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Subfilter-scale enrichment of planetary boundary layer large eddy simulation using discrete Fourier–Gabor modes

  • Aditya S. Ghate (a1) and Sanjiva K. Lele (a2)
Abstract

A new multiscale simulation methodology is introduced to facilitate computationally efficient simulations of high Reynolds number turbulence seen in wall-bounded flows. The scale splitting methodology uses traditional large eddy simulation (LES) with a wall model to simulate the larger scales which are subsequently enriched using a space–time compatible kinematic simulation. Computational feasibility and robustness of the methodology are investigated using two idealized problems that emulate turbulence within the planetary boundary layer (PBL), and a finite Reynolds number channel flow problem which serves to validate the methodology against direct numerical simulation. The space–time correlations and spectra generated using enriched LES show excellent agreement with LES conducted at high resolution for all three problems; thereby demonstrating the potential of this approach for high resolution PBL simulations with a drastic reduction in the computational costs when compared to the conventional approach.

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Email address for correspondence: aditya90@stanford.edu
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M. Abkar , H. J. Bae  & P. Moin 2016 Minimum-dissipation scalar transport model for large-eddy simulation of turbulent flows. Phys. Rev. Fluids 1 (4), 041701.

S. Basu  & F. Porté-Agel 2005 Large-eddy simulation of stably stratified atmospheric boundary layer turbulence: a scale-dependent dynamic modeling approach. J. Atmos. Sci. 63, 20742091.

R. J. Beare , M. K. Macvean , A. Holtslag , J. Cuxart , I. Esau , J.-C. Golaz , M. A. Jimenez , M. Khairoutdinov , B. Kosovic , D. Lewellen 2006 An intercomparison of large-eddy simulations of the stable boundary layer. Boundary-Layer Meteorol. 118 (2), 247272.

J. Berg , A. Natarajan , J. Mann  & E. G. Patton 2016 Gaussian versus non-gaussian turbulence: impact on wind turbine loads. Wind Energy 19 (11), 19751989.

E. Bou-Zeid , C. Meneveau  & M. Parlange 2005 A scale-dependent lagrangian dynamic model for large eddy simulation of complex turbulent flows. Phys. Fluids 17 (2), 025105.

V. M. Canuto  & M. S. Dubovikov 1996 A dynamical model for turbulence. I. General formalism. Phys. Fluids 8 (2), 571586.

G. Comte-Bellot  & S. Corrsin 1971 Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, isotropic turbulence. J. Fluid Mech. 48 (02), 273337.

J. A. Domaradzki  & K.-C. Loh 1999 The subgrid-scale estimation model in the physical space representation. Phys. Fluids 11 (8), 23302342.

B. Dubrulle , J.-P. Laval , S. Nazarenko  & N. K.-R. Kevlahan 2001 A dynamic subfilter-scale model for plane parallel flows. Phys. Fluids 13 (7), 20452064.

B. Dubrulle , J.-P. Laval , P. Sullivan  & J. Werne 2002 A new dynamical subgrid model for the planetary surface layer. Part I: the model and a priori tests. J. Atmos. Sci. 59 (4), 861876.

A. Dutt  & V. Rokhlin 1993 Fast fourier transforms for nonequispaced data. SIAM J. Sci. Comput. 14 (6), 13681393.

P. Flohr  & J. C. Vassilicos 2000 A scalar subgrid model with flow structure for large-eddy simulations of scalar variances. J. Fluid Mech. 407, 315349.

J. C. H. Fung , J. C. R. Hunt , N. A. Malik  & R. J. Perkins 1992 Kinematic simulation of homogeneous turbulence by unsteady random Fourier modes. J. Fluid Mech. 236, 281318.

S. Gottlieb  & C.-W. Shu 1998 Total variation diminishing Runge–Kutta schemes. Maths Comput. 67 (221), 7385.

J. Graham , K. Kanov , X. Yang , M. Lee , N. Malaya , C. Lalescu , R. Burns , G. Eyink , A. Szalay , R. D. Moser  & C. Meneveau 2016 A web services accessible database of turbulent channel flow and its use for testing a new integral wall model for LES. J. Turbul. 17 (2), 181215.

L. Greengard  & J.-Y. Lee 2004 Accelerating the non-uniform fast Fourier transform. SIAM Rev. 46 (3), 443454.

G. He , G. Jin  & Y. Yang 2017 Space–time correlations and dynamic coupling in turbulent flows. Annu. Rev. Fluid Mech. 49 (1), 5170.

T. Hughes , G. Feijóo , L. Mazzei  & J.-B. Quincy 1998 The variational multiscale method – a paradigm for computational mechanics. Comput. Meth. Appl. Mech. Engng 166 (1), 324.

J. Jiménez 2011 Cascades in wall-bounded turbulence. Annu. Rev. Fluid Mech. 44 (1), 2745.

J. C. Kaimal 1973 Turbulence spectra, length scales and structure parameters in the stable surface layer. Boundary-Layer Meteorol. 4 (1–4), 289309.

S. Khanna  & J. Brasseur 1997 Analysis of Monin–Obukhov similarity from large-eddy simulation. J. Fluid Mech. 345, 251286.

R. H Kraichnan 1964 Decay of isotropic turbulence in the direct-interaction approximation. Phys. Fluids 7 (7), 10301048.

J.-P. Laval , B. Dubrulle  & S. Nazarenko 2001 Nonlocality and intermittency in three-dimensional turbulence. Phys. Fluids 13 (7), 19952012.

J.-P. Laval , B. Dubrulle  & S. Nazarenko 2004 Fast numerical simulations of 2d turbulence using a dynamic model for subfilter motions. J. Comput. Phys. 196 (1), 184207.

S. K. Lele 1992 Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103 (1), 1642.

Y. Li , E. Perlman , M. Wan , Y. Yang , C. Meneveau , R. Burns , S. Chen , A. Szalay  & G. Eyink 2008 A public turbulence database cluster and applications to study lagrangian evolution of velocity increments in turbulence. J. Turbul. 9 (32), 129.

M. Manhart  & R. Friedrich 1999 Towards DNS of separated turbulent boundary layers. In Direct and Large-Eddy Simulation III, pp. 429440. Springer.

J. Mann 1994 The spatial structure of neutral atmospheric surface-layer turbulence. J. Fluid Mech. 273, 141168.

S. Mukerji , J. M. Mcdonougha , M. P. Mengüç , S. Manickavasagam  & S. Chung 1998 Chaotic map models of soot fluctuations in turbulent diffusion flames. Intl J. Heat Mass Transfer 41 (24), 40954112.

S. Nagarajan , S. K. Lele  & J. H. Ferziger 2003 A robust high-order compact method for large eddy simulation. J. Comput. Phys. 191 (2), 392419.

S. Nazarenko , N. K.-R. Kevlahan  & B. Dubrulle 1999 WKB theory for rapid distortion of inhomogeneous turbulence. J. Fluid Mech. 390, 325348.

F. Nicoud , H. B. Toda , O. Cabrit , S. Bose  & J. Lee 2011 Using singular values to build a subgrid-scale model for large eddy simulations. Phys. Fluids 23 (8), 085106.

M. Oberlack 2001 A unified approach for symmetries in plane parallel turbulent shear flows. J. Fluid Mech. 427, 299328.

H. A. Panofsky , D. Larko , R. Lipschutz , G. Stone , E. F. Bradley , A. J. Bowen  & J. Højstrup 1982 Spectra of velocity components over complex terrain. Q. J. R. Meteorol. Soc. 108 (455), 215230.

S. B. Pope 2000 Turbulent Flows. Cambridge University Press.

F. Porté-Agel , C. Meneveau  & M. B. Parlange 2000 A scale-dependent dynamic model for large-eddy simulation: application to a neutral atmospheric boundary layer. J. Fluid Mech. 415, 261284.

P. Sagaut , S. Deck  & M. Terracol 2013 Multiscale and Multiresolution Approaches in Turbulence: LES, DES and Hybrid RANS/LES Methods: Applications and Guidelines. World Scientific.

E. T. Spyropoulos  & G. A. Blaisdell 1996 Evaluation of the dynamic model for simulations of compressible decaying isotropic turbulence. AIAA J. 34 (5), 990998.

G. Stefano  & O. Vasilyev 2013 Wavelet-based adaptive large-eddy simulation with explicit filtering. J. Comput. Phys. 238, 240254.

R. J. A. M. Stevens , M. Wilczek  & C. Meneveau 2014 Large-eddy simulation study of the logarithmic law for second- and higher-order moments in turbulent wall-bounded flow. J. Fluid Mech. 757, 888907.

S. Stolz  & N. A. Adams 1999 An approximate deconvolution procedure for large-eddy simulation. Phys. Fluids 11 (7), 16991701.

P. Sullivan , J. C. McWilliams  & C.-H. Moeng 1996 A grid nesting method for large-eddy simulation of planetary boundary-layer flows. Boundary-Layer Meteorol. 80 (1–2), 167202.

P. Sullivan , J. C. Weil , E. G. Patton , H. Jonker  & D. Mironov 2016 Turbulent winds and temperature fronts in large-eddy simulations of the stable atmospheric boundary layer. J. Atmos. Sci. 73 (4), 18151840.

M. Terracol , P. Sagaut  & C. Basdevant 2003 A time self-adaptive multilevel algorithm for large-eddy simulation. J. Comput. Phys. 184 (2), 339365.

F. Waleffe 1992 The nature of triad interactions in homogeneous turbulence. Phys. Fluids A 4 (2), 350363.

M. Wilczek , R. J. A. M. Stevens  & C. Meneveau 2015 Spatio-temporal spectra in the logarithmic layer of wall turbulence: large-eddy simulations and simple models. J. Fluid Mech. 769, R1.

Z. Xiong , S. Nagarajan  & S. K. Lele 2004 Simple method for generating inflow turbulence. AIAA J. 42 (10), 21642166.

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