Transport And Mixing In Geophysical Flows

by Weiss, J. B.; Provenzale, A.

• ISBN13: 9783540752141
• ISBN10: 3540752145
• Format: Hardcover
• Copyright: 2008-02-03
• Publisher: Springer Verlag

Summary

This volume collects a number of theoretical and experimental lectures on various aspects of transport and mixing of active and passive particles in geophysical flows.

Table of Contents

Theory
Scalar Decay in Chaotic Mixing	p. 3
Introduction	p. 3
Advection and Diffusion in a Linear Velocity Field	p. 6
Random Strain Models	p. 18
Practical Considerations	p. 24
References	p. 33
Transport of Inert and Reactive Particles: Lagrangian Statistics in Turbulent Flow	p. 37
Introduction	p. 37
Transport of Inert Substances	p. 40
Transport of Reacting Substances	p. 59
References	p. 69
Diffusion and Reaction-Diffusion in Steady Flows at Large Peclet Numbers	p. 71
Introduction	p. 71
Effective Diffusion in a Fast Cellular Flow	p. 72
Reaction-Diffusion in Fast Cellular Flows	p. 74
Summary and Conclusion	p. 83
References	p. 84
An Introduction to Radiative Transfer for Geophysicists	p. 85
Introduction	p. 85
Some Definitions	p. 87
The Transfer Equation	p. 88
Equations of the Radiative Fluid	p. 92
The Stationary State	p. 95
The Radiative Heat Equation	p. 97
References	p. 100
Coherent Vortices and Tracer Transport	p. 101
Coherent Vortices and Background Turbulence	p. 101
Dynamics of Lagrangian Tracers	p. 103
Lagrangian Dispersion in Vortex-Dominated Flows	p. 105
Dynamics of Passive and Active Tracers	p. 110
Conclusions	p. 112
References	p. 112
Experiments and Observations
Dispersion and Mixing in Quasi-two-dimensional Rotating Flows	p. 119
Introduction	p. 119
Passive Scalar Dispersion in 2D Turbulence	p. 121
Laboratory Experiments of Quasi-2D Turbulence	p. 122
Laboratory Results	p. 127
Conclusion	p. 134
References	p. 135
Quantifying Inhomogeneous, Instantaneous, Irreversible Transport Using Passive Tracer Field as a Coordinate	p. 137
Introduction	p. 137
Effective Diffusivity	p. 142
Direction of Transport	p. 149
Relationship to Eulerian Eddy Diffusivity	p. 153
Summary and Discussion	p. 156
References	p. 162
Lagrangian Statistics from Oceanic and Atmospheric Observations	p. 165
Introduction	p. 165
Single-Particle Statistics	p. 171
Multiple Particles	p. 190
Summary and Conclusions	p. 213
References	p. 214
The Modulation of Biological Production by Oceanic Mesoscale Turbulence	p. 219
Introduction	p. 219
Generalities	p. 222
Modelization of Bio-physical Interactions	p. 228
Transport by Mesoscale Eddies	p. 230
Transport by Submesoscale Dynamics	p. 234
Biophysical Interactions Through Stratification Changes	p. 243
Conclusions	p. 247
References	p. 250
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