Turbulence and the dynamics of coherent structures. I. Coherent structures
Tóm tắt
Từ khóa
Tài liệu tham khảo
G. I. Taylor, Statistical theory of turbulence, Pts. I–V, Proc. Roy. Soc. A 151, 421–478 (1938)
Guckenheimer, John, 1986, Strange attractors in fluids: another view, 15
J. L. Lumley, The structure of inhomogeneous turbulent flows, Atmospheric Turbulence and Radio Wave Propagation, A. M. Yaglom and V. I. Tatarski, eds., 166–178, Moskow: Nauka, 1967
J. L. Lumley, Coherent structures in turbulence, in Transition and Turbulence, R. E. Meyer, ed., 215–242, Academic Press, N. Y., 1981
P. Bakewell and J. L. Lumley, Viscous sublayer and adjacent wall region in turbulent pipe flow, Phys. Fluids 10, 1880–1889 (1967)
F. R. Payne and J. L. Lumley, Large eddy structure of the turbulent wake behind a circular cylinder, Phys. Fluids 10, S194–196 (1967)
M. N. Glauser, S. J. Lieb, and N. K. George, Coherent structure in the axisymmetric jet mixing layer, Proc. 5th Symp. Turb. Shear Flow, Cornell Univ., Springer-Verlag, N. Y., 1985
Ash, Robert B., 1975, Topics in stochastic processes
Fukunaga, Keinosuke, 1990, Introduction to statistical pattern recognition, 2
N. Ahmed and M. H. Goldstein, Orthogonal Transforms for Digital Signal Processing, Springer-Verlag, N. Y., 1975
Lumley, John L., 1970, Stochastic tools in turbulence
Schuster, Heinz Georg, 1988, Deterministic chaos, 2
Bergé, Pierre, 1986, Order within chaos
B. Malraison, P. Atten, P. Berge, and M. Dubois, Dimension d’attracteurs étranges: une détermination expérimentale au régime chaotique de deux systems convectifs, Comp. Ren. (Paris) C 297, 209– (1983)
Brandstäter, A., 1983, Low-dimensional chaos in a hydrodynamic system, Phys. Rev. Lett., 51, 1442, 10.1103/PhysRevLett.51.1442
K. R. Sreenivasan, Transition and turbulence in fluid flows and low dimensional chaos, in Frontiers in Fluid Mechanics, S. H. Davis and J. L. Lumley, eds., 41–67, Springer-Verlag, N. Y., 1985
Constantin, P., 1985, Determining modes and fractal dimension of turbulent flows, J. Fluid Mech., 150, 427, 10.1017/S0022112085000209
Sirovich, L., 1987, Coherent structures and chaos: a model problem, Phys. Lett. A, 120, 211, 10.1016/0375-9601(87)90209-X
Hinze, J. O., 1959, Turbulence: An introduction to its mechanism and theory
L. Sirovich and M. Kirby, Low-dimensional procedure for characterization of human faces, J. Opt. Soc. 4, no. 3 (1987)
L. Sirovich, M. Maxey, and H. Tarman, Eigenfunction analysis of turbulence correlations in thermal convection, Bull. Amer. Phys. Soc. 31, 1676 (1986)
Riesz, Frigyes, 1955, Functional analysis
O. A. Ladyshenskaya, The Mathematical Theory of Viscous Incompressible Flow, Gordon and Breach, N. Y., 1969
S. A. Orzag and G. S. Patterson, Numerical simulation of three-dimensional homogeneous isotropic turbulence, Phys. Rev. Letters 28, 76 (1972)
G. S. Patterson and S. A. Orzag, Spectral calculation of isotropic turbulence, Phys. Fluids 14, 2538 (1971)
D. Gottlieb and S. A. Orzag, Numerical Analysis of Spectral Methods: Theory and Applications, SIAM, Philadelphia, 1977
C. Canuto, M. Y. Hussaini, A. Quarderonic, and T. A. Zang, Spectral Methods in Fluid Dynamics, Springer-Verlag, N. Y., 1987
R. S. Rogallo and P. Moin, Numerical simulation of turbulent flows, Ann. Rev. Fluid Mech. 16, 99–127 (1984)
J. H. Curry, J. R. Herring, J. Loncaric, and S. A. Orzag, Order and disorder in two- and three-dimensional Bénard convection, J. Fluid Mech. 147, 1–38 (1984)
T. M. Eidson, M. Y. Hussaini, and T. A. Zang, Simulation of the turbulent Rayleigh-Bénard problem using a spectral/finite difference technique, ICASE Rep. 86–6 (1986)
S. A. Orzag and L. C. Kells, Transition to turbulence in plane Poiseuille and Couette flow, J. Fluid Mech. 96, 159–205 (1980)
J. W. Deardoff, A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers, J. Fluid Mech. 41, 453–480 (1970)