Shallow Water Hydrodynamics
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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.
Shallow Water Hydrodynamics
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Author : Wei-Yan Tan
language : en
Publisher:
Release Date : 1992
Shallow Water Hydrodynamics written by Wei-Yan Tan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Fluid dynamics categories.
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 Water Hydrodynamics
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Author : Wei-Yan Tan
language : en
Publisher:
Release Date : 1992
Shallow Water Hydrodynamics written by Wei-Yan Tan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Water Waves And Ship Hydrodynamics
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Author : A.J. Hermans
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-21
Water Waves And Ship Hydrodynamics written by A.J. Hermans 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 2010-10-21 with Technology & Engineering categories.
In this book an introduction is given to aspects of water waves that play a role in ship hydrodynamics and offshore engineering. At first the equations and linearized boundary conditions are derived describing the non-viscous free surface water waves, with special attention to the combination of steady and non-steady flow fields. Then some simple kinds of free wave solutions are derived, such as plane waves and cylindrical waves. For several situations, steady and unsteady, the source singularity function is derived. These functions play a role in numerical codes used to describe the motion of ships and offshore structures. These codes are mostly based on a boundary integral formulation; therefore we give an introduction to these methods. It is shown how first order ship motions can be determined. In offshore engineering the second order wave drift motions play an important role. An introduction to this phenomenon is given and the effects which have to be taken into account are explained by means of a simple example where we can determine nearly all the aspects analytically. An interesting example that is worked out is the motion of very large floating flexible platforms with finite draft. Finally an introduction to the theory of shallow water non-linear dispersive waves is presented, and shallow water ship hydrodynamics, that plays a role in coastal areas and channels is treated. Here attention is paid to the interaction between passing ships in restricted water. In the appendix a short introduction to some of the mathematical tools is given.
Hydrodynamics Of Wave Making In Shallow Water
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Author : Xue-Nong Chen
language : en
Publisher:
Release Date : 1999
Hydrodynamics Of Wave Making In Shallow Water written by Xue-Nong Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
An Introduction To Hydrodynamics And Water Waves
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Author : Bernard LeMéhauté
language : en
Publisher:
Release Date : 1969
An Introduction To Hydrodynamics And Water Waves written by Bernard LeMéhauté and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Hydrodynamics categories.
Free Surface Flow
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Author : Nikolaos D. Katopodes
language : en
Publisher: Butterworth-Heinemann
Release Date : 2018-08-30
Free Surface Flow written by Nikolaos D. Katopodes and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-30 with Technology & Engineering categories.
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.
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.
Geophysical Fluid Dynamics
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Author : Vladimir Zeitlin
language : en
Publisher: Oxford University Press
Release Date : 2018
Geophysical Fluid Dynamics written by Vladimir Zeitlin and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
Geophysical fluid dynamics examines the dynamics of stratified and turbulent motion of fluids in the ocean and outer core, and of gases in the atmosphere. This book explains key notions and fundamental processes of the dynamics of large- and medium-scale atmospheric and oceanic motions from the unifying viewpoint of the rotating shallow water model. The model plays a distinguished role in geophysical fluid dynamics. It has been used for about a century for conceptual understanding of various phenomena, for elaboration of approaches and methods to be used later in more complete models, for development and testing of numerical codes, and for many other purposes. In spite of its simplicity, the model grasps essential features of the complete "primitive equations" models, being their vertically averaged version, and gives an intuitive representation and clear vision of principal dynamical processes. This book is a combination of a course on geophysical fluid dynamics (Part 1), with explanations and illustrations of fundamentals, and problems, as well as a more advanced treatise of a range of principal dynamical phenomena (Part 2), including recently arisen approaches and applications (Part 3). Mathematics and physics underlying dynamical phenomena are explained, with necessary demonstrations. Yet, an important goal of the book is to develop the reader's physical intuition and qualitative insights.