Abstract
The accuracy of large-eddy simulation (LES) of a turbulent premixed Bunsen flame is investigated in this paper. To distinguish between discretization and modeling errors, multiple LES, using different grid sizes h but the same filterwidth Δ, are compared with the direct numerical simulation (DNS). In addition, LES using various values of Δ but the same ratio Δ/h are compared. The chemistry in the LES and DNS is parametrized with the standard steady premixed flamelet for stochiometric methane-air combustion. The subgrid terms are closed with an eddy-viscosity or eddy-diffusivity approach, with an exception of the dominant subgrid term, which is the subgrid part of the chemical source term. The latter subgrid contribution is modeled by a similarity model based upon 2Δ, which is found to be superior to such a model based upon Δ. Using the 2Δ similarity model for the subgrid chemistry the LES produces good results, certainly in view of the fact that the LES is completely wrong if the subgrid chemistry model is omitted. The grid refinements of the LES show that the results for Δ = h do depend on the numerical scheme, much more than for h = Δ/2 and h = Δ/4. Nevertheless, modeling errors and discretization error may partially cancel each other; occasionally the Δ = h results were more accurate than the h ≤ Δ results. Finally, for this flame LES results obtained with the present similarity model are shown to be slightly better than those obtained with standard β-pdf closure for the subgrid chemistry.
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References
Peters, N.: Turbulent Combustion. Cambridge University Press, Cambridge (2000)
Pitsch, H., Steiner, H.: Large-eddy simulation of a turbulent piloted methane/air diffusion flame (Sandia flame D). Phys. Fluids 12, 2541–2554 (2000)
Van Oijen, J.A., De Goey, L.P.H.: Modelling of premixed laminar flames using flamelet-generated anifolds. Combust. Sci. Technol. 161, 113–137 (2000)
Van Oijen, J.A.: Flamelet-generated manifolds: development and application to premixed laminar flames. Ph.D. thesis, University of Technology Eindhoven (2002)
Pierce, C.D., Moin, P.: Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion. J. Fluid Mech. 504, 73–97 (2004)
Domingo, P., Vervisch, L., Payet, S., 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. Combust. Flame 143, 566–586 (2005)
Vreman, B., Geurts, B., Kuerten, H.: Comparison of numerical schemes in large-eddy simulation of the temporal mixing layer. Int. J. Numer. Methods Fluids 22, 297–311 (1996)
Meyers, J., Geurts, B.J., Baelmans, M.: Database analysis of errors in large-eddy simulation. Phys. Fluids 15, 2740–2755 (2003)
Filatyev, S.A., Driscoll, J.F., Carter, C.D., Donbar, J.M.: Measured properties of turbulent premixed flames for model assessment, including burning velocities, stretch rates, and surface densities. Combust. Flame 141, 1–21 (2005)
Bell, J.B., Day, M.S., Grcar, J.F., Lijewski, M.J., Driscoll, J.F., Filatyev, S.A.: Numerical simulation of a laboratory-scale turbulent slot flame. Proc. Comb. Inst. 31, 1299–1307 (2007)
Van Oijen, J.A., Bastiaans, R.J.M., Groot, G.R.A., de Goey, L.P.H.: Direct numerical simulations of premixed turbulent flames with reduced chemistry: validation and flamelet analysis. Flow Turbul. Combust. 75, 67–84 (2005)
Givi, P.: Model-free simulations of turbulent reactive flows. Prog. Energy Combust. Sci. 15, 1–107 (1989)
Pope, S.B.: Ten questions concerning the large-eddy simulation of turbulent flows. New J. Phys. 6, 35 (2004)
Smooke, M.D., Giovangigli, V.: Formulation of the premixed and nonpremixed test problems. In: Smooke, M.D. (ed.) Reduced kinetic mechanisms and asymptotic approximations for methane-air flames, pp. 1–28. Springer, Berlin (1991)
Vreman, A.W.: An eddy-viscosity model for turbulent shear-flow: algebraic theory and applications. Phys. Fluids 16, 3670–3681 (2004)
Vreman, A.W., van Oijen, J.A., de Goey, L.P.H., Bastiaans, R.J.M.: Subgrid scale modeling in large eddy simulation of turbulent combustion using premixed flamelet chemistry. Flow Turbul. Combust. (2008). doi:10.1007/s10494-008-9159-x
Geurts, B.J.: Regularization modeling for large-eddy simulation of diffusion flames. In: Proceedings ECCOMAS CFD 2006, Delft University of Technology, Delft, 5–8 September 2006
Bardina, J., Ferziger, J.H., Reynolds, W.C.: Improved turbulence models based on LES of homogeneous incompressible turbulent flows. Department of Mechanical Engineering, Report No TF-19, Stanford (1984)
Stolz, S., Adams, N.A., Kleiser, L.: An approximate deconvolution model for large-eddy simulation with application to incompressible wall-bounded flows. Phys. Fluids 13, 997–1015 (2001)
Vreman, B., Geurts, B., Kuerten, H.: Realizability conditions for the turbulent stress tensor in large-eddy simulation. J. Fluid. Mech. 278, 351–364 (1994)
Cook, A.W., Riley, J.J.: A subgrid model for equilibrium chemistry in turbulent flows. Phys. Fluids 6, 2868–2870 (1994)
Wall, C., Boersma, B.J., Moin, P.: An evaluation of the assumed beta probability density function subgrid-scale model for large eddy simulation of nonpremixed turbulent combustion with heat release. Phys. Fluids 12, 2522–2529 (2000)
Vreman, A.W., Albrecht, B.A., van Oijen, J.A., de Goey, L.P.H., Bastiaans, R.J.M.: Premixed and non-premixed generated manifolds in large-eddy simulation of Sandia flame D and F. Combust. Flame 153, 394–416 (2008)
van der Burg, J.W.: Numerical techniques for transonic flow calculations. Ph.D. thesis, University of Twente (1993)
Wesseling, P.: An Introduction to Multigrid Methods. Wiley, New York (1992)
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Vreman, A.W., Bastiaans, R.J.M. & Geurts, B.J. A Similarity Subgrid Model for Premixed Turbulent Combustion. Flow Turbulence Combust 82, 233–248 (2009). https://doi.org/10.1007/s10494-008-9174-y
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DOI: https://doi.org/10.1007/s10494-008-9174-y