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A simple dynamic subgrid-scale model for LES of particle-laden turbulence

George Ilhwan Park, Maxime Bassenne, Javier Urzay*, and Parviz Moin

  • Center for Turbulence Research, Stanford University, Stanford, California 94305-3024, USA

  • *Corresponding author: jurzay@stanford.edu
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Phys. Rev. Fluids 2, 044301 – Published 14 April, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.044301

Abstract

In this study, a dynamic model for large-eddy simulations is proposed in order to describe the motion of small inertial particles in turbulent flows. The model is simple, involves no significant computational overhead, contains no adjustable parameters, and is flexible enough to be deployed in any type of flow solvers and grids, including unstructured setups. The approach is based on the use of elliptic differential filters to model the subgrid-scale velocity. The only model parameter, which is related to the nominal filter width, is determined dynamically by imposing consistency constraints on the estimated subgrid energetics. The performance of the model is tested in large-eddy simulations of homogeneous-isotropic turbulence laden with particles, where improved agreement with direct numerical simulation results is observed in the dispersed-phase statistics, including particle acceleration, local carrier-phase velocity, and preferential-concentration metrics.

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References (51)

  1. A. L. Sánchez, J. Urzay, and A. Liñán, The role of separation of scales in the description of spray combustion, Proc. Combust. Inst. 35, 1549 (2015).
  2. J. Urzay, M. Bassenne, G. I. Park, and P. Moin, Characteristic Regimes of Subgrid-Scale Coupling in LES of Particle-Laden Turbulent Flows, Annual Research Briefs 2014, Center for Turbulence Research (Stanford University, Stanford, 2014), pp. 3–13.
  3. V. Armenio, U. Piomelli, and V. Fiorotto, Effect of the subgrid scales on particle motion, Phys. Fluids 11, 3030 (1999).
  4. J. G. M. Kuerten and A. Vreman, Can turbophoresis be predicted by large-eddy simulation? Phys. Fluids 17, 011701 (2005).
  5. C. Marchioli, M. Salvetti, and A. Soldati, Some issues concerning large-eddy simulation of inertial particle dispersion in turbulent bounded flows, Phys. Fluids 20, 040603 (2008).
  6. G. Jin, G. W. He, and L. P. Wang, Large-eddy simulation of turbulent collision of heavy particles in isotropic turbulence, Phys. Fluids 22, 055106 (2010).
  7. 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, 488 (2011).
  8. M. J. Cernick, S. W. Tullis, and M. F. Lightstone, Particle subgrid scale modeling in large-eddy simulations of particle-laden turbulence, J. Turbul. 16, 101 (2014).
  9. G. He, G. Jin, and Y. Yang, Space-time correlations and dynamic coupling in turbulent flows, Annu. Rev. Fluid Mech. 49, 51 (2017).
  10. A. D. Gosman and E. Ioannides, Aspects of computer simulation of liquid-fueled combustors, J. Energy 7, 482 (1983).
  11. Q. Wang and K. Squires, Large eddy simulation of particle-laden turbulent channel flow, Phys. Fluids 8, 1207 (1996).
  12. K. Fukagata, S. Zahrai, and F. H. Bark, Dynamics of Brownian particles in a turbulent channel flow, Heat Mass Transfer 40, 715 (2004).
  13. B. Shotorban and F. Mashayek, A stochastic model for particle motion in large-eddy simulation, J. Turbul. 7, N18 (2006).
  14. P. Fede, O. Simonin, P. Villedieu, and K. Squires, Stochastic modeling of the turbulent subgrid fluid velocity along inertial particle trajectories, Proceedings of the Summer Program, Center for Turbulence Research (Stanford University, Stanford, 2006), pp. 247–258.
  15. A. Berrouk, D. Laurence, J. Riley, and D. Stock, Stochastic modeling of inertial particle dispersion by subgrid motion for LES of high Reynolds number pipe flow, J. Turbul. 8, N50 (2007).
  16. M. Bini and W. Jones, Particle acceleration in turbulent flows: a class of nonlinear stochastic models for intermittency, Phys. Fluids 19, 035104 (2007).
  17. J. Pozorski and S. Apte, Filtered particle tracking in isotropic turbulence and stochastic modeling of subgrid-scale dispersion, Int. J. Multiphase Flow 35, 118 (2009).
  18. G. Jin and G. He, A nonlinear model for the subgrid timescale experienced by heavy particles in large eddy simulation of isotropic turbulence with a stochastic differential equation, New J. Phys. 15, 035011 (2013).
  19. M. Gorokhovski and R. Zamansky, Lagrangian simulation of large and small inertial particles in a high Reynolds number flow: Stochastic simulation of subgrid turbulence/particle interactions, Proceedings of the Summer Program, Center for Turbulence Research (Stanford University, Stanford, 2014), pp. 37–46.
  20. J. P. Minier, On Lagrangian stochastic methods for turbulent polydisperse two-phase reactive flows, Prog. Energy Combust. Sci. 50, 1 (2015).
  21. B. Shotorban and F. Mashayek, Modeling subgrid-scale effects on particles by approximate deconvolution, Phys. Fluids 17, 081701 (2005).
  22. J. G. M. Kuerten, Subgrid modeling in particle-laden channel flow, Phys. Fluids 18, 025108 (2006).
  23. W. Michalek, J. Kuerten, J. Zeegers, R. Liew, J. Pozorski, and B. Geurts, A hybrid stochastic deconvolution model for large-eddy simulation of particle-laden flow, Phys. Fluids 25, 123302 (2013).
  24. C. Gobert and M. Manhart, Subgrid modeling for particle-LES by spectrally optimised interpolation (SOI), J. Comput. Phys. 230, 7796 (2011).
  25. B. Ray and L. R. Collins, A subgrid model for clustering of high-inertia particles in large-eddy simulations of turbulence, J. Turbul. 15, 366 (2014).
  26. S. Murray, M. F. Lightstone, and S. Tullis, Single-particle Lagrangian and structure statistics in kinematically simulated particle-laden turbulent flows, Phys. Fluids 28, 033302 (2016).
  27. J. Bardina, J. H. Ferziger, and W. C. Reynolds, Improved Subgrid Scale Models for Large-Eddy Simulation, Proceedings of the 13th Conference on Fluid and Plasma Dynamics, Snowmass, 1980 (AIAA, Reston, 1980), paper 80-1357.
  28. S. Liu, C. Meneveau, and J. Katz, On the properties of similarity subgrid-scale models and deduced from measurements in a turbulent jet, J. Fluid Mech. 275, 83 (1994).
  29. A. W. Cook, Determination of the constant coefficient in scale similarity models of turbulence, Phys. Fluids 9, 1485 (1997).
  30. M. Germano, Differential filters for the large-eddy numerical simulation of turbulent flows, Phys. Fluids 29, 1755 (1986).
  31. M. Germano, Differential filters of elliptic type, Phys. Fluids 29, 1757 (1986).
  32. S. Bose and P. Moin, A dynamic slip boundary condition for wall-modeled large-eddy simulations, Phys. Fluids 26, 015104 (2014).
  33. G. I. Park, J. Urzay, M. Bassenne, and P. Moin, A Dynamic Subgrid-Scale Model Based on Differential Filters for LES of Particle-Laden Turbulent Flows, Annual Research Briefs 2015, Center for Turbulence Research (Stanford University, Stanford, 2015), pp. 17–26.
  34. M. Bassenne and J. Urzay, A Dynamic Approximate Deconvolution Model for Unfiltered Scalars in LES, Annual Research Briefs 2016, Center for Turbulence Research (Stanford University, Stanford, 2016), pp. 105–106.
  35. N. Okong'o and J. Bellan, A priori subgrid analysis of temporal mixing layers with evaporating droplets, Phys. Fluids 12, 1573 (2000).
  36. S. Bose and P. Moin, Grid independent large-eddy simulation using explicitly filtering, Phys. Fluids 22, 105103 (2010).
  37. N. Park and K. Mahesh, A velocity-estimation subgrid model constrained by subgrid scale dissipation, J. Comput. Phys. 227, 4190 (2008).
  38. M. Bassenne, J. Urzay, G. I. Park, and P. Moin, Constant-energetics physical-space forcing methods for improved convergence to homogeneous-isotropic turbulence with application to particle-laden flows, Phys. Fluids 28, 035114 (2016).
  39. H. Pouransari, M. Mortazavi, and A. Mani, Parallel Variable-Density Particle-Laden Turbulence Simulation, Annual Research Briefs 2015, Center for Turbulence Research (Stanford University, Stanford, 2015), pp. 43–54.
  40. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, A dynamic subgrid-scale eddy viscosity model, Phys. Fluids 3, 1760 (1991).
  41. P. Moin, K. Squires, W. Cabot, and S. Lee, A dynamic subgrid scale model for compressible turbulence and scalar transport, Phys. Fluids 3, 2746 (1991).
  42. D. K. Lilly, A proposed modification of the Germano subgridscale closure method, Phys. Fluids 4, 633 (1992).
  43. W. Rozema, H. J. Bae, P. Moin, and R. Verstappen, Minimum-dissipation models for large-eddy simulation, Phys. Fluids 27, 085107 (2015).
  44. B. Kadoch, M. Bassenne, M. Esmaily-Moghadam, K. Schneider, M. Farge, and W. J. T. Bos, Multi-scale geometrical Lagrangian statistics: Extensions and applications to particle-laden turbulent flows, Proceedings of the Summer Program, Center for Turbulence Research (Stanford University, Stanford, 2016), pp. 53–62.
  45. K. D. Squires and J. K. Eaton, Preferential concentration of particles by turbulence, Phys. Fluids 3, 1169 (1991).
  46. A. Robinson, On the motion of small particles in a potential field of flow, Commun. Pure Appl. Math. 9, 69 (1956).
  47. M. Bassenne, J. Urzay, and P. Moin, Spatially-Localized Wavelet-Based Spectral Analysis of Preferential Concentration in Particle-Laden Turbulence, Annual Research Briefs 2015, Center for Turbulence Research (Stanford University, Stanford, 2015), pp. 3–16.
  48. M. Bassenne, J. Urzay, and P. Moin, Extraction of Coherent Clusters in Particle-Laden Turbulent Flows using Wavelet Filters, Annual Research Briefs 2016, Center for Turbulence Research (Stanford University, Stanford, 2016), pp. 105–119.
  49. A. Ferrante and S. Elghobashi, On the physical mechanisms of two-way coupling in particle-laden isotropic turbulence, Phys. Fluids. 15, 315 (2003).
  50. M. Herrmann and M. Gorokhovski, A large eddy simulation subgrid model for turbulent phase interface dynamics, Proceedings of the 11th Triennial International Annual Conference on Liquid Atomization and Spray Systems (ICLASS 2009) (Curran, Red Hook, 2009).
  51. F. Ciaraldi-Schoolmann, I. R. Seitenzahl, and F. K. Röpke, A subgrid-scale model for deflagration-to-detonation transitions in Type Ia supernova explosion simulations, Astron. Astrophys. 559, A117 (2013).

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Phys. Rev. Fluids 2, 044301– Published 14 April, 2017
  • Received 1 July 2016
Article part of CHORUS

©2017 American Physical Society

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