Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지

On the Large Eddy Simulation of Scalar Transport with Prandtl Number up to 10 Using Dynamic Mixed Model

  • Na Yang (CAESIT, Department of Mechanical Engineering, College of Engineering, Konkuk University)
  • Published : 2005.03.01
Download PDF
⟨ Previous Next ⟩

Abstract

The dynamic mixed model (DMM) combined with a box filter of Zang et. al. (1993) has been generalized for passive scalar transport and applied to large eddy simulation of turbulent channel flows with Prandtl number up to 10. Results from a priori test showed that DMM is capable of predicting both subgrid-scale (SGS) scalar flux and dissipation rather accurately for the Prandtl numbers considered. This would suggest that the favorable feature of DMM, originally developed for the velocity field, works equally well for scalar transport problem. The validity of the DMM has also been tested a posteriori. The results of the large eddy simulation showed that DMM is superior to the dynamic Smagorinsky model in the prediction of scalar field and the model performance of DMM depends to a lesser degree on the ratio of test to grid filter widths, unlike in the a priori test.

Keywords

References

  1. Bardina, J., Ferziger, J. H. and Reynolds, W. C., 1983, 'Improved Turbulence Models Based on Large Eddy Simulation of Homogeneous, Incompressible, Turbulent Flows,' Ph. D. dissertation, Dept. of Mechanical Engineering, stanford Utriversity
  2. Calmet, I. and Magnaudet, J., 1997, 'Large-eddy simulation of High-Schmidt Number Mass Transfer in a Turbulent Channel,' Phys. Fluids 9, Vol. 2, pp. 438~455 https://doi.org/10.1063/1.869138
  3. Germano, M., Piomelli, U., Moin, P. and Cabot, W. H., 1991, 'A Dynamic Subgris- scale Eddy Viscosity Model,' Phys. Fluids, A 3, Vol. 7, pp. 1760-1765 https://doi.org/10.1063/1.857955
  4. Leonard. B. P.. 1979. 'A Stable and Accurate Convective Modeling Procedure Based on Quadratic Upstream Interpolation,' Comput. Methode Appl. Mech. Eng., Vol. 19, pp. 59-98 https://doi.org/10.1016/0045-7825(79)90034-3
  5. Kang, S., 2000, 'On Subgrid-Scale Models for Large Eddy Simulation of Turbulent Flows,' Transactions of the KSME (B), Vol. 24, No. 11, pp. 1523-1534 https://doi.org/10.1038/sj.ijo.0801408
  6. Liny, D. K., 1992, 'A Proposed Modification of the Germano Subgrid-scale Closure Method,' Phys. Fluids, A4, pp. 633-635 https://doi.org/10.1063/1.858280
  7. Na, Y., Papavassihou, D. V. and Hanratty, T. J,, 1999, 'Use of Direct Numerical Simulation to Study the Effect of Prandtl Number on Temperature Fields,' Int. J. Heat Fluid Flow, Vol. 20, pp. 187-195 https://doi.org/10.1016/S0142-727X(99)00008-9
  8. Na, Y. and Hanratty, T. J., 2000, 'Limiting Behavior of Turbulent Scalar Transport Close to a Wall,' Int. J. Heat Mass Transfer, Vol. 43, pp. 1749-1758 https://doi.org/10.1016/S0017-9310(99)00258-6
  9. Na, Y, 2004, 'On the Large Eddy Simulation of High Prandtl Number Scalar Transport Using Dynamic Subgrid-Scale Model,' KSME Int. J., Vol, 18, No. 1, pp. 173-182
  10. Zang, W., Street, R. L. and Koseff, J. R., 1993, 'A Dynamic Mixed subgrid. scale Model and its Application to Turbulent Recirculating Flows,' Phys. Fluids，A 5, Vol. 12, pp. 3186-3196 https://doi.org/10.1063/1.858675