method for generating equilibrium swirling inflow conditions, AIAA Journal, 1998, 36, (7), pp 1325–1327.CrossRefGoogle Scholar
Xiao, F., Dianat, M. and McGuirk, J.J.An LES turbulent inflow generator using a recycling and rescaling method, Flow, Turbulence and Combustion, 2017, 98, (3), pp 663–695.CrossRefGoogle ScholarPubMed
Li, J., Page, G.J. and McGuirk, J.J.RANS/LES modelling for aerodynamic coupling of outlet guide vane and pre-diffuser flows, AIAA Journal, 2015, 53, (1), pp 678–691.CrossRefGoogle Scholar
Bogey, C. and Marsden, O.Identification of the effects of the nozzle exit boundary layer thickness and its corresponding Reynolds number in initially highly disturbed subsonic jets, Physics of Fluids, 2013, 25, (5), 055106.CrossRefGoogle Scholar
Pokora, C.D., McMullan, W.A., Page, G.J. and McGuirk, J.J. Influence of a numerical boundary layer trip on spatio-temporal correlations within LES of a subsonic jet, AIAA-2011-2920, 17th AIAA/CEAS Aeroacoustics Conference, June 2011, Portland, Oregon, USA.CrossRefGoogle Scholar
Uzun, A., Jonghoon, B. and Hussaini, M.Y.High-fidelity numerical simulation of a chevron nozzle jet flow, International Journal of Aeroacoustics, 2011, 10, pp 531–564.CrossRefGoogle Scholar
Fosso-Pouangue, A., Sanjose, M., Moreau, S, Daviller, G. and Deniau, H.Subsonic jet noise simulations with using both structured and unstructured grids, AIAA Journal, 2015, 53, (1), pp 55–69.CrossRefGoogle Scholar
Bres, G.A., Jordan, P., Jaunet, V., Le Rallic, M., Cavalier, A.V.G., Towne, A., Lele, S.K., Colonius, T. and Schmidt, O.T.Importance of the nozzle exit boundary layer state in subsonic turbulent jets, Journal of Fluid Mechanics, 2018, 851, pp 83–124.CrossRefGoogle Scholar
Trumper, M.T., Behrouzi, P. and McGuirk, J.J.Influence of nozzle exit conditions on the near-field development of high subsonic and underexpanded axisymmetric jets, Aerospace, 2018, 5, pp 35–60.CrossRefGoogle Scholar
Fernholz, H.H. and Finley, P.J.The incompressible zero-pressure gradient turbulent boundary layer: an assessment of the data, Progress in Aerospace Sciences, 1996, 32, (4), pp 245–311.CrossRefGoogle Scholar
Young, A.D.Boundary Layers, BSP Professional Books, AIAA, 1989, Reston, VA, USA.Google Scholar
Smagorinsky, J.General circulation experiments with the primitive equations, I: the basic experiment, Monthly Weather Review, 1963, 91, pp 99–164.2.3.CO;2>CrossRefGoogle Scholar
Van Driest, E.R.On turbulent flow near a wall, International Journal of Aeronautical Science, 1956, 23, (11), pp 1007–1011.CrossRefGoogle Scholar
Piomelli, U. and Geurts, B.J. A grid independent length scale for Large Eddy Simulations of wall bounded flows. In Proc. Of 8th Int. Symp. on Eng. Turbulence Modelling & Measurements (Eds. Leschziner, M.A., Bontoux, P., Geurts, B.J., Launder, B.E. and Tropea, C.), 2010, pp 226–231.Google Scholar
Piomelli, U., Rouhi, A. and Geurts, B.J.A grid-independent length scale for large eddy simulations, Journal of Fluid Mechanics, 2015, 766, pp 499–527.CrossRefGoogle Scholar
Page, G.J., Li, Q. and McGuirk, J.J. LES of impinging jet flows relevant to vertical landing aircraft. AIAA-2005-5226, 23rd AIAA Applied Aerodynamics Conference, 2005, Toronto, Canada.CrossRefGoogle Scholar
Spalart, P.Direct simulation of a turbulent boundary layer up to Reθ=1410, Journal of Fluid Mechanics, 1988, 187, pp 61–98.CrossRefGoogle Scholar
Gant, S.E.Reliability issues of LES-related approaches in an industrial context, Flow, Turbulence and Combustion, 2010, 84, pp 325–335.CrossRefGoogle Scholar
Dianat, M., McGuirk, J.J., Fokeer, S. and Spencer, A. LES of unsteady vortex aerodynamics in complex geometry gas-turbine fuel injectors. Proc. of 10th ETMM Conference, 2014 Marbella, Spain.Google Scholar
Pope, S.B.Turbulent Flows, Cambridge University Press, 2010, Cambridge, UK.Google Scholar
Celik, I.B., Cehreli, Z.N. and Yavuz, I.Index of resolution quality for Large Eddy Simulations, ASME Journal of Fluids Engineering, 2005, 127, (5), pp 949–958.CrossRefGoogle Scholar
Choi, H. and Moin, P.Grid point requirements for Large Eddy Simulation: Chapman estimates revisited, Physics of Fluids, 2012, 24, (1), p 011702.CrossRefGoogle Scholar
Antonia, R.A. and Luxton, R.E.The response of a turbulent boundary layer to a step change in surface roughness, Part 1: smooth to rough, Journal of Fluid Mechanics, 1971, 48, (4), pp 721–761.CrossRefGoogle Scholar
Carlier, J. and Stanislas, M.Experimental study of eddy structures in a turbulent boundary layer using particle image velocimetry, Journal of Fluid Mechanics, 2005, 535, pp 143–188.CrossRefGoogle Scholar
Bourassa, C. and Thomas, F.O.An experimental investigation of a highly accelerated turbulent boundary layer, Journal of Fluid Mechanics, 2009, 634, pp 359–404.CrossRefGoogle Scholar