A wavenumber partitioning scheme for two-dimensional statistical closures

Journal of Scientific Computing

Volumn 11, Issue 4, 1996, Pages 343-372

  Bowman, John C ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Inertial range; Statistical closure; Test field model; Two dimensional turbulence; Wavenumber partitioning

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; MATHEMATICAL MODELS; REYNOLDS NUMBER; SPECTRUM ANALYSIS; STATISTICAL METHODS; TURBULENT FLOW; VISCOSITY OF LIQUIDS;

KRAICHNAN'S LOGARITHMICALLY CORRECTED SCALING; LAPLACIAN VISCOSITY; TWO DIMENSIONAL STATISTICAL CLOSURES; WAVENUMBER PARTITIONING;

TURBULENCE;

EID: 0030380813     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02088952     Document Type: Article

References (29)

1. Bennett, A. F., and Haidvogel, D. B. (1983). Low-resolution numerical simulation of decaying two-dimensional turbulence. J. Atmos. Sci. 40, 738-748.
2. Benzi, R., Paladin, G., and Vulpiani, A. (1990). Power spectra in two-dimensional turbulence. Phys. Rev. A 42, 3654-3656.
3. Borue, V. (1993). Spectral exponents of enstrophy cascade in stationary two-dimensional homogeneous turbulence. Phys. Rev. Lett. 71, 3967-3970.
4. Bowman, J. C. (1992). Realizable Markovian Statistical Closures: General Theory and Application to Drift-Wave Turbulence. Ph.D. Thesis, Princeton University, Princeton, New Jersey.
5. Bowman, J. C. (1996). On inertial-range scaling laws. J. Fluid Mech. 306, 167-181.
6. Bowman, J. C., and Krommes, J. A. (1996). The realizable Markovian closure and realizable test-field model. II: Application to anisotropic drift-wave turbulence. Submitted to Phys. Plasmas.
7. Bowman, J. C., Krommes, J. A., and Ottaviani, M. (1993) The realizable Markovian closure. I: General theory, with application to three-wave dynamics. Phys. Fluids B 5, 3558-3589.
8. Brachet, M. E., Meneguzzi, M., Politano, H., and Sulem, P. L. (1988). The dynamics of freely decaying two-dimensional turbulence. J. Fluid Much. 194, 333-349.
9. Falkovich, G. and Lebedev, V. (1994). Universal direct cascade in two-dimensional turbulence. Phys. Rev. E 50, 3883-3899.
10. Herring, J. R. (1985). Comparison of direct numerical simulation of two-dimensional turbulence with two-point closure: the effects of intermittency. J. Fluid Mech. 153, 229-242.
11. Hu, G., Krommes, J. A., and Bowman, J. C. (1995). Resistive drift-wave plasma turbulence and the realizable Markovian closure. Phys. Lett. A 202, 117-125.
12. Hu, G., Krommes, J. A., and Bowman, J. C. (1996). Statistical theory of resistive drift-wave turbulence and transport. Submitted to Phys. Plasmas.
13. Kraichnan, R. H. (1958). Irreversible statistical mechanics of incompressible hydromagnetic turbulence. Phys. Rev. 109, 1407-1422.
14. Kraichnan, R. H. (1959). The structure of isotropic turbulence at very high Reynolds numbers. J. Fluid Mech. 5, 497-543.
15. Kraichnan, R. H. (1961). Dynamics of nonlinear stochastic systems. J. Math. Phys. 2, 124-148.
16. Kraichnan, R. H. (1964). Decay of isotropic turbulence in the direct-interaction approximation. Phys. Fluids 7, 1030-1047.
17. Kraichnan, R. H. (1967). Inertial ranges in two-dimensional turbulence. Phys. Fluids 10, 1417-1423.
18. Kraichnan, R. H. (1971). An almost-Markovian Galilean-invariant turbulence model. J. Fluid Mech. 47, 513-524.
19. Krommes, J. A., and Bowman, J. C. (1988). DIA: A code to solve the anisotropic direct-interaction approximation. Bull. Am. Phys. Soc. 33, 2022.
20. Krommes, J. A. (1984). Topics in the theory of statistical closure approximations for plasma physics. In Statistical Physics and Chaos in Fusion Plasmas. Horton, C. W., and Reichl, L. E. (eds.) Wiley, New York, pp. 241-252.
21. Legras, B., Santangelo, P., and Benzi, R. (1988). High-resolution numerical experiments for forced two-dimensional turbulence. Europhys, Lett. 5, 37-42.
22. Leith, C. E. (1971). Atmospheric predictability and two-dimensional turbulence. J. Atmos. Sci. 28, 145-161.
23. Leith, C. E., and Kraichnan, R. H. (1972). Predictability of turbulent flows. J. Atmos. Sci. 29, 1041-1058.
24. McWilliams, J. C. (1984). The emergence of isolated coherent vortices in turbulent flow. J. Fluid Mech. 146, 21-43.
25. Nezlin, M. V., Rylov, A. Y., Trubnikov, A. S., and Khuthoretskii, A. V. (1990). Cyclonic-anticyclonic asymmetry and a new soliton concept for Rossby vortices in the laboratory, oceans and the atmospheres of giant planets. Geophy. Astrophys. Fluid Dynamics 52, 211-247.
26. Orszag, S. A. (1970). Analytical theories of turbulence. J. Fluid Mech. 41, 363-386.
27. Orszag, S. A. (1977). Lectures on the statistical theory of turbulence. In Fluid Dynamics, Balian, R., and Peube, J.-L. (eds.) pp. 236-373. Gordon and Breach, London (summer school lectures given at Grenoble University, 1973).
28. Pouquet, A., Lesieur, M., André, J. C., and Basdevant, C. (1975). Evolution of high Reynolds number two-dimensional turbulence. J. Fluid Mech. 72, 305-319.
29. Santangelo, P., Benzi, R., and Legras, B. (1989). The generation of vortices in high-resolution, two-dimensional decaying turbulence and the influence of initial conditions on the breaking of self-similarity. Phys. Fluids A 1, 1027-1034.