Turbulence for (and By) Amateurs
نویسنده
چکیده
4. Series of lectures on statistical turbulence written for amateurs but not experts. Elementary aspects and problems of turbulence in two and three dimensional Navier-Stokes equation are introduced. A few properties of scalar turbulence and transport phenomena in turbulent flows are described. Kraichnan’s model of passive advection is discussed a bit more precisely. Part 1: Approaching turbulent flows. Navier-Stokes equation. Cascades and Kolmogorov theory. Modeling statistical turbulence. Correlation functions and scaling. Part 2: Deeper in turbulent flows. Turbulence in two dimensions. Dissipation and dissipative anomalies. Fokker-Planck equations. Multifractal models. Part 3: Scalar turbulence. Transport and Lagrangian trajectories. Kraichnan’s passive scalar model. Anomalous scalings and universality. Part 4: Lagrangian trajectories. Richardson’s law. Lagrangian flows in Kraichnan’s model. Slow modes. Breakdown of Lagrangian flows. Batchelor limit. Generalized Lagrangian flows and trajectory bundles. Part 5: Burgers turbulence. Shocks. Bifractality. Member of the CNRS; [email protected] Laboratoire de la Direction des Sciences de la Matière du Commisariat à l’Energie Atomique. Series of lectures presented at Sète and Saclay during the summer 2000.
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