- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Fluids

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access
  • Access by Xinjiang University

Study of subgrid-scale velocity models for reacting and nonreacting flows

I. Langella*, N. A. K. Doan, and N. Swaminathan

S. B. Pope

  • Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, United Kingdom

  • Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, USA

  • *il246@cam.ac.uk
PDF

Phys. Rev. Fluids 3, 054602 – Published 4 May, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.054602

Abstract

A study is conducted to identify advantages and limitations of existing large-eddy simulation (LES) closures for the subgrid-scale (SGS) kinetic energy using a database of direct numerical simulations (DNS). The analysis is conducted for both reacting and nonreacting flows, different turbulence conditions, and various filter sizes. A model, based on dissipation and diffusion of momentum (LD-D model), is proposed in this paper based on the observed behavior of four existing models. Our model shows the best overall agreements with DNS statistics. Two main investigations are conducted for both reacting and nonreacting flows: (i) an investigation on the robustness of the model constants, showing that commonly used constants lead to a severe underestimation of the SGS kinetic energy and enlightening their dependence on Reynolds number and filter size; and (ii) an investigation on the statistical behavior of the SGS closures, which suggests that the dissipation of momentum is the key parameter to be considered in such closures and that dilatation effect is important and must be captured correctly in reacting flows. Additional properties of SGS kinetic energy modeling are identified and discussed.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (34)

  1. S. B. Pope, Large-eddy simulation, in Turbulent Flows (Cambridge University Press, Cambridge, UK, 2000), Chap. 13.
  2. M. Lesieur, O. Metais, and P. Comte, Large-Eddy Simulations of Turbulence (Cambridge University Press, Cambridge, UK, 2005).
  3. T. J. Poinsot and D. Veynante, Theoretical and Numerical Combustion, 2nd ed. (Edwards, Philadelphia, 2005).
  4. J. Smagorinsky, General circulation experiments with the primitive equations: I. The basic experiment, Mon. Weather Rev. 91, 99 (1963).
  5. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, A dynamic subgrid-scale eddy viscosity model, Phys. Fluids A 3, 1760 (1991).
  6. D. K. Lilly, On the Application of the Eddy Viscosity Concept in the Inertial Sub-range of Turbulence, Technical Report 123, NCAR, Boulder, CO, USA, 1966.
  7. D. K. Lilly, The representation of small-scale turbulence in numerical simulation experiments, in Proceedings of the IBM Scientific Computing Symposium on Environmental Sciences, 320-1951, edited by H. H. Goldstine (IBM, White Plains, New York, 1967), pp. 195–210.
  8. J. Bardina, J. H. Ferziger, and W. C. Reynolds, Improved subgrid scale models for large-eddy simulation, in 13th Fluid and Plasma Dynamics Conference, 14–16 July 1980, Snowmass, Colorado, USA (AIAA, Reston, VA, 1980), AIAA Paper 80-1357.
  9. S. Liu, C. Meneveau, and J. Katz, On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet, J. Fluid Mech. 275, 83 (1994).
  10. R. S. Cant, RANS and LES modeling of turbulent combustion, in Turbulent Combustion Modelling: Advances, New Trends, and Perspectives, edited by T. Echekki and E. Mastorakos (Springer, Heidelberg, 2011), pp. 63–87.
  11. L. Y. M. Gicquel, G. Staffelbach, and T. Poinsot, Large eddy Simulations of gaseous flames in gas turbine combustion chambers, Prog. Energy Combust. Sci. 38, 782 (2012).
  12. I. Langella, N. Swaminathan, F. A. Williams, and J. Furukawa, Large-eddy simulation of premixed combustion in the corrugated-flamelet regime, Combust. Sci. Technol. 188, 1565 (2016).
  13. I. Langella, N. Swaminathan, Y. Gao, and N. Chakraborty, Large eddy simulation of premixed combustion: Sensitivity to SGS velocity modelling, Combust. Sci. Technol. 189, 43 (2017).
  14. M. P. Martín, U. Piomelli, and G. V. Candler, Subgrid-scale models for compressible large-eddy simulations, Theor. Comput. Fluid Dyn. 13, 361 (2000).
  15. A. Abba, C. Cercignani, and L. Valdettaro, Analysis of subgrid scale models, Comput. Mathmatics with Appl. 46, 521 (2003).
  16. N. S. Vaghefi, M. B. Nik, P. H. Pisciuneri, and C. K. Madnia, A priori assessment of the subgrid scale viscous/scalar dissipation closures in compressible turbulence, J. Turbul. 14, 43 (2013).
  17. M. Klein, N. Chakraborty, and M. Pfitzner, Analysis of the combined modeling of sub-grid transport and filtered flame propagation for premixed turbulent combustion, Flow Turbul. Combust. 96, 921 (2016).
  18. S. Lapointe and G. Blanquart, A priori filtered chemical source term modeling for LES of high Karlovitz number premixed flames, Combust. Flame 176, 500 (2017).
  19. F. Proch, P. Domingo, L. Vervisch, and A. M. Kempf, Flame resolved simulation of a turbulent premixed bluff-body burner experiment. Part I: Analysis of the reaction zone dynamics with tabulated chemistry, Combust. Flame 180, 321 (2017).
  20. M. Tanahashi, T. Miyauchi, and J. Ikeda, Identification of coherent fine scale structure in turbulence, in IUTAM Symposium on Simulation and Identification of Organized Structures in Flows, Fluid Mechanics and Its Applications (Springer, Dordrecht, 1999), Vol. 52, pp. 131–140.
  21. T. Ishihara, Y. Kaneda, and J. C. R. Hunt, Thin shear layers in high Reynolds number turbulence—DNS results, Flow Turbul. Combust. 91, 895 (2013).
  22. Y. Minamoto, N. Swaminathan, R. S. Cant, and T. Leung, Reaction zones and their structure in MILD combustion, Combust. Sci. Technol. 186, 1075 (2014).
  23. Y. Gao, N. Chakraborty, and N. Swaminathan, Algebraic closure of scalar dissipation rate for large eddy simulations of turbulent premixed combustion, Combust. Sci. Technol. 186, 1309 (2014).
  24. M. D. Smoke and V. Giovangigli, Formulation of the premixed and nonpremixed test problems, in Reduced Kinetic Mechanisms and Asymptotic Approximations for Methane-Air Flames, Lecture Notes in Physics Vol. 384, edited by M. D. Smooke (Springer, Berlin, Heidelberg, 1991), pp. 1–28.
  25. X. Chai and K. Mahesh, Dynamic k-equation model for large eddy simulation of compressible flow, J. Fluid Mech. 699, 385 (2012).
  26. L. C. Berselli, T. Iliescu, and W. J. Layton, Scale similarity models, in Mathematics of Large Eddy Simulation of Turbulent Flows (Springer-Verlag, Berlin, 2006).
  27. P. J. Colucci, F. A. Jaberi, P. Givi, and S. B. Pope, Filtered density function for large eddy simulation of turbulent reacting flows, Phys. Fluids 10, 499 (1998).
  28. O. Colin, F. Ducros, D. Veynante, and T. J. Poinsot, A thickened flame model for large eddy simulations of turbulent premixed combustion, Phys. Fluids 12, 1843 (2000).
  29. M. G. Kendall and A. Stuart, The Advanced Theory of Statistics, Volume 2: Interference and Relationship (Griffin, London, UK, 1973).
  30. V. Moureau, P. Domingo, and L. Vervisch, From large-eddy simulation to direct numerical simulation of a lean premixed swirl flame: Filtered laminar flame-PDF, Combust. Flame 158, 1340 (2011).
  31. P. S. Volpiani, T. Schmitt, and D. Veynante, A posteriori tests of a dynamic thickened flame model for large eddy simulations of turbulent premixed combustion, Combust. Flame 174, 166 (2016).
  32. A. L. Marsden, O. V. Vasilyev, and P. Moin, Construction of commutative filters for LES on unstructured meshes, J. Comput. Phys. 175, 584 (2002).
  33. J. Jiménez and R. D. Moser, LES: Where are we and what can we expect? in 29th AIAA Fluid Dynamics Conference, (AIAA, Albuquerque, NM, 1998), Paper 98-2891.
  34. P. E. Hamlington, A. Y. Poludnenko, and E. S. Oran, Interactions between turbulence and flames in premixed reacting flows, Phys. Fluids 23, 125111 (2011).

Outline

Information

Phys. Rev. Fluids 3, 054602– Published 4 May, 2018
  • Received 27 November 2017
Article part of CHORUS
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

©2018 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation