A subgrid model for clustering of high-inertia particles in large-eddy simulations of turbulence

References

• M.R. Maxey, The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields, J. Fluid Mech. 174 (1987), pp. 441–465.
   Web of Science ®Google Scholar
• K.D. Squires and J.K. Eaton, Preferential concentration of particles by turbulence, Phys. Fluids A 3 (1991), pp. 1169–1178.
   Web of Science ®Google Scholar
• L.P. Wang and M.R. Maxey, Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence, J. Fluid Mech. 256 (1993), pp. 27–68.
   Web of Science ®Google Scholar
• J.K. Eaton and J.R. Fessler, Preferential concentration of particles by turbulence, Int. J. Multiphase Flow 20 (1994), pp. 169–209.
   Web of Science ®Google Scholar
• S. Sundaram and L.R. Collins, Collision statistics in an isotropic, particle-laden turbulent suspension. Part I. Direct numerical simulations, J. Fluid Mech. 335 (1997), pp. 75–109.
   Web of Science ®Google Scholar
• J.R. Fessler, J.D. Kulick, and J.K. Eaton, Preferential concentration of heavy particles in a turbulent channel flow, Phys. Fluids 6 (1994), pp. 3742–3749.
   Web of Science ®Google Scholar
• J.P.L.C. Salazar, J. de Jong, L. Cao, S. Woodward, H. Meng, and L.R. Collins, Experimental and numerical investigation of inertial particle clustering in isotropic turbulence, J. Fluid Mech. 600 (2008), pp. 245–256.
   Web of Science ®Google Scholar
• E.W. Saw, R.A. Shaw, S. Ayyalasomayajula, P.Y. Chuang, and A. Gylfason, Inertial clustering of particles in high-Reynolds-number turbulence, Phys. Rev. Lett. 100 (2008), p. 214501.
   PubMed Web of Science ®Google Scholar
• M. Gibert, H. Xu, and E. Bodenschatz, Where do small, weakly inertial particles go in a turbulent flow? J. Fluid Mech. 698 (2012), pp. 160–167.
   Web of Science ®Google Scholar
• C.P. Bateson and A. Aliseda, Wind tunnel measurements of the preferential concentration of inertial droplets in homogeneous isotropic turbulence, Exp. Fluids 52 (2012), pp. 1373–1387.
   Web of Science ®Google Scholar
• E.W. Saw, R.A. Shaw, J.P.L.C. Salazar, and L.R. Collins, Spatial clustering of polydisperse inertial particles in turbulence: II. Comparing simulation with experiment, New J. Phys. 14 (2012), p. 105031.
   Web of Science ®Google Scholar
• R.A. Shaw, W.C. Reade, L.R. Collins, and J. Verlinde, Preferential concentration of cloud droplets by turbulence: Effects on the early evolution of cumulus cloud droplet spectra, J. Atmos. Sci. 55 (1998), pp. 1965–1976.
   Web of Science ®Google Scholar
• W.C. Reade and L.R. Collins, A numerical study of the particle size distribution of an aerosol undergoing turbulent coagulation, J. Fluid Mech. 415 (2000), pp. 45–64.
   Web of Science ®Google Scholar
• G. Falkovich, A. Fouxon, and M.G. Stepanov, Acceleration of rain initiation by cloud turbulence, Nature 419 (2002), pp. 151–154.
   PubMed Web of Science ®Google Scholar
• R.A. Shaw, Particle-turbulence interactions in atmospheric clouds, Annu. Rev. Fluid Mech. 35 (2003), pp. 183–227.
   Web of Science ®Google Scholar
• B.J. Devenish, P. Bartello, J.L. Brenguier, L.R. Collins, W.W. Grabowski, R.H.A. IJzermans, S.P. Malinowski, M.W. Reeks, J.C. Vassilicos, L.P. Wang, and Z. Warhaft, Droplet growth in warm turbulent clouds, Quart. J. Royal Meteor. Soc. 138 (2012), pp. 1401–1429.
   Web of Science ®Google Scholar
• W.W. Grabowski and L.P. Wang, Growth of cloud droplets in a turbulent environment, Ann. Rev. Fluid Mech. 45 (2013), pp. 293–324.
   Web of Science ®Google Scholar
• O. Ayala, B. Rosa, L.P. Wang, and W.W. Grabowski, Effects of turbulence on the geometric collision rate of sedimenting droplets. Part 1. Results from direct numerical simulation, New J. Phys. 10 (2008), p. 075015.
   Web of Science ®Google Scholar
• L. Pan and P. Padoan, Relative velocity of inertial particles in turbulent flows, J. Fluid Mech. 661 (2010), pp. 73–107.
   Web of Science ®Google Scholar
• L. Pan, P. Padoan, J. Scalo, A.G. Kritsuk, and M.L. Norman, Turbulent clustering of protoplanetary dust and planetesimal formation, Astrophys. J. 740 (2011), p. 6.
   Web of Science ®Google Scholar
• M.A.I. Khan, X.Y. Luo, F.C.G.A. Nicolleau, P.G. Tucker, and G. Lo Iacono, Effects of LES sub-grid flow structure on particle deposition in a plane channel with a ribbed wall, Int. J. Num. Meth. Biomed. Eng. 26 (2010), pp. 999–1015.
   Web of Science ®Google Scholar
• D.A. McQuarrie, Statistical Mechanics, Harper & Row, New York, 1976.
   Google Scholar
• L.P. Wang, A.S. Wexler, and Y. Zhou, Statistical mechanical description and modeling of turbulent collision of inertial particles, J. Fluid Mech. 415 (2000), pp. 117–153.
   Web of Science ®Google Scholar
• O. Ayala, B. Rosa, and L.P. Wang, Effects of turbulence on the geometric collision rate of sedimenting droplets. Part 2. Theory and parameterization, New J. Phys. 10 (2008), p. 075016.
   Web of Science ®Google Scholar
• J. de Jong, J.P.L.C. Salazar, L. Cao, S.H. Woodward, L.R. Collins, and H. Meng, Measurement of inertial particle clustering and relative velocity statistics in isotropic turbulence using holographic imaging, Int. J. Multiphase Flow 36 (2010), pp. 324–332.
   Web of Science ®Google Scholar
• J. Bec, L. Biferale, M. Cencini, A.S. Lanotte, and F. Toschi, Intermittency in the velocity distribution of heavy particles in turbulence, J. Fluid Mech. 646 (2010), pp. 527–536.
   Web of Science ®Google Scholar
• J. Chun, D.L. Koch, S. Rani, A. Ahluwalia, and L.R. Collins, Clustering of aerosol particles in isotropic turbulence, J. Fluid Mech. 536 (2005), pp. 219–251.
   Web of Science ®Google Scholar
• L.I. Zaichik and V.M. Alipchenkov, Statistical models for predicting pair dispersion and particle clustering in isotropic turbulence and their applications, New J. Phys. 11 (2009), p. 103018.
   Web of Science ®Google Scholar
• J.P.L.C. Salazar and L.R. Collins, Inertial particle relative velocity statistics in homogeneous isotropic turbulence, J. Fluid Mech. 696 (2012), pp. 45–66.
   Web of Science ®Google Scholar
• Q. Wang and K.D. Squires, Large eddy simulation of particle-laden turbulent channel flow, Phys. Fluids 8 (1996), pp. 1207–1223.
   Web of Science ®Google Scholar
• Q. Wang and K. Squires, Large eddy simulation of particle deposition in a vertical turbulent channel flow, Int. J. Multiphase Flow 22 (1996), pp. 667–683.
   Web of Science ®Google Scholar
• V. Armenio, U. Piomelli, and V. Fiorotto, Effect of the subgrid scales on particle motion, Phys. Fluids 11 (1999), pp. 3030–3042.
   Web of Science ®Google Scholar
• M. Boivin, O. Simonin, and K.D. Squires, On the prediction of gas-solid flows with two-way coupling using large eddy simulation, Phys. Fluids 12 (2000), pp. 2080–2090.
   Web of Science ®Google Scholar
• P. Fede and O. Simonin, Numerical study of the subgrid fluid turbulence effects on the statistics of heavy colliding particles, Phys. Fluids 18 (2006), p. 045103.
   Web of Science ®Google Scholar
• C. Marchioli, M.V. Salvetti, and A. Soldati, Some issues concerning large-eddy simulation of inertial particle dispersion in turbulent bounded flows, Phys. Fluids 20 (2008), p. 040603.
   Web of Science ®Google Scholar
• J. Pozorski and S.V. Apte, Filtered particle tracking in isotropic turbulence and stochastic modeling of subgrid-scale dispersion, Int. J. Multiphase Flow 35 (2009), pp. 118–128.
   Web of Science ®Google Scholar
• J. Capecelatro, P. Pepiot, and O. Desjardins, Numerical characterization and modeling of particle clustering in wall-bounded vertical risers, Chem. Eng. J. 245 (2014), pp. 295–310.
   Google Scholar
• B. Shotorban and F. Mashayek, Modeling subgrid-scale effects on particles by approximate deconvolution, Phys. Fluids 17 (2005), p. 081701.
   Web of Science ®Google Scholar
• J.G.M. Kuerten, Subgrid modeling in particle-laden channel flow, Phys. Fluids 18 (2006), p. 025108.
   Web of Science ®Google Scholar
• G. Jin, G.W. He, and L.P. Wang, Large-eddy simulation of turbulent collision of heavy particles in isotropic turbulence, Phys. Fluids 22 (2010), p. 055106.
   Web of Science ®Google Scholar
• B. Ray and L.R. Collins, Preferential concentration and relative velocity statistics of inertial particles in Navier-Stokes turbulence with and without filtering, J. Fluid Mech. 680 (2011), pp. 488–510.
   Web of Science ®Google Scholar
• C. Gobert and M. Manhart, Subgrid modelling for particle-LES by Spectrally Optimised Interpolation (SOI), J. Comp. Phys. 230 (2011), pp. 7796–7820.
   Web of Science ®Google Scholar
• B. Shotorban and F. Mashayek, A stochastic model for particle motion in large-eddy simulation, J. Turb. 7 (2006), p. N11.
   Web of Science ®Google Scholar
• B. Shotorban and F. Mashayek, On Stochastic Modeling of Heavy Particle Dispersion in Large-Eddy Simulation of Two-Phase Turbulent Flow, IUTAM Symposium on Computational Multiphase Flow Vol. 81, Part V, Springer, Dordrecht, 2006.
   Google Scholar
• P. Fede, O. Simonin, P. Villedieu, and K.D. Squires, Stochastic Modeling of Turbulent Subgrid Fluid Velocity Along Inertia Particle Trajectories, Proceedings of the 2006 CTR Summer Program, Center for Turbulence Research, Stanford, CA, 2006.
   Google Scholar
• M.J. Cernick, Particle subgrid scale modeling in large-eddy simulation of particle-laden turbulence, Master's thesis, McMaster University, 2013.
   Google Scholar
• B. Ray and L.R. Collins, Investigation of sub-Kolmogorov inertial particle pair dynamics in turbulence using novel satellite particle simulations, J. Fluid Mech. 720 (2013), pp. 192–211.
   Web of Science ®Google Scholar
• S.B. Pope Turbulent Flows, Cambridge University Press, New York, 2000.
   Google Scholar
• G.S. Patterson and S.A. Orszag, Spectral calculation of isotropic turbulence: Efficient removal of aliasing interactions, Phys. Fluids 14 (1971), pp. 2538–2541.
   Web of Science ®Google Scholar
• R.W. Johnson (ed.), The Handbook of Fluid Dynamics, CRC Press, New York, 1998.
   Google Scholar
• K.A. Brucker, J.C. Isaza, T. Vaithianathan, and L.R. Collins, Efficient algorithm for simulating homogeneous turbulent shear flow without remeshing, J. Comp. Phys. 225 (2007), pp. 20–32.
   Web of Science ®Google Scholar
• A. Witkowska, J.G. Brasseur, and D. Juvé, Numerical study of noise from isotropic turbulence, J. Comput. Acoust. 5 (1997), pp. 317–336.
   Web of Science ®Google Scholar
• S. Sundaram and L.R. Collins, A numerical study of the modulation of isotropic turbulence by suspended particles, J. Fluid Mech. 379 (1999), pp. 105–143.
   Web of Science ®Google Scholar
• M.R. Maxey and J.J. Riley, Equation of motion for a small rigid sphere in a nonuniform flow, Phys. Fluids 26 (1983), pp. 883–889.
   Web of Science ®Google Scholar
• P.J. Ireland, T. Vaithianathan, and L.R. Collins, Massively parallel simulations of inertial particles in high-Reynolds-number turbulence, Proceedings of the Seventh International Conference on Computational Fluid Dynamics, Hawaii, 2012.
   Google Scholar
• P.J. Ireland, T. Vaithianathan, P.S. Sukheswalla, B. Ray, and L.R. Collins, Highly parallel particle-laden flow solver for turbulence research, Comput. Fluids 76 (2013), pp. 170–177.
   Google Scholar
• R.H. Kraichnan, Diffusion by a random velocity field, Phys. Fluids 13 (1970), pp. 22–31.
   Web of Science ®Google Scholar
• J.C.H. Fung, J.C.R. Hunt, N.A. Malik, and R.J. Perkins, Kinematic simulation of homogeneous turbulence by unsteady random Fourier modes, J. Fluid Mech. 236 (1992), pp. 281–318.
   Web of Science ®Google Scholar
• P. Flohr and J.C. Vassilicos, A scalar subgrid model with flow structure for large-eddy simulations of scalar variances, J. Fluid Mech. 407 (2000), pp. 315–349.
   Web of Science ®Google Scholar
• D.R. Osborne, J.C. Vassilicos, and J.D. Haigh, One-particle two-time diffusion in three-dimensional homogeneous isotropic turbulence, Phys. Fluids 17 (2005), p. 035104.
   Google Scholar
• N.A. Malik and J.C. Vassilicos, A Lagrangian model for turbulent dispersion with turbulent-like flow structure: Comparison with direct numerical simulation for two-particle statistics, Phys. Fluids 11 (1999), pp. 1572–1580.
   Web of Science ®Google Scholar
• G. Lacorata, A. Mazzino, and U. Rizza, 3D chaotic model for subgrid turbulent dispersion in large eddy simulations, J. Turbul. 65 (2008), pp. 2389–2401.
   Google Scholar
• H.D. Yao and G.W. He, A kinematic subgrid scale model for large-eddy simulation of turbulence-generated sound, J. Turbul. 10 (2009), pp. 1–14.
   Web of Science ®Google Scholar
• A.D. Bragg and L.R. Collins, New insights from comparing statistical theories for inertial particles in turbulence. Part I. Spatial distribution of particles, New J. Phys., in press (2014).
   PubMedGoogle Scholar
• M. Ulitsky and L.R. Collins, Relative importance of coherent structures vs background turbulence in the propagation of a premixed flame, Combust. Flame 111 (1997), pp. 257–275.
   Web of Science ®Google Scholar
• N. Clark and J. Vassilicos, Kinematic simulation of fully developed turbulent channel flow, Flow Turbul. Combust. 86 (2011), pp. 263–293.
   Web of Science ®Google Scholar
• E.W. Weisstein, Sphere Point Picking, MathWorld – A Wolfram Web Resource, 2013; software available at http://mathworld.wolfram.com/SpherePointPicking.html.
   Google Scholar