Shallow Water Waves on the Rotating Earth PDF Download

Author: Nathan Paldor
Publisher: Springer
ISBN: 3319202618
Category : Science
Languages : en
Pages : 77

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Book Description
This book describes new theoretical advances concerning analytical solutions of the Rotating Shallow Water Equations, which will make it of great interest to graduate students and scientists in the fields of Geophysical Fluid Dynamics, Physical Oceanography, Dynamical Meteorology and Applied Mathematics. The new dispersion relations and meridional amplitude variations of waves derived in this book can be applied to observations in the atmosphere and ocean and also provide alternatives to the Spherical Harmonics basis of global-scale spectral numerical models.

Author: Open University. Oceanography Course Team
Publisher: Pergamon
ISBN:
Category : Science
Languages : en
Pages : 196

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Book Description
This is the fourth Volume of the six Volume Open University set. Each Volume is used by students as a relevant part of the Open University course in the UK, but designed so that it can equally be used as an individual text book. This Volume describes waves, their measurement and characteristics, their behaviour in shallow water and unusual waves. It also considers mainly theoretical aspects of sediment movement and deposition of currents, wave estuaries, and the interaction of waves, tides and river flow in deltas. Concludes with a look at shelf-sea processes and their mineral resources. Each Volume in this set is well laid out and copiously illustrated with full colour photographs, graphs and graphics. Questions to help develop arguments and/or understanding can be found in the text and at the end of each chapter, with worked answers provided at the back of each Volume. Each chapter also concludes with a summary to help consolidate understanding before the next chapter is begun.

Author: Nikolaos D. Katopodes
Publisher: Butterworth-Heinemann
ISBN: 0128154888
Category : Technology & Engineering
Languages : en
Pages : 848

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Book Description
Free-Surface Flow: Shallow-Water Dynamics presents a novel approach to this phenomenon. It bridges the gap between traditional books on open-channel flow and analytical fluid mechanics. Shallow-water theory is established by formal integration of the Navier-Stokes equations, and boundary resistance is developed by a rigorous construction of turbulent flow models for channel flow. In addition, the book presents a comprehensive description of shallow-water waves by mathematical analysis. These methods form the foundation for understanding flood routing, sudden water releases, dam and levee break, sluice gate dynamics and wave-current interaction. Bridges the gap between traditional books on open-channel flow and wave mechanics. Presents a comprehensive description of shallow-water waves by characteristic and bicharacteristic analysis. Presents techniques for wave control and active flood mitigation.

Author: Andrew Majda
Publisher: American Mathematical Soc.
ISBN: 9780821883495
Category : Mathematics
Languages : en
Pages : 252

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Book Description
Written by a leading specialist in the area of atmosphere/ocean science (AOS), the book presents an excellent introduction to this important topic. The goals of these lecture notes, based on courses presented by the author at the Courant Institute of Mathematical Sciences, are to introduce mathematicians to the fascinating and important area of atmosphere/ocean science (AOS) and, conversely, to develop a mathematical viewpoint on basic topics in AOS of interest to the disciplinary AOS community, ranging from graduate students to researchers. The lecture notes emphasize the serendipitous connections between applied mathematics and geophysical flows in the style of modern applied mathematics, where rigorous mathematical analysis as well as asymptotic, qualitative, and numerical modeling all interact to ease the understanding of physical phenomena. Reading these lecture notes does not require a previous course in fluid dynamics, although a serious reader should supplement these notes with material such The book is intended for graduate students and researchers working in interdisciplinary areas between mathematics and AOS. It is excellent for supplementary course reading or independent study.

Author: Adrian E. Gill
Publisher: Elsevier
ISBN: 1483281582
Category : Science
Languages : en
Pages : 682

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Book Description
Atmosphere-Ocean Dynamics deals with a systematic and unified approach to the dynamics of the ocean and atmosphere. The book reviews the relationship of the ocean-atmosphere and how this system functions. The text explains this system through radiative equilibrium models; the book also considers the greenhouse effect, the effects of convection and of horizontal gradients, and the variability in radiative driving of the earth. Equations in the book show the properties of a material element, mass conservation, the balance of scalar quantity (such as salinity), and the mathematical behavior of the ocean and atmosphere. The book also addresses how the ocean-atmosphere system tends to adjust to equilibrium, both in the absence and presence of driving forces such as gravity. The text also explains the effect of the earth's rotation on the system, as well as the application of forced motions such as that produced by wind or temperature changes. The book explains tropical dynamics and the effects of variation of the Coriolis parameter with latitude. The text will be appreciated by meteorologists, environmentalists, students studying hydrology, and people working in general earth sciences.

Author: Open University. Oceanography Course Team
Publisher: Gulf Professional Publishing
ISBN: 9780750642811
Category : Science
Languages : en
Pages : 230

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Book Description
"The book begins by describing the characteristics of waves and tides, and their behaviour in shallow water. After outlining the sources of sediment supply to the oceans, some theoretical aspects of sediment movement and deposition by currents are considered. After looking at wave action in the littoral zone, the interplay of tidal currents, river flow and wave action in estuaries and deltas are explored. The final chapter provides an overview of shelf processes."--Amazon.com viewed June 30, 2022.

Author: John P. Boyd
Publisher: Springer
ISBN: 3662554763
Category : Science
Languages : en
Pages : 517

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Book Description
This book is the first comprehensive introduction to the theory of equatorially-confined waves and currents in the ocean. Among the topics treated are inertial and shear instabilities, wave generation by coastal reflection, semiannual and annual cycles in the tropic sea, transient equatorial waves, vertically-propagating beams, equatorial Ekman layers, the Yoshida jet model, generation of coastal Kelvin waves from equatorial waves by reflection, Rossby solitary waves, and Kelvin frontogenesis. A series of appendices on midlatitude theories for waves, jets and wave reflections add further material to assist the reader in understanding the differences between the same phenomenon in the equatorial zone versus higher latitudes.

Author: Gayaz Khakimzyanov
Publisher: Springer Nature
ISBN: 3030462676
Category : Mathematics
Languages : en
Pages : 296

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Book Description
This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal balance between theory and applications. From modelling tsunami waves to smaller scale coastal processes, this book will be an indispensable resource for those looking to be brought up-to-date in this active area of scientific research. Beginning with an introduction to various dispersive long wave models on the flat space, the authors establish a foundation on which readers can confidently approach more advanced mathematical models and numerical techniques. The first two chapters of the book cover modelling and numerical simulation over globally flat spaces, including adaptive moving grid methods along with the operator splitting approach, which was historically proposed at the Institute of Computational Technologies at Novosibirsk. Later chapters build on this to explore high-end mathematical modelling of the fluid flow over deformed and rotating spheres using the operator splitting approach. The appendices that follow further elaborate by providing valuable insight into long wave models based on the potential flow assumption, and modified intermediate weakly nonlinear weakly dispersive equations. Dispersive Shallow Water Waves will be a valuable resource for researchers studying theoretical or applied oceanography, nonlinear waves as well as those more broadly interested in free surface flow dynamics.

Author: Kolumban Hutter
Publisher: Springer Science & Business Media
ISBN: 3642191126
Category : Science
Languages : en
Pages : 646

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Book Description
The overwhelming focus of this 2nd volume of “Physics of Lakes” is adequately expressed by its subtitle “Lakes as Oscillators”. It deals with barotropic and baroclinic waves in homogeneous and stratified lakes on the rotating Earth and comprises 12 chapters, starting with rotating shallow-water waves, demonstrating their classification into gravity and Rossby waves for homogeneous and stratified water bodies. This leads to gravity waves in bounded domains of constant depth, Kelvin, Poincaré and Sverdrup waves, reflection of such waves in gulfs and rectangles and their description in sealed basins as barotropic ‘inertial waves proper’. The particular application to gravity waves in circular and elliptical basins of constant depth leads to the description of Kelvin-type and Poincaré-type waves and their balanced description in basins of arbitrary geometry on the rotating Earth. Consideration of two-, three- and n-layer fluids with sharp interfaces give rise to the description of gravity waves of higher order baroclinicity with experimental corroboration in a laboratory flume and e.g. in Lake of Lugano, Lake Banyoles and Lake Biwa. Barotropic wave modes in Lake Onega with complex geometry show that data and computational output require careful interpretation. Moreover, a summer field campaign in Lake of Lugano and its two-layer modal analysis show that careful statistical analyses of the data are requested to match data with computational results. Three chapters are devoted to topographic Rossby waves. Conditions are outlined for which these waves are negligibly affected by baroclinicity. Three classes of these large period modes are identified: channel modes, so-called Ball modes and bay modes, often with periods which lie very close together. The last chapter deals with an entire class of Chrystal-type equations for barotropic waves in elongated basins which incorporate the effects of the rotation of the Earth.

Author: David Huddart
Publisher: John Wiley & Sons
ISBN: 1118688120
Category : Science
Languages : en
Pages : 1499

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Book Description
This book provides a comprehensive coverage of the major topics within undergraduate study programmes in geosciences, environmental science, physical geography, natural hazards and ecology. This text introduces students to the Earth's four key interdependent systems: the atmosphere, lithosphere, hydrosphere and biosphere, focussing on their key components, interactions between them and environmental change. Topics covered include: An earth systems model; components systems and processes: atmospheric systems; oceanography, endogenic geological systems and exogenic geological systems, biogeography and, aspects of the Earth's Record. The impact of climate and environmental change is discussed in a final chapter which draws together Earth's systems and their evolution and looks ahead to future earth changes and environments and various time periods in the geological record. Throughout the book geological case studies are used in addition to the modern processes.