## Intermittency in Turbulent FlowsJ. C. Vassilicos, Department of Applied Mathematics and Theoretical Physics J C Vassilicos The dynamics of many nonlinear systems gravitate around a few common central themes: intermittency, order/coherence and disorder. Intermittency may be the universal outcome of a large class of nonlinear systems, however the universality properties of specific nonlinear systems, remain open questions. This volume aims to capture and summarise recent developments, encourage cross-fertilization of ideas, lay out research directions for the future and provide an overview of our current understanding of the subject. |

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### Contents

III | 1 |

IV | 24 |

V | 44 |

VI | 64 |

VII | 77 |

VIII | 86 |

IX | 105 |

X | 118 |

XII | 168 |

XIII | 183 |

XIV | 193 |

XV | 213 |

XVI | 223 |

XVII | 243 |

XVIII | 262 |

XI | 136 |

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### Common terms and phrases

3D fractal grid advected analysis anomalous scaling average behaviour Benzi bifurcation bluff body boundary layer Busse cascade Chertkov coefficients coherent structures convection correlation corresponding defined diffusion dissipative range distance distribution dynamics eigenfunctions energy enstrophy estimate Euler equations Eulerian evolution experiment experimental Figure finite Fluid Mech fractal dimension fractal objects Frisch Gaussian heteroclinic heteroclinic cycle incompressible inertial range instability integral intermittency Isaac Newton Institute isotropic isotropic turbulence Kolmogorov Kraichnan Lagrangian trajectories length scales Lett longitudinal low-dimensional Lyapunov exponent magnetic field mean velocity measured Navier-Stokes equations nonlinear observed obtained passive scalar pdfs phase turbulence Phys plotted properties ratio Rayleigh-Benard convection Reynolds number rolls rotating scaling exponents self-similarity shear stress singularity small scales solutions spectrum Sreenivasan statistics streamwise structure functions tensor tetrad tion transverse Tsinober turbulent flows vector velocity differences velocity field velocity fluctuations velocity increments viscous vortex vortex tubes vorticity wall wavenumber x/Lf