Abstract
This paper discusses three interrelated aspects of modeling scalar transport, mixing and combustion, in the context of large-eddy simulations (LES). In terms of passive scalar modeling, we find from heated wake measurements that whereas the kinetic energy dissipation tensor tends towards isotropy at small scales, in the presence of a mean scalar gradient the SGS scalar variance dissipation remains anisotropic independent of filter scale. The eddy-diffusion model predicts isotropic behavior, whereas the nonlinear model reproduces the correct trends, but overestimates the level of scalar dissipation anisotropy. The results provide some support for mixed models. Applications of dynamic models are also discussed. Initial tests on non-buoyant jet flows show that the constant-coefficient Smagorinsky model generates an entirely laminar jet, whereas the Lagrangian dynamic model yields very good results without the need to tune the model coefficient. In the context of applying the dynamic model to premixed combustion, or other physical processes with large scale-separations, we show that the dynamic determination of unknown scaling exponents is a more promising approach than dynamic evaluation of model coefficients.
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References
Bardina, J., Ferziger, J. H. and Reynolds, W. C. (1980) “Improved sub-grid scale models for large eddy simulation,” AIAA Pap. 25, 80–1357.
Baum, H., McGrattan, K. and Rehm, R. (1996) “Large eddy simulations of smoke movement in three dimensions,” Proceedings of the Thirteenth Meeting of the UJNR Panel on Fire Research and Safety edited by K. Beall, (NIST, Gaithersburg, MD), 249–256.
Borue, V. and Orszag, S. (1998) “Local energy flux and subgrid-scalestatistics in three-dimensional turbulence,” J. Fluid Mech. 366 1–31.
Cerutti, S. and Meneveau, C. (2000) “Statistics of filtered velocity in grid and wake turbulence,” Phys. Fluids 12 1143–1165.
Cerutti, S., Meneveau, C. and Knio O.M. (2000) “Spectral and hyper eddy viscosity in high-Reynolds-number turbulence,” J. Fluid Mech 421, 307–338.
Charlette, F., Meneveau, C. and Veynante, D. (2001a) “Flame-wrinkling model and application in thickened-flame LES of premixed turbulent combustion,” Comb. Flame (in preparation for submission).
Charlette, F., Meneveau, C. and Veynante, D. (2001b) “A power-law dynamic procedure for LES of turbulent premixed combustion,” Comb. Flame (in preparation for submission).
Clark, R. G., Ferziger, J. H. and Reynolds, W. C. (1979) “Evaluation of subgrid models using an accurately simulated turbulent flow,” J. Fluid Mech. 91, 1–16.
Colin, O, Ducros, F., Veynante, D. and Poinsot T. (2000) “A thickened flame model for large eddy simulations of turbulent premixed combustion,” Phys. Fluids 12, 1843–1863.
Germano, M., Piomelli, U. Moin, P. and Cabot, W. (1991) “A dynamic subgrid-scale eddy viscosity model,” Phys. Fluids A 3, 1760–1765.
Hussein, H. J., Capp, S. and George, W. K. (1994) “Velocity measurements in a high-Reynolds-number, momentum-conserving, axisymmetric, turbulent jet,” J. Fluid Mech. 258, 31–75.
Im, H. G., Lund, T. S. and Ferziger J. H. (1997) “Large eddy simulation of turbulent front propagation with dynamic subgrid models,” Phys. Fluids 9, 3826–3833.
Kang, H. S. and Meneveau, C. (2001) “Passive scalar anisotropy in a heated turbulent wake: new observations and implications for large-eddy simulations,” J. Fluid Mech. 442, 161–170.
Kiya, M. and Matsumura, M. (1988) “Incoherent turbulent structure in the near wake of a normal plate,” J. Fluid Mech. 190 343–356.
Leonard, A. (1974) “Energy cascade in large-eddy simulations of turbulent fluid flows,” Adv. Geophys 18 237–248.
Leonard, A. (1997) “Largeeddy simulation of chaotic convection and beyond,” Am. Inst. Aeronaut. Astronaut. Pap. 97–0204: 1–8.
Liu, S., Katz, J. and Meneveau, C. (1999) “Evolution and modelling of subgrid scales during rapid straining of turbulence,” J. Fluid Mech. 387, 281–320.
Liu, S., Meneveau, C. and Katz, J. (1994) “On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet,” J. Fluid Mech. 275, 83–119.
Matsumura, M. and Antonia, R. A. (1993) “Momentum and heat transport in the turbulent intermediate wake of a circular cylinder,” J. Fluid Mech. 250, 651–668.
McGrattan, K., Baum, H. and Rehm, R. (1998) “Large Eddy Simulations of Smoke Movement,” Fire Science Journal 30, 161–178.
Mell, W., Johnson, A., McGrattan, K. and Baum, H. (1995) “Large eddy simulations of buoyant plumes,” Proceedings, Eastern States Section of Combustion Institute, Fall Technical Meeting HTD 304, 187–190.
Mell, W., McGrattan, K. and Baum, H. (1995) “Large eddy simulations of fire driven flows,” National Heat Transfer Conference HTD 304, 73–77.
Meneveau, C. and Poinsot, T. (1991) “Stretching and quenching of flamelets in premixed turbulent combustion,” Comb. Flame 86, 311–332.
Meneveau, C. and Katz, J. (2000) “Scale-invariance and turbulence models for large-eddy simulation,“ Annu. Rev. Fluid Mech. 32 1–32.
Meneveau, C., Lund, T. and Cabot, W. (1996) “A Lagrangian dynamic subgrid-scale model of turbulence,” J. Fluid Mech. 319 353–386.
O’Neil, J. and Meneveau, C. (1997) “Subgrid-scale stresses and their modelling in a turbulent plane wake,” J. Fluid Mech. 349 253–293.
Peters (2000) ”Turbulent combustion,“ Cambridge University Press, Cambridge
Piomelli, U. and Zang, T. (1991) “Large-eddy-simulation of transitional channel flow,” Comp. Phys. Comm. 65–224.
Pope, S. B. (2000) “Turbulent flow,” Cambridge University Press, Cambridge.
Smagorinsky, J. (1963) “General circulation experiments with the primitive equations. i. The basic experiment,” Mon. Weather. Rev. 91–99.
Stoessel, A., (1995) “An efficient tool for the study of 3D turbulent combustion phenomena on MPP computers,” Proc. of the HPCN 95 Conference, Milan ( Italy ), Springer-Verlag, 306–311.
Warhaft, Z. (2000) “Passive scalars in turbulent flows,” Annu. Rev. Fluid Mech. 32, 203–240.
Wygnanski, I. and Fiedler, H. (1969) “Some measurements in the self-preserving jet,” J. Fluid Mech. 38, 577–612.
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Meneveau, C., Kang, H.S., Charlette, F., Averill, J., Knio, O., Veynante, D. (2002). Challenges in Modeling Scalars in Turbulence and LES. In: Pollard, A., Candel, S. (eds) IUTAM Symposium on Turbulent Mixing and Combustion. Fluid Mechanics and Its Applications, vol 70. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1998-8_15
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DOI: https://doi.org/10.1007/978-94-017-1998-8_15
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