Physics – Condensed Matter
Scientific paper
2000-07-06
Physics
Condensed Matter
37 pages, 6 figures, lecture notes
Scientific paper
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.
No associations
LandOfFree
Turbulence for (and by) amateurs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Turbulence for (and by) amateurs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Turbulence for (and by) amateurs will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-17615