Shallow Water
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Numerical Methods For Shallow Water Flow
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Author : C.B. Vreugdenhil
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Numerical Methods For Shallow Water Flow written by C.B. Vreugdenhil 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 2013-03-09 with Science categories.
A wide variety of problems are associated with the flow of shallow water, such as atmospheric flows, tides, storm surges, river and coastal flows, lake flows, tsunamis. Numerical simulation is an effective tool in solving them and a great variety of numerical methods are available. The first part of the book summarizes the basic physics of shallow-water flow needed to use numerical methods under various conditions. The second part gives an overview of possible numerical methods, together with their stability and accuracy properties as well as with an assessment of their performance under various conditions. This enables the reader to select a method for particular applications. Correct treatment of boundary conditions (often neglected) is emphasized. The major part of the book is about two-dimensional shallow-water equations but a discussion of the 3-D form is included. The book is intended for researchers and users of shallow-water models in oceanographic and meteorological institutes, hydraulic engineering and consulting. It also provides a major source of information for applied and numerical mathematicians.
Shallow Waters
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Author : Anita Kopacz
language : en
Publisher: Simon and Schuster
Release Date : 2022-08-09
Shallow Waters written by Anita Kopacz and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-09 with Fiction categories.
In this “captivating” (Harper’s Bazaar) and lyrical debut novel—perfect for fans of The Water Dancer and the Legacy of Orïsha series—the Yoruba deity of the sea, Yemaya, is brought to vivid life as she discovers the power of Black resilience, love, and feminine strength in antebellum America. Shallow Waters imagines Yemaya, an Orïsha—a deity in the religion of Africa’s Yoruba people—cast into mid-1800s America. We meet Yemaya as a young woman, still in the care of her mother and not yet fully aware of the spectacular power she possesses to protect herself and those she holds dear. The journey laid out in Shallow Waters sees Yemaya confront the greatest evils of this era; transcend time and place in search of Obatala, a man who sacrifices his own freedom for the chance at hers; and grow into the powerful woman she was destined to become. We travel alongside Yemaya from her native Africa and on to the “New World,” with vivid pictures of life for those left on the outskirts of power in the nascent Americas. Yemaya realizes the fighter within, travels the Underground Railroad in search of the mysterious stranger Obatala, and crosses paths with icons of our history on the road to freedom. Shallow Waters is a “riveting and heartbreaking” (Publishers Weekly) work of ritual storytelling from promising debut author Anita Kopacz.
Shallow Water Hydrodynamics
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Author : W.Y. Tan
language : en
Publisher: Elsevier
Release Date : 1992-08-17
Shallow Water Hydrodynamics written by W.Y. Tan and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-17 with Science categories.
Within this monograph a comprehensive and systematic knowledge on shallow-water hydrodynamics is presented. A two-dimensional system of shallow-water equations is analyzed, including the mathematical and mechanical backgrounds, the properties of the system and its solution. Also featured is a new mathematical simulation of shallow-water flows by compressible plane flows of a special virtual perfect gas, as well as practical algorithms such as FDM, FEM, and FVM. Some of these algorithms have been utilized in solving the system, while others have been utilized in various applied fields. An emphasis has been placed on several classes of high-performance difference schemes and boundary procedures which have found wide uses recently for solving the Euler equations of gas dynamics in aeronautical and aerospatial engineering. This book is constructed so that it may serve as a handbook for practicians. It will be of interest to scientists, designers, teachers, postgraduates and professionals in hydraulic, marine, and environmental engineering; especially those involved in the mathematical modelling of shallow-water bodies.
Fundamentals Of Shallow Water Acoustics
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Author : Boris Katsnelson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-22
Fundamentals Of Shallow Water Acoustics written by Boris Katsnelson 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 2012-02-22 with Science categories.
Shallow water acoustics (SWA), the study of how low and medium frequency sound propagates and scatters on the continental shelves of the worlds oceans, has both technical interest and a large number of practical applications. Technically, shallow water poses an interesting medium for the study of acoustic scattering, inverse theory, and propagation physics in a complicated oceanic waveguide. Practically, shallow water acoustics has interest for geophysical exploration, marine mammal studies, and naval applications. Additionally, one notes the very interdisciplinary nature of shallow water acoustics, including acoustical physics, physical oceanography, marine geology, and marine biology. In this specialized volume the authors, all of whom have extensive at-sea experience in US and Russian research efforts, have tried to summarize the main experimental, theoretical, and computational results in shallow water acoustics, with an emphasis on providing physical insight into the topics presented.
Shallow Waters
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Author : Anita Kopacz
language : en
Publisher: Simon and Schuster
Release Date : 2021-08-03
Shallow Waters written by Anita Kopacz and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-03 with Fiction categories.
In this “captivating” (Harper’s Bazaar) and lyrical debut novel—perfect for fans of The Water Dancer and the Legacy of Orïsha series—the Yoruba deity of the sea, Yemaya, is brought to vivid life as she discovers the power of Black resilience, love, and feminine strength in antebellum America. Shallow Waters imagines Yemaya, an Orïsha—a deity in the religion of Africa’s Yoruba people—cast into mid-1800s America. We meet Yemaya as a young woman, still in the care of her mother and not yet fully aware of the spectacular power she possesses to protect herself and those she holds dear. The journey laid out in Shallow Waters sees Yemaya confront the greatest evils of this era; transcend time and place in search of Obatala, a man who sacrifices his own freedom for the chance at hers; and grow into the powerful woman she was destined to become. We travel alongside Yemaya from her native Africa and on to the “New World,” with vivid pictures of life for those left on the outskirts of power in the nascent Americas. Yemaya realizes the fighter within, travels the Underground Railroad in search of the mysterious stranger Obatala, and crosses paths with icons of our history on the road to freedom. Shallow Waters is a “riveting and heartbreaking” (Publishers Weekly) work of ritual storytelling from promising debut author Anita Kopacz.
The Shallow Water Wave Equations Formulation Analysis And Application
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Author : Ingemar Kinnmark
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Shallow Water Wave Equations Formulation Analysis And Application written by Ingemar Kinnmark 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 2012-12-06 with Science categories.
1. 1 AREAS OF APPLICATION FOR THE SHALLOW WATER EQUATIONS The shallow water equations describe conservation of mass and mo mentum in a fluid. They may be expressed in the primitive equation form Continuity Equation _ a, + V. (Hv) = 0 L(l;,v;h) at (1. 1) Non-Conservative Momentum Equations a M("vjt,f,g,h,A) = at(v) + (v. V)v + tv - fkxv + gV, - AIH = 0 (1. 2) 2 where is elevation above a datum (L) ~ h is bathymetry (L) H = h + C is total fluid depth (L) v is vertically averaged fluid velocity in eastward direction (x) and northward direction (y) (LIT) t is the non-linear friction coefficient (liT) f is the Coriolis parameter (liT) is acceleration due to gravity (L/T2) g A is atmospheric (wind) forcing in eastward direction (x) and northward direction (y) (L2/T2) v is the gradient operator (IlL) k is a unit vector in the vertical direction (1) x is positive eastward (L) is positive northward (L) Y t is time (T) These Non-Conservative Momentum Equations may be compared to the Conservative Momentum Equations (2. 4). The latter originate directly from a vertical integration of a momentum balance over a fluid ele ment. The former are obtained indirectly, through subtraction of the continuity equation from the latter. Equations (1. 1) and (1. 2) are valid under the following assumptions: 1. The fluid is well-mixed vertically with a hydrostatic pressure gradient. 2. The density of the fluid is constant.
Shallow Water Dictionary
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Author :
language : en
Publisher:
Release Date : 1990
Shallow Water Dictionary written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Dispersive Shallow Water Waves
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Author : Gayaz Khakimzyanov
language : en
Publisher: Springer Nature
Release Date : 2020-09-15
Dispersive Shallow Water Waves written by Gayaz Khakimzyanov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-15 with Mathematics categories.
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.
3d Modeling Of Nonlinear Wave Phenomena On Shallow Water Surfaces
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Author : Iftikhar B. Abbasov
language : en
Publisher: John Wiley & Sons
Release Date : 2018-01-31
3d Modeling Of Nonlinear Wave Phenomena On Shallow Water Surfaces written by Iftikhar B. Abbasov and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-31 with Technology & Engineering categories.
With climate change, erosion, and human encroachment on coastal environments growing all over the world, it is increasingly important to protect populations and environments close to the sea from storms, tsunamis, and other events that can be not just costly to property but deadly. This book is one step in bringing the science of protection from these events forward, the most in-depth study of its kind ever published. The analytic and numerical modeling problems of nonlinear wave activities in shallow water are analyzed in this work. Using the author’s unique method described herein, the equations of shallow water are solved, and asymmetries that cannot be described by the Stokes theory are solved. Based on analytical expressions, the impacts of dispersion effects to wave profiles transformation are taken into account. The 3D models of the distribution and refraction of nonlinear surface gravity wave at the various coast formations are introduced, as well. The work covers the problems of numerical simulation of the run-up of nonlinear surface gravity waves in shallow water, transformation of the surface waves for the 1D case, and models for the refraction of numerical modeling of the run-up of nonlinear surface gravity waves at beach approach of various slopes. 2D and 3D modeling of nonlinear surface gravity waves are based on Navier-Stokes equations. In 2D modeling the influence of the bottom of the coastal zone on flooding of the coastal zone during storm surges was investigated. Various stages of the run-up of nonlinear surface gravity waves are introduced and analyzed. The 3D modeling process of the run-up is tested for the coast protection work of the slope type construction. Useful for students and veteran engineers and scientists alike, this is the only book covering these important issues facing anyone working with coastal models and ocean, coastal, and civil engineering in this area.
Nonlinear Dynamics Of Rotating Shallow Water Methods And Advances
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Author :
language : en
Publisher: Elsevier
Release Date : 2007-04-03
Nonlinear Dynamics Of Rotating Shallow Water Methods And Advances written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-03 with Science categories.
The rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi-) layer version. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially nonlinear wave phenomena. The specificity of the book is that analytical, numerical, and experimental approaches are presented together and complement each other. Special attention is paid on explaining the methodology, e.g. multiple time-scale asymptotic expansions, averaging and removal of resonances, in what concerns theory, high-resolution finite-volume schemes, in what concerns numerical simulations, and turntable experiments with stratified fluids, in what concerns laboratory simulations. A general introduction into GFD is given at the beginning to introduce the problematics for non-specialists. At the same time, recent new results on nonlinear geostrophic adjustment, nonlinear waves, and equatorial dynamics, including some exact results on the existence of the slow manifold, wave breaking, and nonlinear wave solutions are presented for the first time in a systematic manner. · Incorporates analytical, numerical and experimental approaches in the geophysical fluid dynamics context· Combination of essentials in GFD, of the description of analytical, numerical and experimental methods (tutorial part), and new results obtained by these methods (original part)· Provides the link between GFD and mechanics (averaging method, the method of normal forms); GFD and nonlinear physics (shocks, solitons, modons, anomalous transport, periodic nonlinear waves)