Turbulence for (and by) amateurs

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dc.creatorBernard, Denis
dc.date2000-07-06
dc.date.accessioned2026-07-07T02:38:08Z
dc.date.available2026-07-07T02:38:08Z
dc.descriptionSeries 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.
dc.description37 pages, 6 figures, lecture notes
dc.identifierhttps://arxiv.org/abs/cond-mat/0007106
dc.identifierhttp://arxiv.org/abs/cond-mat/0007106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16561
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectChaotic Dynamics
dc.titleTurbulence for (and by) amateurs
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