Lagrangian Transport in Geophysical Jets and Waves

Lagrangian Transport in Geophysical Jets and Waves
Title Lagrangian Transport in Geophysical Jets and Waves PDF eBook
Author Roger M. Samelson
Publisher Springer Science & Business Media
Pages 154
Release 2006-11-24
Genre Mathematics
ISBN 0387462139

Download Lagrangian Transport in Geophysical Jets and Waves Book in PDF, Epub and Kindle

Written jointly by a specialist in geophysical fluid dynamics and an applied mathematician, this is the first accessible introduction to a new set of methods for analysing Lagrangian motion in geophysical flows. The book opens by establishing context and fundamental mathematical concepts and definitions, exploring simple cases of steady flow, and touching on important topics from the classical theory of Hamiltonian systems. Subsequent chapters examine the elements and methods of Lagrangian transport analysis in time-dependent flows. The concluding chapter offers a brief survey of rapidly evolving research in geophysical fluid dynamics that makes use of this new approach.

Lagrangian Oceanography

Lagrangian Oceanography
Title Lagrangian Oceanography PDF eBook
Author Sergey V. Prants
Publisher Springer
Pages 285
Release 2017-03-27
Genre Science
ISBN 3319530224

Download Lagrangian Oceanography Book in PDF, Epub and Kindle

This book uses the Lagrangian approach, especially useful and convenient for studying large-scale transport and mixing in the ocean, to present a detailed view of ocean circulation. This approach focuses on simulations and on monitoring the trajectories of fluid particles, which are governed by advection equations. The first chapter of the book is devoted to dynamical systems theory methods, which provide the framework, methodology and key concepts for the Lagrangian approach. The book then moves on to an analysis of chaotic mixing and cross-stream transport in idealized models of oceanic meandering currents like the Gulfstream in the Atlantic, the Kuroshio in the Pacific, and Antarctic Circumpolar Current, after which the current state of physical oceanography is reviewed. The latter half of the book applies the techniques and methods already described in order to study eddies, currents, fronts and large-scale mixing and transport in the Far-Eastern seas and the north-western part of the Pacific Ocean. Finally, the book concludes with a discussion of Lagrangian simulation and monitoring of water contamination after the Fukushima disaster of 2011. The propagation of Fukushima-derived radionuclides, surface transport across the Kuroshio Extension current, and the role of mesoscale eddies in the transport of Fukushima-derived cesium isotopes in the ocean are examined, and a comparison of simulation results with actual measurements are presented.Written by some of the world leaders in the application of Lagrangian methods in oceanography, this title will be of benefit to the oceanographic community by presenting the necessary background of the Lagrangian approach in an accessible manner.

Barriers and Transport in Unsteady Flows

Barriers and Transport in Unsteady Flows
Title Barriers and Transport in Unsteady Flows PDF eBook
Author Sanjeeva Balasuriya
Publisher SIAM
Pages 276
Release 2016-12-08
Genre Mathematics
ISBN 1611974577

Download Barriers and Transport in Unsteady Flows Book in PDF, Epub and Kindle

?Fluids that mix at geophysical or microscales tend to form well-mixed areas and regions of coherent blobs. The Antarctic circumpolar vortex, which mostly retains its structure while moving unsteadily in the atmosphere, is an example of a coherent structure. How do such structures exchange fluid with their surroundings? What is the impact on global mixing? What is the "boundary" of the structure, and how does it move? Can these questions be answered from time-varying observational data?? This book addresses these issues from the perspective of the differential equations that must be obeyed by fluid particles. In these terms, identification of the boundaries of coherent structures (i.e., "flow barriers"), quantification of transport across them, control of the locations of these barriers, and optimization of transport across them are developed using a rigorous mathematical framework. The concepts are illustrated with an array of theoretical and applied examples that arise from oceanography and microfluidics.? Barriers and Transport in Unsteady Flows: A Melnikov Approach?provides an extensive introduction and bibliography, specifically elucidating the difficulties arising when flows are unsteady and highlighting relevance in geophysics and microfluidics; careful and rigorous development of the mathematical theory of unsteady flow barriers within the context of nonautonomous stable and unstable manifolds, richly complemented with examples; and chapters on exciting new research in the control of flow barriers and the optimization of transport across them.

Zonal Jets

Zonal Jets
Title Zonal Jets PDF eBook
Author Boris Galperin
Publisher Cambridge University Press
Pages 527
Release 2019-02-28
Genre Nature
ISBN 1107043883

Download Zonal Jets Book in PDF, Epub and Kindle

Presents a comprehensive, multidisciplinary volume on the physics of zonal jets, from the leading experts, for graduate students and researchers.

Geophysical Fluid Dynamics II

Geophysical Fluid Dynamics II
Title Geophysical Fluid Dynamics II PDF eBook
Author Emin Özsoy
Publisher Springer Nature
Pages 332
Release 2021-08-13
Genre Science
ISBN 3030749347

Download Geophysical Fluid Dynamics II Book in PDF, Epub and Kindle

This book develops a fundamental understanding of geophysical fluid dynamics based on a mathematical description of the flows of inhomogeneous fluids. It covers these topics: 1. development of the equations of motion for an inhomogeneous fluid 2. review of thermodynamics 3. thermodynamic and kinetic energy equations 4. equations of state for the atmosphere and the ocean, salt, and moisture effects 5. concepts of potential temperature and potential density 6. Boussinesq and quasi-geostrophic approximations 7. conservation equations for vorticity, mechanical and thermal energy instability theories, internal waves, mixing, convection, double-diffusion, stratified turbulence, fronts, intrusions, gravity currents Graduate students will be able to learn and apply the basic theory of geophysical fluid dynamics of inhomogeneous fluids on a rotating earth, including: 1. derivation of the governing equations for a stratified fluid starting from basic principles of physics 2. review of thermodynamics, equations of state, isothermal, adiabatic, isentropic changes 3. scaling of the equations, Boussinesq approximation, applied to the ocean and the atmosphere 4. examples of stratified flows at geophysical scales, steady and unsteady motions, inertia-gravity internal waves, quasi-geostrophic theory 5. vorticity and energy conservation in stratified fluids 6.boundary layer convection in stratified containers and basins

Computational Methods for the Atmosphere and the Oceans

Computational Methods for the Atmosphere and the Oceans
Title Computational Methods for the Atmosphere and the Oceans PDF eBook
Author Roger Temam
Publisher Elsevier
Pages 797
Release 2009-06-16
Genre Computers
ISBN 0080931030

Download Computational Methods for the Atmosphere and the Oceans Book in PDF, Epub and Kindle

This book provides a survey of the frontiers of research in the numerical modeling and mathematical analysis used in the study of the atmosphere and oceans. The details of the current practices in global atmospheric and ocean models, the assimilation of observational data into such models and the numerical techniques used in theoretical analysis of the atmosphere and ocean are among the topics covered.• Truly interdisciplinary: scientific interactions between specialties of atmospheric and ocean sciences and applied and computational mathematics • Uses the approach of computational mathematicians, applied and numerical analysts and the tools appropriate for unsolved problems in the atmospheric and oceanic sciences• Contributions uniquely address central problems and provide a survey of the frontier of research

Networks in Climate

Networks in Climate
Title Networks in Climate PDF eBook
Author Henk A. Dijkstra
Publisher Cambridge University Press
Pages 285
Release 2019-02-28
Genre Science
ISBN 110865777X

Download Networks in Climate Book in PDF, Epub and Kindle

Over the last two decades the complex network paradigm has proven to be a fruitful tool for the investigation of complex systems in many areas of science; for example, the Internet, neural networks and social networks. This book provides an overview of applications of network theory to climate variability, such as the El Niño/Southern Oscillation and the Indian Monsoon, presenting recent important results obtained with these techniques and showing their potential for further development and research. The book is aimed at researchers and graduate students in climate science. A basic background in physics and mathematics is required. Several of the methodologies presented here will also be valuable to a broader audience of those interested in network science, for example, from biomedicine, ecology and economics.