Variational Formulation Of Fluid And Geophysical Fluid Dynamics
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Variational Formulation Of Fluid And Geophysical Fluid Dynamics
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Author : Gualtiero Badin
language : en
Publisher: Springer
Release Date : 2017-08-29
Variational Formulation Of Fluid And Geophysical Fluid Dynamics written by Gualtiero Badin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-29 with Science categories.
This book describes the derivation of the equations of motion of fluids as well as the dynamics of ocean and atmospheric currents on both large and small scales through the use of variational methods. In this way the equations of Fluid and Geophysical Fluid Dynamics are re-derived making use of a unifying principle, that is Hamilton’s Principle of Least Action. The equations are analyzed within the framework of Lagrangian and Hamiltonian mechanics for continuous systems. The analysis of the equations’ symmetries and the resulting conservation laws, from Noether’s Theorem, represent the core of the description. Central to this work is the analysis of particle relabeling symmetry, which is unique for fluid dynamics and results in the conservation of potential vorticity. Different special approximations and relations, ranging from the semi-geostrophic approximation to the conservation of wave activity, are derived and analyzed. Thanks to a complete derivation of all relationships, this book is accessible for students at both undergraduate and graduate levels, as well for researchers. Students of theoretical physics and applied mathematics will recognize the existence of theoretical challenges behind the applied field of Geophysical Fluid Dynamics, while students of applied physics, meteorology and oceanography will be able to find and appreciate the fundamental relationships behind equations in this field.
Variational Formulation Of Fluid And Geophysical Fluid Dynamics
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Author : Gualtiero Badin
language : en
Publisher:
Release Date : 2018
Variational Formulation Of Fluid And Geophysical Fluid Dynamics written by Gualtiero Badin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Fluid dynamics categories.
Geophysical Fluid Dynamics I
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Author : Emin Özsoy
language : en
Publisher: Springer Nature
Release Date : 2020-01-16
Geophysical Fluid Dynamics I written by Emin Özsoy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-16 with Science categories.
This textbook develops a fundamental understanding of geophysical fluid dynamics by providing a mathematical description of fluid properties, kinematics and dynamics as influenced by earth’s rotation. Its didactic value is based on elaborate treatment of basic principles, derived equations, exemplary solutions and their interpretation. Both starting graduate students and experienced scientists can closely follow the mathematical development of the basic theory applied to the flow of uniform density fluids on a rotating earth, with (1) basic physics introducing the "novel" effects of rotation for flows on planetary scales, (2) simplified dynamics of shallow water and quasi-geostrophic theories applied to a variety of steady, unsteady flows and geophysical wave motions, demonstrating the restoring effects of Coriolis acceleration, earth’s curvature (beta) and topographic steering, (3) conservation of vorticity and energy at geophysical scales, and (4) specific applications to help demonstrate the ability to create and solve new problems in this very rich field. A comprehensive review of the complex geophysical flows of the ocean and the atmosphere is closely knitted with this basic description, intended to be developed further in the second volume that addresses density stratified geophysical fluid dynamics.
Geophysical Fluid Dynamics Ii
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Author : Emin Özsoy
language : en
Publisher: Springer Nature
Release Date : 2021-08-13
Geophysical Fluid Dynamics Ii written by Emin Özsoy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-13 with Science categories.
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
Mechanics Of Fluids
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Author : Joseph M. Powers
language : en
Publisher: Cambridge University Press
Release Date : 2023-06-29
Mechanics Of Fluids written by Joseph M. Powers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-29 with Science categories.
An accessible, rigorous introduction to fluid mechanics, with a robust emphasis on theoretical foundations and mathematical exposition.
Energy Transfers In Atmosphere And Ocean
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Author : Carsten Eden
language : en
Publisher: Springer
Release Date : 2019-01-23
Energy Transfers In Atmosphere And Ocean written by Carsten Eden and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-23 with Mathematics categories.
This book describes a recent effort combining interdisciplinary expertise within the Collaborative Research Centre “Energy transfers in atmosphere and ocean” (TRR-181), which was funded by the German Research Foundation (DFG). Energy transfers between the three dynamical regimes – small-scale turbulence, internal gravity waves and geostrophically balanced motion – are fundamental to the energy cycle of both the atmosphere and the ocean. Nonetheless, they remain poorly understood and quantified, and have yet to be adequately represented in today’s climate models. Since interactions between the dynamical regimes ultimately link the smallest scales to the largest ones through a range of complex processes, understanding these interactions is essential to constructing atmosphere and ocean models and to predicting the future climate. To this end, TRR 181 combines expertise in applied mathematics, meteorology, and physical oceanography. This book provides an overview of representative specific topics addressed by TRR 181, ranging from - a review of a coherent hierarchy of models using consistent scaling and approximations, and revealing the underlying Hamiltonian structure - a systematic derivation and implementation of stochastic and backscatter parameterisations - an exploration of the dissipation of large-scale mean or eddying balanced flow and ocean eddy parameterisations; and - a study on gravity wave breaking and mixing, the interaction of waves with the mean flow and stratification, wave-wave interactions and gravity wave parameterisations to topics of a more numerical nature such as the spurious mixing and dissipation of advection schemes, and direct numerical simulations of surface waves at the air-sea interface. In TRR 181, the process-oriented topics presented here are complemented by an operationally oriented synthesis focusing on two climate models currently being developed in Germany. In this way, the goal of TRR 181 is to help reduce the biases in and increase the accuracy of atmosphere and ocean models, and ultimately to improve climate models and climate predictions.
Geometric Science Of Information
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Author : Frank Nielsen
language : en
Publisher: Springer
Release Date : 2019-08-19
Geometric Science Of Information written by Frank Nielsen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-19 with Computers categories.
This book constitutes the proceedings of the 4th International Conference on Geometric Science of Information, GSI 2019, held in Toulouse, France, in August 2019. The 79 full papers presented in this volume were carefully reviewed and selected from 105 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications.
Iutam Symposium On Computational Physics And New Perspectives In Turbulence
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Author : Yukio Kaneda
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-26
Iutam Symposium On Computational Physics And New Perspectives In Turbulence written by Yukio Kaneda and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-26 with Science categories.
This volume contains the proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence, held at Nagoya University, Nagoya, Japan, in September 2006. With special emphasis given to fundamental aspects of the physics of turbulence, coverage includes experimental approaches to fundamental problems in turbulence, turbulence modeling and numerical methods, and geophysical and astrophysical turbulence.
Large Scale Atmosphere Ocean Dynamics Analytical Methods And Numerical Models
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Author : John Norbury
language : en
Publisher: Cambridge University Press
Release Date : 2002
Large Scale Atmosphere Ocean Dynamics Analytical Methods And Numerical Models written by John Norbury and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Dynamic climatology categories.
Publisher Description
Turbulence
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Author : Amir A. Aliabadi
language : en
Publisher: Springer Nature
Release Date : 2022-10-12
Turbulence written by Amir A. Aliabadi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-12 with Technology & Engineering categories.
This textbook explains turbulent flows using an introductory but fundamental approach to teaching the core principles, striking a balance between theoretical and practical aspects of the topic without overwhelming the reader with mathematical detail. It is aimed at students in various engineering disciplines—mechanical, civil, environmental—and the geosciences. It is divided in five parts. Part 1 provides the fundamentals of turbulence, main hypotheses, and analysis tools; Part 2 illustrates various measurement techniques used to study turbulent flows; Part 3 explains the modelling and simulation frameworks to study turbulent flows; Part 4 describes brief applications of turbulence in engineering and sciences; and Part 5 presents basic statistical, mathematical, and numerical tools. Elucidates the theory behind turbulence in a concise yet rigorous manner Combines theoretical, computational, experimental, and applied aspects of the topic Reinforces concepts with practice problems at the end of each chapter Provides brief chapters on statistics, mathematics, and numerical techniques