Direct numerical simulations of the Navier-Stokes alpha model

Physica D: Nonlinear Phenomena

Volumn 133, Issue 1-4, 1999, Pages 66-83

  Chen, Shiyi ^a,b   Holm, Darryl D ^a   Margolin, Len G ^c   Zhang, Raoyang ^a,d  

^a CENTER FOR NONLINEAR STUDIES   (United States)

^b IBM T J WATSON RESEARCH CENTER   (United States)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

^d UNIVERSITY OF DELAWARE   (United States)

Author keywords

Direct numerical simulation; Navier Stokes alpha model

Indexed keywords

EID: 0041152039     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(99)00099-8     Document Type: Article

References (35)

1. Holm D.D., Marsden J.E., Ratiu T.S. Adv. in Math. 137:1998;1.
2. Holm D.D., Marsden J.E., Ratiu T.S. Phys. Rev. Lett. 80:1998;4173.
3. Camassa R., Holm D.D. Phys. Rev. Lett. 71:1993;1961.
4. D.D. Holm, S. Kouranbaeva, J.E. Marsden, T. Ratiu, S. Shkoller, Fields Inst. Comm., Arnold, vol. 2, Amer. Math. Soc., (Rhode Island) (1998), in press.
5. D.D. Holm, Physica D, in press.
6. Chen S., Foias C., Holm D.D., Olson E., Titi E.S., Wynne S. Phys. Rev. Lett. 81:1998;5338.
7. S. Chen, C. Foias, D.D. Holm, E. Olson, E.S. Titi, S. Wynne, Phys. Fluids, in press.
8. S. Chen, C. Foias, D.D. Holm, E. Olson, E.S. Titi, S. Wynne, Physica D, in press.
9. M.V. Zagarola, Ph.D. Thesis, Princeton University press, Princeton. NJ, 1996.
10. C. Foias, D.D. Holm, E.S. Titi, The 3D Viscous Camassa-Holm Equations: Their Relation to the Navier-Stokes Equations and Turbulence Theory, in preparation.
11. Dunn J.E., Fosdick R.L. Arch. Rat. Mech. Anal. 56:1974;191.
12. Cioranescu D., Girault V. C.R. Acad. Sc. Paris Série 1. 322:1996;1163.
13. Cioranescu D., Girault V. Int. J. Non-Lin. Mech. 32:1997;317.
14. Andrews D.G., McIntyre M.E. J. Fluid Mech. 89:1978;609.
15. Dunn J.E., Fosdick R.L. Arch. Rat. Mech. Anal. 56:1974;191.
16. Dunn J.E., Rajagopal K.R. Int. J. Engng. Sci. 33:1995;689.
17. Rivlin R.S. Q. Appl. Math. 15:1957;212.
18. Chorin A.J. Phys. Rev. Lett. 60:1988;1947.
19. Shin T.H., Zhu J., Lumley J.L. Comput. Methods Appl. Mech. Engng. 125:1995;287.
20. Yoshizawa A. Phys. Fluids. 27:1984;1377.
21. Rubinstein R., Barton J.M. Phys. Fluids A. 2:1990;1472.
22. J.O. Hinze, Turbulence, 2nd ed., McGraw-Hill, New York, 1975.
23. A.A. Townsend, The Structure of Turbulent Flows, Cambridge University Press, Cambridge, 1967.
24. J.L. Lumley, H. Tennekes, A First Course in Turbulence, MIT Press, Cambridge. MA, 1972.
25. W.C. Reynolds, Fundamentals of turbulence for turbulence modeling and simulation, in: Lecture Notes for Von Karman Institute, AGARD Lecture Note Series, NATO, New York, 1987, pp. 1-66.
26. U. Piomelli, Applications of large eddy simulations in engineering: an overview, in: B. Galperin, S.A. Orszag (Eds.), Large-eddy Simulation of Complex Engineering and Geophysical Flows, Cambridge Univercity Press, Cambridge, 1993.
27. Lesieur M., Métais O. Annual Rev. Fluid Mech. 28:1996;45.
28. Chen S.Y., Shan X. Comput. Phys. 6:1992;643.
29. Wang L.-P., Chen S., Brasseur J.G., Wyngaard J.C. J. Fluid Mech. 309:1996;113.
30. Borue V., Orszag S.A. Europhy. Lett. 29:1995;687.
31. Cao N., Chen S., She Z. Phys. Rev. Lett. 76:1996;3711.
32. N. Cao, S. Chen, G.D. Doolen, Statistics and structures of pressure in isotropic turbulence, Physics of Fluids, 1999, in press.
33. Ashurst W.T., Kerstein A.R., Kerr R.M., Gibson C.H. Phys. Fluids. 30:1987;2343.
34. Kolmogorov A.N. The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Dokl. Adad. Nauk SSSR. 30:1941;301.
35. Kolmogorov A.N. A refinement of previous hypotheses concering the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J. Fluid Mech. 13:1962;82.