Computing the Karhunen―Loève dimension of an extensively chaotic flow field given a finite amount of data
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[1] K. Ball,et al. The effect of spanwise wall oscillation on turbulent pipe flow structures resulting in drag reduction , 2007 .
[2] Lawrence Sirovich,et al. Dynamical eigenfunction decomposition of turbulent channel flow , 1991 .
[3] L. Sirovich. Chaotic dynamics of coherent structures , 1989 .
[4] Paul Fischer,et al. An Overlapping Schwarz Method for Spectral Element Solution of the Incompressible Navier-Stokes Equations , 1997 .
[5] M C Cross,et al. Extensive chaos in Rayleigh-Bénard convection. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[6] L. Sirovich,et al. Reply to ‘‘Observations regarding ‘Coherence and chaos in a model of turbulent boundary layer’ by X. Zhou and L. Sirovich [Phys. Fluids A 4, 2855 (1992)]’’ , 1994 .
[7] Ilarion V. Melnikov,et al. Mechanisms of extensive spatiotemporal chaos in Rayleigh–Bénard convection , 2000, Nature.
[8] Lawrence Sirovich,et al. Coherence and chaos in a model of turbulent boundary layer , 1992 .
[9] Robert A. Handler,et al. Karhunen–Loeve representations of turbulent channel flows using the method of snapshots , 2006 .
[10] D. Ruelle,et al. Ergodic theory of chaos and strange attractors , 1985 .
[11] L. Sirovich. Turbulence and the dynamics of coherent structures. II. Symmetries and transformations , 1987 .
[12] Paul Fischer,et al. Pattern formation and dynamics in Rayleigh-Benard convection : numerical simulations of experimentally realistic geometries. , 2002, nlin/0210066.
[13] M. Cross,et al. Pattern formation outside of equilibrium , 1993 .
[14] J. Yorke,et al. Dimension of chaotic attractors , 1982 .
[15] Power-law behavior of power spectra in low Prandtl number Rayleigh-Bénard convection. , 2001, Physical review letters.
[16] Earl H. Dowell,et al. Reduced-order models of unsteady viscous flows in turbomachinery using viscous-inviscid coupling , 2001 .
[17] G. Ahlers,et al. Low-Temperature Studies of the Rayieigh-Bénard Instability and Turbulence , 1974 .
[18] Department of Physics,et al. Extensive scaling and nonuniformity of the Karhunen-Loève decomposition for the spiral-defect chaos state , 1998, chao-dyn/9808006.
[19] L. Sirovich,et al. Plane waves and structures in turbulent channel flow , 1990 .
[20] K. Ball,et al. Structure and dynamics of low Reynolds number turbulent pipe flow , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[21] H.M. Tufo,et al. Terascale Spectral Element Algorithms and Implementations , 1999, ACM/IEEE SC 1999 Conference (SC'99).
[22] A. Wolf,et al. Determining Lyapunov exponents from a time series , 1985 .
[23] Morris,et al. Spiral defect chaos in large aspect ratio Rayleigh-Bénard convection. , 1993, Physical review letters.
[24] J. Maurer,et al. Local probe in a Rayleigh-Benard experiment in liquid helium , 1978 .
[25] L. Sirovich. Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .
[26] Robert A. Handler,et al. Viscoelastic effects on higher order statistics and on coherent structures in turbulent channel flow , 2005 .
[27] K. S. Ball,et al. Dynamical eigenfunction decomposition of turbulent channel flow , 1991, physics/0608257.
[28] L Sirovich,et al. Low-dimensional procedure for the characterization of human faces. , 1987, Journal of the Optical Society of America. A, Optics and image science.
[29] L. Sirovich. Turbulence and the dynamics of coherent structures. III. Dynamics and scaling , 1987 .
[30] Transition to turbulence of convective flows in a cylindrical container , 1988 .
[31] Robert A. Handler,et al. Energy dynamics in a turbulent channel flow using the Karhunen‐Loéve approach , 2002 .
[32] Eberhard Bodenschatz,et al. Recent Developments in Rayleigh-Bénard Convection , 2000 .
[33] Henry S. Greenside,et al. KARHUNEN-LOEVE DECOMPOSITION OF EXTENSIVE CHAOS , 1996, chao-dyn/9610007.
[34] Wei Shyy,et al. Membrane wing aerodynamics for micro air vehicles , 2003 .
[35] Lawrence Sirovich,et al. Propagating Structures in Wall-Bounded Turbulent Flows , 1991 .
[36] P. Fischer,et al. PARALLEL SIMULATION OF VISCOUS INCOMPRESSIBLE FLOWS , 1994 .
[37] Lawrence Sirovich,et al. A computational study of Rayleigh–Bénard convection. Part 2. Dimension considerations , 1991, Journal of Fluid Mechanics.