Numerical errors in the computation of subfilter scalar variance in large eddy simulations

Physics of Fluids

Volumn 21, Issue 5, 2009, Pages

  Kaul, Colleen M ^a   Raman, V ^a   Balarac, G ^b,c   Pitsch, H ^b  

^a The University of Texas at Austin   (United States)

^b STANFORD UNIVERSITY   (United States)

^c LEGI   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; ERRORS; FINITE DIFFERENCE METHOD; KINETIC ENERGY; KINETICS; NUMERICAL METHODS; NUMERICAL MODELS;

ALGEBRAIC EQUATIONS; DISCRETE APPROXIMATION; GENERAL METHODOLOGIES; HOMOGENEOUS TURBULENCE; MODEL COEFFICIENT; MODEL FORMULATION; NUMERICAL ERRORS; TRANSPORT EQUATION;

LARGE EDDY SIMULATION;

EID: 66849122536     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3123531     Document Type: Article

References (22)

1. N. Peters, Turbulent Combustion (Cambridge University Press, Cambridge, 2000).
2. H. Pitsch, "Large-eddy simulation of turbulent combustion," Annu. Rev. Fluid Mech. ARVFA30066-4189 38, 453 (2006). 10.1146/ annurev.fluid.38.050304.092133
3. J. Jimenez, A. Linan, M. M. Rogers, and F. J. Higuera, "A priori testing of subgrid models for chemically reacting non-premixed flows," J. Fluid Mech. JFLSA70022-1120 349, 149 (1997). 10.1017/ S0022112097006733
4. A. W. Cook and J. J. Riley, "A subgrid model for equilibrium chemistry in turbulent flows," Phys. Fluids PHFLE61070-6631 6, 2868 (1994). 10.1063/1.868111
5. C. Jimenez, F. Ducros, B. Cuenot, and B. Bedat, "Subgrid scale variance and dissipation of a scalar field in large eddy simulations," Phys. Fluids PHFLE61070-6631 13, 1748 (2001). 10.1063/ 1.1366668
6. C. D. Pierce and P. Moin, "A dynamic model for subgrid-scale variance and dissipation rate of a conserved scalar," Phys. Fluids PHFLE61070-6631 10, 3041 (1998). 10.1063/1.869832
7. G. Balarac, H. Pitsch, and V. Raman, "Development of a dynamic model for the subfilter scalar variance using the concept of optimal estimators," Phys. Fluids PHFLE61070-6631 20, 035114 (2008). 10.1063/1.2896287
8. C. Wall, B. J. Boersma, and P. Moin, "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 PHFLE61070-6631 12, 2522 (2000). 10.1063/1.1287911
9. S. Ghosal, "An analysis of numerical errors in large-eddy simulations of turbulence," J. Comput. Phys. JCTPAH0021-9991 125, 187 (1996). 10.1006/jcph.1996.0088
10. J. A. Langford and R. D. Moser, "Optimal LES formulations for isotropic turbulence," J. Fluid Mech. JFLSA70022-1120 398, 321 (1999). 10.1017/S0022112099006369
11. S. B. Pope, "Ten questions concerning the large-eddy simulation of turbulent flows," New J. Phys.NJOPFM1367-2630 6, 35 (2004).10.1088/ 1367-2630/6/1/035
12. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
13. 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 PHFLE61070-6631 10, 499 (1998). 10.1063/ 1.869537
14. F. A. Jaberi, P. J. Colucci, S. James, P. Givi, and S. B. Pope, "Filtered mass density function for large-eddy simulation of turbulent reacting flows," J. Fluid Mech. JFLSA70022-1120 401, 85 (1999). 10.1017/S0022112099006643
15. V. Raman and H. Pitsch, "A consistent LES/filtered-density function formulation for the simulation of turbulent flames with detailed chemistry," Proc. Combust. Inst. PCIRC21540-7489 31, 1711 (2007). 10.1016/j.proci.2006.07.152
16. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, "A dynamic subgrid-scale eddy viscosity model," Phys. Fluids A PFADEB0899-8213 3, 1760 (1991). 10.1063/1.857955
17. S. S. Girimaji and Y. Zhou, "Analysis and modeling of subgrid scalar mixing using numerical data," Phys. Fluids PHFLE61070-6631 8, 1224 (1996). 10.1063/1.868894
18. P. Moin, Fundamentals of Engineering Numerical Analysis (Cambridge University Press, Cambridge, 2000).
19. A. G. Kravchenko and P. Moin, "On the effect of numerical errors in large eddy simulations of turbulent flows," J. Comput. Phys. JCTPAH0021-9991 131, 310 (1997). 10.1006/jcph.1996.5597
20. K. Alvelius, "Random forcing of three-dimensional homogeneous turbulence," Phys. Fluids PHFLE61070-6631 11, 1880 (1999). 10.1063/ 1.870050
21. V. Eswaran and S. B. Pope, "Direct numerical simulations of the turbulent mixing of a passive scalar," Phys. FluidsPFLDAS0031-9171 31, 506 (1988).10.1063/1.866832
22. C. D. Pierce and P. Moin, "Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion," J. Fluid Mech. JFLSA70022-1120 504, 73 (2004). 10.1017/S0022112004008213