Turbulence for (and by) amateurs
Bernard, Denis
Original · EN
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.
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