Shallow Water Hydraulics

Shallow Water Hydraulics

Author: Oscar Castro-Orgaz

Publisher: Springer Nature

Published: 2019-11-08

Total Pages: 563

ISBN-13: 3030130738

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This book presents the theory and computation of open channel flows, using detailed analytical, numerical and experimental results. The fundamental equations of open channel flows are derived by means of a rigorous vertical integration of the RANS equations for turbulent flow. In turn, the hydrostatic pressure hypothesis, which forms the core of many shallow water hydraulic models, is scrutinized by analyzing its underlying assumptions. The book’s main focus is on one-dimensional models, including detailed treatments of unsteady and steady flows. The use of modern shock capturing finite difference and finite volume methods is described in detail, and the quality of solutions is carefully assessed on the basis of analytical and experimental results. The book’s unique features include: • Rigorous derivation of the hydrostatic-based shallow water hydraulic models • Detailed treatment of steady open channel flows, including the computation of transcritical flow profiles • General analysis of gate maneuvers as the solution of a Riemann problem • Presents modern shock capturing finite volume methods for the computation of unsteady free surface flows • Introduces readers to movable bed and sediment transport in shallow water models • Includes numerical solutions of shallow water hydraulic models for non-hydrostatic steady and unsteady free surface flows This book is suitable for both undergraduate and graduate level students, given that the theory and numerical methods are progressively introduced starting with the basics. As supporting material, a collection of source codes written in Visual Basic and inserted as macros in Microsoft Excel® is available. The theory is implemented step-by-step in the codes, and the resulting programs are used throughout the book to produce the respective solutions.


Book Synopsis Shallow Water Hydraulics by : Oscar Castro-Orgaz

Download or read book Shallow Water Hydraulics written by Oscar Castro-Orgaz and published by Springer Nature. This book was released on 2019-11-08 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory and computation of open channel flows, using detailed analytical, numerical and experimental results. The fundamental equations of open channel flows are derived by means of a rigorous vertical integration of the RANS equations for turbulent flow. In turn, the hydrostatic pressure hypothesis, which forms the core of many shallow water hydraulic models, is scrutinized by analyzing its underlying assumptions. The book’s main focus is on one-dimensional models, including detailed treatments of unsteady and steady flows. The use of modern shock capturing finite difference and finite volume methods is described in detail, and the quality of solutions is carefully assessed on the basis of analytical and experimental results. The book’s unique features include: • Rigorous derivation of the hydrostatic-based shallow water hydraulic models • Detailed treatment of steady open channel flows, including the computation of transcritical flow profiles • General analysis of gate maneuvers as the solution of a Riemann problem • Presents modern shock capturing finite volume methods for the computation of unsteady free surface flows • Introduces readers to movable bed and sediment transport in shallow water models • Includes numerical solutions of shallow water hydraulic models for non-hydrostatic steady and unsteady free surface flows This book is suitable for both undergraduate and graduate level students, given that the theory and numerical methods are progressively introduced starting with the basics. As supporting material, a collection of source codes written in Visual Basic and inserted as macros in Microsoft Excel® is available. The theory is implemented step-by-step in the codes, and the resulting programs are used throughout the book to produce the respective solutions.


Shallow Water Equations in Hydraulics

Shallow Water Equations in Hydraulics

Author:

Publisher:

Published: 2022-02-24

Total Pages: 164

ISBN-13: 9783036533179

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Book Synopsis Shallow Water Equations in Hydraulics by :

Download or read book Shallow Water Equations in Hydraulics written by and published by . This book was released on 2022-02-24 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:


A Reprint Series in Shallow Water Hydraulics

A Reprint Series in Shallow Water Hydraulics

Author: James A. Liggett

Publisher:

Published: 1969

Total Pages: 116

ISBN-13:

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Book Synopsis A Reprint Series in Shallow Water Hydraulics by : James A. Liggett

Download or read book A Reprint Series in Shallow Water Hydraulics written by James A. Liggett and published by . This book was released on 1969 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Shallow Water Hydrodynamics

Shallow Water Hydrodynamics

Author: W.Y. Tan

Publisher: Elsevier

Published: 1992-08-17

Total Pages: 449

ISBN-13: 0080870937

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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 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 449 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.


Numerical Methods for Shallow-Water Flow

Numerical Methods for Shallow-Water Flow

Author: C.B. Vreugdenhil

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 273

ISBN-13: 9401583544

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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 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.


Popagation of Shallow-water Waves in a Hydraulic Flume

Popagation of Shallow-water Waves in a Hydraulic Flume

Author: B.E. Paplinska

Publisher:

Published: 1983

Total Pages: 30

ISBN-13:

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Book Synopsis Popagation of Shallow-water Waves in a Hydraulic Flume by : B.E. Paplinska

Download or read book Popagation of Shallow-water Waves in a Hydraulic Flume written by B.E. Paplinska and published by . This book was released on 1983 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Non-Hydrostatic Free Surface Flows

Non-Hydrostatic Free Surface Flows

Author: Oscar Castro-Orgaz

Publisher: Springer

Published: 2017-03-27

Total Pages: 699

ISBN-13: 3319479717

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This book provides essential information on the higher mathematical level of approximation over the gradually varied flow theory, also referred to as the Boussinesq-type theory. In this context, it presents higher order flow equations, together with their applications in a broad range of pertinent engineering and environmental problems, including open channel, groundwater, and granular material flows.


Book Synopsis Non-Hydrostatic Free Surface Flows by : Oscar Castro-Orgaz

Download or read book Non-Hydrostatic Free Surface Flows written by Oscar Castro-Orgaz and published by Springer. This book was released on 2017-03-27 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides essential information on the higher mathematical level of approximation over the gradually varied flow theory, also referred to as the Boussinesq-type theory. In this context, it presents higher order flow equations, together with their applications in a broad range of pertinent engineering and environmental problems, including open channel, groundwater, and granular material flows.


Propagation of Shallow-water Waves in a Hydraulic Flume

Propagation of Shallow-water Waves in a Hydraulic Flume

Author: B. E. Paplińska

Publisher:

Published: 1983

Total Pages: 46

ISBN-13:

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Book Synopsis Propagation of Shallow-water Waves in a Hydraulic Flume by : B. E. Paplińska

Download or read book Propagation of Shallow-water Waves in a Hydraulic Flume written by B. E. Paplińska and published by . This book was released on 1983 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Water Hydraulics Control Technology

Water Hydraulics Control Technology

Author: Erik Trostmann

Publisher: Routledge

Published: 2019-03-13

Total Pages: 193

ISBN-13: 1351405055

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This work introduces the principles of water hydraulics technology and its benefits and limitations, and clarifies the essential differences between water and oil hydraulics. It discusses basic components and systems, including hydraulic power generators (pumps), hydraulic control components or modulators (valves), hydraulic transmission lines (tubes, hoses and fittings) and hydraulic actuators (single- or double-acting cylinders and rotary motors). A listing of water hydraulics components/systems manufacturers is provided.


Book Synopsis Water Hydraulics Control Technology by : Erik Trostmann

Download or read book Water Hydraulics Control Technology written by Erik Trostmann and published by Routledge. This book was released on 2019-03-13 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work introduces the principles of water hydraulics technology and its benefits and limitations, and clarifies the essential differences between water and oil hydraulics. It discusses basic components and systems, including hydraulic power generators (pumps), hydraulic control components or modulators (valves), hydraulic transmission lines (tubes, hoses and fittings) and hydraulic actuators (single- or double-acting cylinders and rotary motors). A listing of water hydraulics components/systems manufacturers is provided.


The Shallow Water Wave Equations: Formulation, Analysis and Application

The Shallow Water Wave Equations: Formulation, Analysis and Application

Author: Ingemar Kinnmark

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 212

ISBN-13: 3642826466

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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 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.