Large reynolds number turbulence modeling with vorticity confinement

Collection of Technical Papers - 18th AIAA Computational Fluid Dynamics Conference

Volumn 1, Issue , 2007, Pages 639-652

  Lynn, Nicholas F ^a,b,c   Steinhoff, John ^a,b,c  

^a UNIVERSITY OF TENNESSEE SPACE INSTITUTE   (United States)

^b AIAA ^*

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; FLOW FIELDS; REYNOLDS NUMBER; TURBULENCE MODELS; VORTICITY;

SUB-GRID SCALE (SGS); VORTICITY CONFINEMENT;

TURBULENT FLOW;

EID: 35648981814     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2007-3965     Document Type: Conference Paper

References (25)

1. Hussain, A. K. M. F., "Coherent structures and turbulence," J. Fluid Mech., Vol. 173, 1986, pp. 303-356.
2. Wenren, Y., Fan, M., Wang, L., Xiao, M., and Steinhoff, J., "Application of Vorticity Confinement to the Prediction of Flow over Complex Bodies," AIAA J., Vol. 41, No. 5, 2003, pp. 809-816.
3. Steinhoff, J., Fan, M., and Wang, L., "Convection of Concentrated Vortices and Passive Scalars as Solitary Waves," J. Sci. Comp., Vol. 19, 2003, pp. 457-478.
4. Steinhoff, J. and Underhill, D., "Modification of the Euler Equations for "Vorticity Confinement": Application to the Compuation of Interacting Vortex Rings," Phys. Fluids, Vol. 6, No. 8, 1994, pp. 2738-44.
5. Smagorinsky, J., "General Circulation Experiments with the Primitive Equations I," Mon. Weather Review, Vol. 91, 1963, pp. 99-165.
6. Deardorff, J. W., "A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers," J. Fluid Mech., Vol. 41, 1970, pp. 453-380.
7. Leith, C. E., "Stochastic backscatter in a subgrid-scale model: Plane shear mixing layer," Phys. Fluids, Vol. 2, No. 3, March 1990, pp. 297-299.
8. Fan, M., Wenren, Y., Dietz, W., Xiao, M., and Steinhoff, J., "Computing Blunt Body Flows on Coarse Grids Using Vorticity Confinement," J. Fluids Eng, Vol. 124, No. 4, 2002, pp. 876-885.
9. Fan, M. and Steinhoff, .J., "Computation of Blunt Body Wake Flow by Vorticity Confinement," AIAA-2004-0592, 2004.
10. Steinhoff, J. and Lynn, N., Treatment of Vortical Flow Using Vorticity Confinement, chap. 10, World Scientific, 2005, pp. 199-237.
11. Criminale, W. O., Jackson, T. L., and Joslin, R. D., Theory and Computation of Hydrodynamic Stability, Cambridge University Press, New York, 2003.
12. Fedkiw, R., Stam, J., and Jensen, H. W., "Visualizations of Smoke," Proceedings of SIGGRAPH 2001, Los Angles.
13. Kim, J. and Moin, P., "Application of a Fractional-step Method to Incompressible Navier-Stokes Equations," J. Comp. Phys., Vol. 59, 1985, pp. 308-323.
14. Brachet, M. E., Meiron, D. I., Orszag, S. A., Nickel, B. G., Morf, R. H., and Frisch, U., "Small-scale structure of the Taylor-Green vortex," J. Fluid Mech., Vol. 130, 1983, pp. 411-452.
15. Taylor, G. I. and Green, A. E., "Mechanism of the production of small eddies from larger ones," Proc R Soc London Ser A, Vol. 158, 1937, pp. 499-521.
16. Goldstein, S., "Three-dimensional Vortex Motion in a Viscous Fluid," Philos. Mag., Vol. 30, 1940, pp. 85-102.
17. Deissler, R. G., "Nonlinear Decay of a Disturbance in an Unbounded Viscous Fluid," Tech. rep., NASA TN D-4947, 1968.
18. Orszag, S. A., "Numerical Simulation of the Taylor-Green Vortex," Proceedings of the International Symposium on Computing Methods in Applied Sciences and Engineering, Springer-Verlag, 1973, pp. 50-64.
19. van Dyke, M., "Computer Extension of Perturbation Series in Fluid Mechanics," SIAM Journal of Applied Mathematics, Vol. 28, No. 3, 1975, pp. 720-734.
20. Morf, R. H., Orszag, S. A., and Frisch, U., "Spontaneous Singularity in Three-Dimensional, Inviscid, Incompressible Flow," Physical Review Letters, Vol. 44, No. 9, 1980, pp. 572-575.
21. Don, W., Gottlieb, D., Shu, C., Schilling, O., and Jameson, L., "Numerical Convergence Study of Nearly-Incompressible, Inviscid Taylor-Green Vortex Flow," Journal of Scientific Computing, Vol. 24, No. 1, 2005, pp. 1-27.
22. Jiménez, J., Wray, A. A., Saffman, P. G., and Rogallo, R. S., "The structure of intense vorticity in isotropic turbulence," J. Fluid Mech., Vol. 255, 1993, pp. 65-90.
23. Vincent, A. and Meneguzzi, M., "The spatial structure and statistical properties of homogeneous turbulence," J. Fluid Mech., Vol. 225, 1991, pp. 1-20.
24. Vincent, A. and Meneguzzi, M., "The dynamics of vorticity tubes in homogeneous turbulence," J. Fluid Mech., Vol. 258, 1994, pp. 245-254.
25. Kerr, R. M., "Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence," J. Fluid Mech., Vol. 153, 1985, pp. 31-58.