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Flow, Turbulence and Combustion
Erschienen in: Flow, Turbulence and Combustion 1/2019

14.03.2019

Large Eddy Simulation Requirements for the Flow over Periodic Hills

verfasst von: Xavier Gloerfelt, Paola Cinnella

Erschienen in: Flow, Turbulence and Combustion | Ausgabe 1/2019

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Abstract

Large eddy simulations are carried out for flows in a channel with streamwise-periodic constrictions, a well-documented benchmark case to study turbulent flow separation from a curved surface. Resolution criteria such as wall units are restricted to attached flows and enhanced criteria, such as energy spectra or two-point correlations, are used to evaluate the effective scale separation in the present large eddy simulations. A detailed analysis of the separation above the hill crest and of the early shear layer development shows that the delicate flow details in this region may be hardly resolved on coarse grids already at Re = 10595, possibly leading to a non monotonic convergence with mesh refinement. The intricate coupling between numerical and modeling errors is studied by means of various discretization schemes and subgrid models. It is shown that numerical schemes maximizing the resolution capabilities are a key ingredient for obtaining high-quality solutions while using a reduced number of grid points. On this respect, the introduction of a sharp enough filter is an essential condition for separating accurately the resolved scales from the subfilter scales and for removing ill-resolved structures. The high-resolution approach is seen to provide solutions in very good overall agreement with the available experimental data for a range of Reynolds numbers (up to 37000) without need for significant grid refinement.
Vorheriger Artikel Synthetic Freestream Disturbance for the Numerical Reproduction of Experimental Zero-Pressure-Gradient Bypass Transition Test Cases
Nächster Artikel Zonal Eddy Viscosity Models Based on Machine Learning

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Literatur
1.
2.
Vreman, B., Geurts, B., Kuerten, H.: Comparison of numerical schemes in large-eddy simulation of the temporal mixing layer. Int. J. Numer. Meth. Fluids 22, 297–311 (1996)CrossRefMATH
3.
Kravchenko, A., Moin, P.: On the effect of numerical errors in large eddy simulations of turbulent flows. J. Comput. Phys. 131, 310–322 (1997)CrossRefMATH
4.
Meyers, J., Sagaut, P., Geurts, B.: Optimal model parameters for multi-objective large-eddy simulations. Phys. Fluids 18(095), 103 (2006)MathSciNetMATH
5.
Meyers, J., Geurts, B., Sagaut, P.: A computational error-assessment of central finite-volume discretizations in large-eddy simulation using a Smagorinsky model. J. Comput. Phys. 227, 156–173 (2007)MathSciNetCrossRefMATH
6.
Davidson, L.: Large eddy simulations: how to evaluate resolution. Int. J. Heat and Fluid Flow 30, 1016–1025 (2009)CrossRef
7.
Davidson, L.: How to estimate resolution of an LES of recirculating flow. In: Salvetti, M.E.A. (ed.) Quality and Reliability of Large-Eddy Simulations II (2010), pp 269–286 (2011)
8.
9.
Balakumar, P., Rubinstein, R., Rumsey, C.: DNS, enstrophy balance, and the dissipation equation in a separated turbulent channel flow. 43rd AIAA Fluid Dynamics Conference, 24-27 June, San Diego, California. AIAA Paper 2013–2723 (2013)
10.
Breuer, M., Peller, N., Rapp, C., Manhart, M.: Flow over periodic hills - numerical and experimental study in a wide range of Reynolds numbers. Comput. Fluids 38, 433–457 (2009)CrossRefMATH
11.
Davidson, L., Peng, S.: Hybrid LES-RANS modelling: a one-equation SGS model combined with a k-ω model for predicting recirculating flows. Int. J. Numer. Meth. Fluids 43, 1003–1018 (2003)CrossRefMATH
12.
Duprat, C., Balarac, G., Métais, O., Congedo, P., Brugière, O.: A wall-layer model for large-eddy simulations of turbulent flows with/out pressure gradient. Phys. Fluids 23(015), 101 (2011)
13.
Fröhlich, J., Mellen, C., Rodi, W., Temmerman, L., Leschziner, M.: Highly resolved large-eddy simulation of separated flow in a channel with streamwise periodic constrictions. J. Fluid Mech. 526, 19–66 (2005)MathSciNetCrossRefMATH
14.
Fröhlich, J., von Terzi, D.: Hybrid LES-RANS methods for the simulation of turbulent flows. Prog. Aerosp. Sci. 44, 349–377 (2008)CrossRef
15.
Temmerman, L., Hadziabdić, M., Leschziner, M., Hanjalic, K.: A hybrid two-layer URANS-LES approach for large eddy simulation at high Reynolds numbers. Int. J. Heat and Fluid Flow 26, 173–190 (2005)CrossRef
16.
Temmerman, L., Leschziner, M., Mellen, C., Fröhlich, J.: Investigation of wall-function approximations and subgrid-scale models in large-eddy simulation of separated flow in a channel with streamwise periodic constrictions. Int. J. Heat and Fluid Flow 24, 157–180 (2003)CrossRef
17.
Tessicini, F., Temmerman, L., Leschziner, M.: Approximate near-wall treatments based on zonal and hybrid RANS-LES methods for LES at high Reynolds numbers. Int. J. Heat and Fluid Flow 27, 789–799 (2006)CrossRef
18.
Xia, Z., Shi, Y., Hong, R., Xiao, Z., Chen, S.: Constrained large-eddy simulation of separated flow in a channel with streamwise-periodic constrictions. J. Turbulence 14(1), 1–21 (2013)MathSciNetCrossRefMATH
19.
Ziefle, J., Stolz, S., Kleiser, L.: Large-eddy simulation of separated flow in a channel with streamwise-periodic constrictions. AIAA J. 46, 1705–1718 (2008)CrossRef
20.
Aubard, G., Stefanin Volpiani, P., Gloerfelt, X., Robinet, J.C.: Comparison of subgrid-scale viscosity models and selective filtering strategy for large-eddy simulations. Flow Turbul. Combust. 91(3), 497–518 (2013)CrossRef
21.
Chicheportiche, J., Gloerfelt, X.: Study of interpolation methods for high-accuracy computations on overlapping grids. Comput. Fluids 68, 112–133 (2012)MathSciNetCrossRefMATH
22.
Le Garrec, T., Gloerfelt, X., Corre, C.: Multi-size-mesh multi-time-step algorithm for noise computation on curvilinear meshes. Int. J. Numer. Meth. Fluids 74 (1), 1–33 (2014)MathSciNetCrossRef
23.
Kähler, C., Scharnowski, S., Cierpka, C.: Highly resolved experimental results of the separated flow in a channel with streamwise periodic constrictions. J. Fluid Mech. 796, 257–284 (2016)CrossRef
24.
Rapp, C., Manhart, M.: Flow over periodic hills: an experimental study. Exp. Fluids 51, 247–269 (2011)CrossRef
25.
Haase, W., Braza, M., Revell, A.: (Eds.): DESider - A European Effort on Hybrid RANS-LES Modelling; Results of the european-Union Funded Project, 2004-2007, Notes on Numerical Fluid Mechanics and Multidisciplinary design, vol. 103 Springer (2009)
26.
Schwamborn, D.: Results and lessons learned from the eu-project Ataac. In: Braza, M., Bottaro, A., Thompson, M. (eds.) Advances in Fluid-Structure Interaction: Updated contributions reflecting new findings presented at the ERCOFTAC Symposium on Unsteady Separation in Fluid-Structure Interaction, 17-21 June 2013, St John Resort, Mykonos, Greece, pp. 221–233. Springer (2016)
27.
Kroll, N., Hirsch, C., Bassi, F., Johnston, C., Hillewaert, K.: IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach; Results of a Collaborative Research Project Funded by the European Union, 2010-2014, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 128 Springer (2015)
28.
29.
30.
3rd International Workshop on High-Order CFD Methods, sponsored by NASA, AIAA, DLR and Army Research Office (ARO), January 3-4 2015 at the 53rd AIAA Aerospace Sciences Meeting, Orlando, Florida. https://​www.​grc.​nasa.​gov/​hiocfd
31.
Mellen, C., Fröhlich, J., Rodi, W.: Large eddy simulation of the flow over periodic hills. In: M.D..R., Owens (ed.) Proc. IMACS World Congress. Lausanne (2000)
32.
Benocci, C., Pinelli, A.: The role of the forcing-term in large-eddy simulation of equilibrium channel flow. In: Ganíc, W.R.E. (ed.) Engineering Turbulence Modeling and Experiments, pp 287–296 (1990)
33.
Lenormand, E., Sagaut, P., Ta Phuoc, L.: Large eddy simulation of subsonic and supersonic channel flow at moderate Reynolds number. Int. J. Numer. Meth. Fluids 32, 369–406 (2000)CrossRefMATH
34.
Bogey, C., Bailly, C.: A family of low dispersive and low dissipative explicit schemes for noise computation. J. Comput. Phys. 194, 194–214 (2004)CrossRefMATH
35.
Berland, J., Bogey, C., Bailly, C.: A study of differentiation errors in large-eddy simulations based on the EDQNM theory. J. Comput. Phys. 227(18), 8314–8340 (2008)MathSciNetCrossRefMATH
36.
Gloerfelt, X., Cinnella, P.: Investigation of high-order methods in large-eddy simulation of separated flow in a channel with periodic constrictions. In: Grigoriadis, D., Geurts, B., Kuerten, H., Fröhlich, J., Armenio, V. (eds.) Direct and Large-Eddy Simulation X, ERCOFTAC Series, pp 441–447. Springer, Switzerland (2018)
37.
Berland, J., Bogey, C., Marsden, O., Bailly, C.: High-order, low dispersive and low dissipative explicit schemes for multiple-scale and boundary problems. J. Comput. Phys. 224(2), 637–662 (2007)MathSciNetCrossRefMATH
38.
Yoshizawa, A.: Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling. Phys. Fluids 29, 2152–2164 (1986)CrossRefMATH
39.
Erlebacher, G., Hussaini, M., Speziale, C., Zang, T.: Toward the large-eddy simulation of compressible turbulent flows. J. Fluid Mech. 238, 155–185 (1992)CrossRefMATH
40.
Moin, P., Kim, J.: Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341–377 (1982)CrossRefMATH
41.
Piomelli, U., Moin, P., Ferziger, J.: Model consistency in large eddy simulation of turbulent channel flows. Phys. Fluids 31(7), 1884–1891 (1988)CrossRef
42.
Germano, M., Piomelli, U., Moin, P., Cabot, W.: A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3(7), 1760–1765 (1991)CrossRefMATH
43.
Lilly, D.K.: A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids 4, 633–635 (1992)CrossRef
44.
Hughes, T., Mazzei, L., Oberai, A.: The multiscale formulation of large eddy simulation : decay of homogeneous isotropic turbulence. Phys. Fluids 13(2), 505–512 (2001)CrossRefMATH
45.
Borue, V., Orszag, S.: Self-similar decay of three-dimensional homogeneous turbulence with hyperviscosity. Phys. Rev. E 51(2), R856–R859 (1995)CrossRef
46.
Cook, A., Cabot, W.: A high-wavenumber viscosity for high-resolution numerical methods. J. Comput. Phys. 195(2), 594–601 (2004)CrossRefMATH
47.
Karamanos, G.S., Karniadakis, G.: A spectral-vanishing viscosity method for large-eddy simulations. J. Comput. Phys. 163, 22–50 (2000)MathSciNetCrossRefMATH
48.
Boris, J., Grinstein, F., Oran, E., Kolbe, R.: New insights into large eddy simulation. Fluid Dyn. Res. 10, 199–228 (1992)CrossRef
49.
Fureby, C., Grinstein, F.: Large eddy simulation of high-Reynolds number free and wall-bounded flows. J. Comput. Phys. 181, 68–97 (2002)MathSciNetCrossRefMATH
50.
Stolz, S., Adams, N.: Large-eddy simulation of high-Reynolds-number supersonic boundary layers using the approximate deconvolution model and rescaling and recycling technique. Phys. Fluids 15(8), 2398–2412 (2003)CrossRefMATH
51.
Rizzetta, D., Visbal, M., Blaisdell, G.: A time-implicit high-order compact differencing and filtering scheme for large-eddy simulation. Int. J. Numer. Meth. Fluids 42, 665–693 (2003)CrossRefMATH
52.
Bogey, C., Bailly, C.: Large eddy simulations of round jets using explicit filtering with/without dynamic Smagorinsky model. Int. J. Heat and Fluid Flow 27, 603–610 (2006)CrossRef
53.
Mathew, J., Lechner, R., Foysi, H., Sesterhenn, J., Friedrich, R.: An explicit filtering method for large eddy simulation of compressible flows. Phys. Fluids 15(8), 2279–2289 (2003)CrossRefMATH
54.
Piomelli, U., Chasnov, J.: Large-eddy simulations: theory and applications. In: Hallbäck, M., Henningson, D., Johansson, A., Alfredsson, P. (eds.) Turbulence and Transition Modelling, Lecture Notes from the ERCOFTAC/IUTAM Summerschool Held in Stockholm, 12-20 June, 1995, ERCOFTAC Series, vol. 2, pp 269–336. Kluwer Academic Publishers, Dordrecht (1996)
55.
56.
Carati, D., Winckelmans, G., Jeanmart, H.: On the modelling of the subgrid-scale and filtered-scale stress tensors in large-eddy simulations. J. Fluid Mech. 441, 119–138 (2001)CrossRefMATH
57.
Domaradzki, J., Saiki, E.: A subgrid-scale model based on the estimation of unresolved scales of turbulence. Phys. Fluids 9(7), 2148–2164 (1997)CrossRef
58.
Gullbrand, J., Chow, F.: The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering. J. Fluid Mech. 495, 323–341 (2003)CrossRefMATH
59.
Lund, T., Kaltenbach, H.J.: Experiments with explicit filtering for LES using a finite-difference method. In: Annual Research Briefs, pp 91–105. Center for Turbulence Research, NASA Ames/Stanford Univ., CA (1995)
60.
Mokhtarpoor, R., Heinz, S., Stoellinger, M.: Dynamic unified RANS-LES simulations of high Reynolds number separated flows. Phys. Fluids 28, 0951,101–1–0951, 101–36 (2016)CrossRef
61.
Diosady, L., Murman, S.: DNS Of flows over periodic hills using a discontinuous-Galerkin spectral-element method. 44th AIAA Fluid Dynamics Conference, 16-20 June, Atlanta, GA AIAA Paper 2014–2784 (2014)
62.
Howarth, L.: Concerning the effect of compressibility on laminar boundary layers and their separation. Proc. of the Royal Society of London A 194(1036), 16–42 (1948)MathSciNetCrossRefMATH
63.
Ho, C.M., Huang, L.S.: Subharmonics and vortex merging in mixing layers. J. Fluid Mech. 119, 443–473 (1982)CrossRef
64.
Ho, C.M., Nosseir, N.: Dynamics of an impinging jet. Part 1. The feedback phenomenon. J. Fluid Mech. 105, 119–142 (1981)CrossRef
65.
Gloerfelt, X.: Large eddy simulations of high Reynolds number cavity flows. Workshop direct and large-eddy simulation 8 July, vol. 7-9. Eindhoven, The Netherlands (2010)
66.
Oster, D., Wygnanski, I.: The forced mixing layer between parallel streams. J. Fluid Mech. 123, 91–130 (1982)CrossRef
67.
Gloerfelt, X., Bogey, C., Bailly, C.: Numerical evidence of mode switching in the flow-induced oscillations by a cavity. Int. J. of Aeroacoustics 2(2), 99–124 (2003)CrossRef
68.
69.
Gloerfelt, X.: Cavity Noise. In: Aerodynamic noise from wall-bounded flows, VKI lectures (2009)
70.
Jameson, A., Schmidt, W., Turkel, E.: Numerical solutions of the Euler equations by finite volume methods using runge-Kutta time-stepping schemes. AIAA Paper 81–1259 (1981)
71.
Kim, J., Lee, D.: Optimized compact finite difference schemes with maximum resolution. AIAA J. 34(5), 887–893 (1996)CrossRefMATH
72.
Tam, C., Webb, J.: Dispersion-relation-preserving finite difference schemes for computational acoustics. J. Comput. Phys. 107, 262–281 (1993)MathSciNetCrossRefMATH
73.
Berland, J., Lafon, P., Daude, F., Crouzet, F., Bogey, C., Bailly, C.: Filter shape dependence and effective scale separation in large-eddy simulations based on relaxation filtering. Comput. Fluids 47, 65–74 (2011)MathSciNetCrossRefMATH
74.
Fauconnier, D., Bogey, C., Dick, E.: On the performance of relaxation filtering for large-eddy simulation. J. Turbulence 14(1), 22–49 (2013)MathSciNetCrossRefMATH
75.
de la Llave Plata, M., Couaillier, V., le Pape, M.C.: On the use of a high-order discontinuous Galerkin method for DNS and LES of wall-bounded turbulence. Comput. Fluids 000, 1–18 (2017). Article in PressMATH
76.
Manhart, M., Rapp, C., Peller, N., Breuer, M., Aybay, O., Denev, J., Falconi, C.: Assessment of eddy resolving techniques for the flow over periodically arranged hills up to Re= 37,000. In: M.E.A., Salvetti (ed.) Quality and Reliability of Large-Eddy Simulations II (2010), pp 361–370 (2011)
Metadaten
Titel
Large Eddy Simulation Requirements for the Flow over Periodic Hills
verfasst von
Xavier Gloerfelt
Paola Cinnella
Publikationsdatum
14.03.2019
Verlag
Springer Netherlands
Erschienen in
Flow, Turbulence and Combustion / Ausgabe 1/2019
Print ISSN: 1386-6184
Elektronische ISSN: 1573-1987
DOI
https://doi.org/10.1007/s10494-018-0005-5

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