Skip to main content
SpringerLink
Log in

Large eddy simulation of turbulent premixed and stratified combustion using flame surface density model coupled with tabulation method

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Large eddy simulations (LESs) are performed to investigate the Cambridge premixed and stratified flames, SwB1 and SwB5, respectively. The flame surface density (FSD) model incorporated with two different wrinkling factor models, i.e., the Muppala and Charlette2 wrinkling factor models, is used to describe combustion/turbulence interaction, and the flamelet generated manifolds (FGM) method is employed to determine major scalars. This coupled sub-grid scale (SGS) combustion model is named as the FSD-FGM model. The FGM method can provide the detailed species in the flame which cannot be obtained from the origin FSD model. The LES results show that the FSD-FGM model has the ability of describing flame propagation, especially for stratified flames. The Charlette2 wrinkling factor model performs better than the Muppala wrinkling factor model in predicting the flame surface area change by the turbulence. The combustion characteristics are analyzed in detail by the flame index and probability distributions of the equivalence ratio and the orientation angle, which confirms that for the investigated stratified flame, the dominant combustion modes in the upstream and downstream regions are the premixed mode and the back-supported mode, respectively.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. ZHANG, H. D., HAN, C., YE, T. H., and REN, Z. Y. Large eddy simulation of turbulent premixed combustion using tabulated detailed chemistry and presumed probability density function. Journal of Turbulence, 17, 327–355 (2015)

    Article  MathSciNet  Google Scholar 

  2. SHI, X., CHEN, J. Y., and CHEN, Z. Numerical study of laminar flame speed of fuel-stratified hydrogen/air flames. Combustion and Flame, 163, 394–405 (2016)

    Article  Google Scholar 

  3. LIN, M. D., CUI, G. X., and ZHANG, Z. S. Large eddy simulation of aircraft wake vortex with self-adaptive grid method. Applied Mathematics and Mechanics (English Edition), 37(10), 1289–1304 (2016) https://doi.org/10.1007/s10483-016-2132-9

    Article  MathSciNet  Google Scholar 

  4. ZHANG, H. D., YU, Z., YE, T. H., ZHAO, M. J., and CHENG, M. Large eddy simulation of turbulent lifted flame in a hot vitiated coflow using tabulated detailed chemistry. Applied Thermal Engineering, 128, 1660–1672 (2018)

    Article  Google Scholar 

  5. HAN, C., ZHANG, P., YE, T. H., and CHEN, Y. L. Numerical study of methane/air jet flame in vitiated co-flow using tabulated detailed chemistry. Science China Technological Sciences, 57, 1750–1760 (2014)

    Article  Google Scholar 

  6. SWEENEY, M. S., HOCHGREB, S., DUNN, M. J., and BARLOW, R. S. The structure of turbulent stratified and premixed methane/air flames, I: non-swirling flows. Combustion and Flame, 159, 2896–2911 (2012)

    Article  Google Scholar 

  7. PROCH, F. and KEMPF, A. M. Numerical analysis of the Cambridge stratified flame series using artificial thickened flame LES with tabulated premixed flame chemistry. Combustion and Flame, 161, 2627–2646 (2014)

    Article  Google Scholar 

  8. NAMBULLY, S., DOMINGO, P., MOUREAU, V., and VERVISCH, L. A filtered-laminar-flame PDF sub-grid scale closure for LES of premixed turbulent flames, part I: formalism and application to a bluff-body burner with differential diffusion. Combustion and Flame, 161, 1756–1774 (2014)

    Article  Google Scholar 

  9. BRAUNER, T., JONES, W. P., and MARQUIS, A. J. LES of the Cambridge stratified swirl burner using a sub-grid PDF approach. Flow Turbulence and Combustion, 96, 965–985 (2016)

    Article  Google Scholar 

  10. ZHANG, H. D., YE, T. H., WANG, G. F., TANG, P., and LIU, M. H. Large eddy simulation of turbulent premixed swirling flames using dynamic thickened flame with tabulated detailed Chemistry. Flow Turbulence and Combustion, 98, 841–885 (2017)

    Article  Google Scholar 

  11. BOGER, M., VEYNANTE, D., BOUGHANEM, H., and TROUVÉ, A. Direct numerical simulation analysis of flame surface density concept for large eddy simulation of turbulent premixed combustion. Symposium on Combustion, 27, 917–925 (1998)

    Article  Google Scholar 

  12. MA, T., STEIN, O. T., CHAKRABORTY, N., and KEMPF, A. M. A posteriori testing of algebraic flame surface density models for LES. Combustion Theory and Modelling, 17, 431–482 (2013)

    Article  MathSciNet  Google Scholar 

  13. MA, T., STEIN, O. T., CHAKRABORTY, N., and KEMPF, A. M. A posteriori testing of the flame surface density transport equation for LES. Combustion Theory and Modelling, 18, 32–64 (2014)

    Article  MathSciNet  Google Scholar 

  14. MARINCOLA, F. C., MA, T., and KEMPF, A. M. Large eddy simulations of the Darmstadt turbulent stratified flame series. Proceedings of the Combustion Institute, 34, 1307–1315 (2013)

    Article  Google Scholar 

  15. BUTZ, D., GAO, Y., KEMPF, A. M., and CHAKRABORTY, N. Large eddy simulations of a turbulent premixed swirl flame using an algebraic scalar dissipation rate closure. Combustion and Flame, 162, 3180–3196 (2015)

    Article  Google Scholar 

  16. MA, T., GAO, Y., KEMPF, A. M., and CHAKRABORTY, N. Validation and implementation of algebraic LES modelling of scalar dissipation rate for reaction rate closure in turbulent premixed combustion. Combustion and Flame, 161, 3134–3153 (2014)

    Article  Google Scholar 

  17. AUZILLON, P., GICQUEL, O., DARABIHA, N., VEYNANTE, D., and FIORINA, B. A filtered tabulated chemistry model for LES of stratified flames. Combustion and Flame, 159, 2704–2717 (2012)

    Article  Google Scholar 

  18. LECOCQ, G., RICHARD, S., COLIN, O., and VERVISCH, L. Hybrid presumed PDF and flame surface density approaches for large-eddy simulation of premixed turbulent combustion, part 1: formalism and simulation of a quasi-steady burner. Combustion and Flame, 158, 1201–1214 (2011)

    Article  Google Scholar 

  19. ZHOU, R. G., BALUSAMY, S., SWEENEY, M. S., BARLOW, R. S., and HOCHGREB, S. Flow field measurements of a series of turbulent premixed and stratified methane/air flames. Combustion and Flame, 160, 2017–2028 (2013)

    Article  Google Scholar 

  20. PIERCE, C. D. and MOIN, P. A dynamic model for subgrid-scale variance and dissipation rate of a conserved scalar. Physics of Fluids, 10, 3041–3044 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  21. CHAKRABORTY, N. and CANT, R. S. A priori analysis of the curvature and propagation terms of the flame surface density transport equation for large eddy simulation. Physics of Fluids, 19, 105101 (2007)

    Article  MATH  Google Scholar 

  22. MUPPALA, S. P. R., ALURI, N. K., DINKELACKER, F., and LEIPERTZ, A. Development of an algebraic reaction rate closure for the numerical calculation of turbulent premixed methane, ethylene, and propane/air flames for pressures up to 1.0 MPa. Combustion and Flame, 140, 257–266 (2005)

    Article  Google Scholar 

  23. OIJEN, J. and GOEY, L. H. Modelling of premixed counterflow flames using the flamelet-generated manifold method. Combustion Theory and Modelling, 6, 463–478 (2002)

    Article  Google Scholar 

  24. DOMINGO, P., VERVISCH, L., PAYET, S., and HAUGUEL, R. DNS of a premixed turbulent V flame and LES of a ducted flame using a FSD-PDF subgrid scale closure with FPI-tabulated chemistry. Combustion and Flame, 143, 566–586 (2005)

    Article  Google Scholar 

  25. DOMINGO, P., VERVISCH, L., and VEYNANTE, D. Large-eddy simulation of a lifted methane jet flame in a vitiated coflow. Combustion and Flame, 152, 415–432 (2008)

    Article  Google Scholar 

  26. MASRI, A. R. Partial premixing and stratification in turbulent flames. Proceedings of the Combustion Institute, 35, 1115–1136 (2015)

    Article  Google Scholar 

Download references

Acknowledgements

All the numerical simulations have been done on the supercomputing system in the Supercomputing Center of the University of Science and Technology of China.

Author information

Authors and Affiliations

  1. Department of Thermal Science and Energy Engineering, University of Science and Technology of China, Hefei, 230027, China

    Zhou Yu, Taohong Ye & Minming Zhu

  2. Shenyang Engine Research Institute, Aero Engine (Group) Corporation of China, Shenyang, 110015, China

    Hongda Zhang

Authors
  1. Zhou Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hongda Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Taohong Ye
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Minming Zhu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Taohong Ye.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 91441117 and 51576182)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yu, Z., Zhang, H., Ye, T. et al. Large eddy simulation of turbulent premixed and stratified combustion using flame surface density model coupled with tabulation method. Appl. Math. Mech.-Engl. Ed. 39, 1719–1736 (2018). https://doi.org/10.1007/s10483-018-2396-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-018-2396-9

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

Search

Navigation