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The Shallow Water Wave Equations Formulation Analysis And Application
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Book Synopsis The Shallow Water Wave Equations: Formulation, Analysis and Application by : Ingemar Kinnmark
Download or read book The Shallow Water Wave Equations: Formulation, Analysis and Application written by Ingemar Kinnmark and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Shallow Water Hydrodynamics by : W.Y. Tan
Download or read book Shallow Water Hydrodynamics written by W.Y. Tan and published by Elsevier. This book was released on 1992-08-17 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Numerical Methods for Shallow-Water Flow by : C.B. Vreugdenhil
Download or read book Numerical Methods for Shallow-Water Flow written by C.B. Vreugdenhil and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Analysis of the Numerical Solution of the Shallow Water Equations by : Thomas A. Hamrick
Download or read book Analysis of the Numerical Solution of the Shallow Water Equations written by Thomas A. Hamrick and published by . This book was released on 1997-09-01 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is concerned with the analysis of various methods for the numerical solution of the shallow water equations along with the stability of these methods. Most of the thesis is concerned with the background and formaulation of the shallow water equations. The derivation of the basic equations will be given, in the primative variable and vorticity divergence formulation. Also the shallow water equations will be written in spherical coordinates. Two main types of methods used in approximating differential equations of this nature will be discussed. The two schemes are finite difference method (FDM) and the finite element method (FEM). After presenting the shallow water equations in several formulations, some examples will be presented. The use of the Fourier transform to find the solution of a semidiscrete analog of the shallow water equations is also demonstrated.
Book Synopsis Selected Papers from the 14th Estuarine and Coastal Modeling Conference by : Richard P. Signell
Download or read book Selected Papers from the 14th Estuarine and Coastal Modeling Conference written by Richard P. Signell and published by MDPI. This book was released on 2018-06-27 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Selected Papers from the 14th Estuarine and Coastal Modeling Conference" that was published in JMSE
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1969 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Energy Science and Applied Technology ESAT 2016 by : Zhigang Fang
Download or read book Energy Science and Applied Technology ESAT 2016 written by Zhigang Fang and published by CRC Press. This book was released on 2016-10-14 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2016 International Conference on Energy Science and Applied Technology (ESAT 2016) held on June 25-26 in Wuhan, China aimed to provide a platform for researchers, engineers, and academicians, as well as industrial professionals, to present their research results and development activities in energy science and engineering and its applied technology. The themes presented in Energy Science and Applied Technology ESAT 2016 are: Technologies in Geology, Mining, Oil and Gas; Renewable Energy, Bio-Energy and Cell Technologies; Energy Transfer and Conversion, Materials and Chemical Technologies; Environmental Engineering and Sustainable Development; Electrical and Electronic Technology, Power System Engineering; Mechanical, Manufacturing, Process Engineering; Control and Automation; Communications and Applied Information Technologies; Applied and Computational Mathematics; Methods and Algorithms Optimization; Network Technology and Application; System Test, Diagnosis, Detection and Monitoring; Recognition, Video and Image Processing.
Book Synopsis The Indian Ocean Tsunami by : Tad S. Murty
Download or read book The Indian Ocean Tsunami written by Tad S. Murty and published by Taylor & Francis. This book was released on 2006-12-14 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Indian Ocean tsunami of December 2004 is considered to have been one of the worst natural disasters in history, affecting twelve countries, from Indonesia to Somalia. 175,000 people are believed to have lost their lives, almost 50,000 were registered as missing and 1.7 million people were displaced. As well as this horrendous toll on human life
Download or read book ADCIRC written by and published by . This book was released on 1994 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Cornelis B. Vreugdenhil Publisher :Springer Science & Business Media ISBN 13 :3642955789 Total Pages :191 pages Book Rating :4.6/5 (429 download)
Book Synopsis Computational Hydraulics by : Cornelis B. Vreugdenhil
Download or read book Computational Hydraulics written by Cornelis B. Vreugdenhil and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Computational Hydraulics? Computational hydraulics is one of the many fields of science in which the application of computers gives rise to a new way of working, which is intermediate between purely theoretical and experimental. It is concerned with simulation ofthe flow of water, together with its consequences, using numerical methods on com puters. There is not a great deal of difference with computational hydrodynamics or computational fluid dynamics, but these terms are too much restricted to the fluid as such. It seems to be typical of practical problems in hydraulics that they are rarely directed to the flow by itself, but rather to some consequence of it, such as forces on obstacles, transport of heat, sedimentation of a channel or decay of a pollutant. All these subjects require very similar numerical methods and this is why they are treated together in this book. Therefore, I have preferred to use the term computational hydraulics. Accordingly, I have attempted to show the wide field of application by giving examples of a great variety of such practical problems. Purpose of the Book It is getting a normal situation that an engineer is required to solve some engineering problem involving fluid flow, using standard and general-purpose computer programs available in many organizations. In many instances, the software has been designed with the claim that no numerical or computer-science expertise is needed in using them.
Book Synopsis Modelling Surface and Sub-Surface Flows by :
Download or read book Modelling Surface and Sub-Surface Flows written by and published by Elsevier. This book was released on 1988-06-01 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling Surface and Sub-Surface Flows
Download or read book Water Waves written by J. J. Stoker and published by John Wiley & Sons. This book was released on 2011-08-15 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an integrated account of the mathematical hypothesis of wave motion in liquids with a free surface, subjected to gravitational and other forces. Uses both potential and linear wave equation theories, together with applications such as the Laplace and Fourier transform methods, conformal mapping and complex variable techniques in general or integral equations, methods employing a Green's function. Coverage includes fundamental hydrodynamics, waves on sloping beaches, problems involving waves in shallow water, the motion of ships and much more.
Book Synopsis Hydrobiological Modelling by : Brian J. Williams
Download or read book Hydrobiological Modelling written by Brian J. Williams and published by Lulu.com. This book was released on 2006 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes models of aquatic ecosystems, ranging from lakes to estuaries to the deep ocean. It provides a background in the physical and biological processes, numerical methods and elementary ecosystem models. It describes two of the most widely used hydrodynamic models and presents a number of case studies. The practice of modelling in management is discussed.
Book Synopsis Water Level and Current Prediction for the JLOTS III Exercise, Coast of North Carolina by : Edward F. Thompson
Download or read book Water Level and Current Prediction for the JLOTS III Exercise, Coast of North Carolina written by Edward F. Thompson and published by . This book was released on 1994 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Water Waves Problem by : David Lannes
Download or read book The Water Waves Problem written by David Lannes and published by American Mathematical Soc.. This book was released on 2013-05-08 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a comprehensive and self-contained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models.
Book Synopsis Asian and Pacific Coasts 2003 by : Yoshimi Goda
Download or read book Asian and Pacific Coasts 2003 written by Yoshimi Goda and published by World Scientific. This book was released on 2004 with total page 1583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the experience of coastal and port engineering development, as well as coastal environmental problems, in Asian and Pacific countries. It also provides information and promotes technological progress and activities, international technical transfer and cooperation, and opportunities for engineers and researchers to maintain and improve scientific and technical competence. The subject areas are not limited to the classical topics of coastal engineering but are extended to related fields, including environments, marine ecology, coastal oceanography, fishery, etc.
Book Synopsis Asian and Pacific Coasts 2003 by : Yoshimi Goda
Download or read book Asian and Pacific Coasts 2003 written by Yoshimi Goda and published by World Scientific. This book was released on 2004-02-19 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the experience of coastal and port engineering development, as well as coastal environmental problems, in Asian and Pacific countries. It also provides information and promotes technological progress and activities, international technical transfer and cooperation, and opportunities for engineers and researchers to maintain and improve scientific and technical competence. The subject areas are not limited to the classical topics of coastal engineering but are extended to related fields, including environments, marine ecology, coastal oceanography, fishery, etc. Contents:Climate Change and Sea-Level Rise: Challenges to Coastal Science and Engineering (N Mimura)Visualization of Tidal Oscillation in the Taiwan Strait (W J Juang et al.)Comparison and Characterization of Bottom Mounted Wave Directional System (T Nagai et al.)Study of the Effect of Harbor Shapes on Wave Induced Oscillations (A B Derun & M Isobe)Long-Term Shoreline Changes Using Aerial Photos on the Namhangjin Coast (S Jung et al.)Analysis of Chloride Ion Penetration in Marine Concrete Structure (S H Han & W S Park)Research on Influence of Hangzhou Bay Major Bridge to Qiantang Bore (S Xiong et al.)Field Observation of Water Environment in Ariake Bay (Y Koibuchi & I Isobe)Present Situation of Coastal Protection System in Island Countries in the South Pacific (P Vanualailai & N Mimura)Remote Sensing of Chlorophyll Concentration in a Bay from Landsat TM Data (S Aoki)and other papers Readership: Graduate students, academics, researchers, consulting engineers and industrialists (construction and fishery) in ocean engineering, fish and marine biology, and oceanography. Keywords:Coastal Oceanography;Coastal Meteorology;Coastal Sediments;Coastal and Harbor Structures;Coastal Fishery;Coastal Environments;Marine Ecology;Coastal Zone Management
