Non-hydrostatic free surface flows
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 e...
| Main Author: | Castro-Orgaz, Oscar, |
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| Other Authors: | Hager, Willi H.,, SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
[2017]
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| Physical Description: |
1 online resource : illustrations. |
| Series: |
Advances in geophysical and environmental mechanics and mathematics.
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| Subjects: |
| Summary: |
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. |
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| Item Description: |
880-01 Preface; Acknowledgements; Contents; 1 Introduction; 1.1 Aim and Scope; 1.2 Hydrostatic and Non-hydrostatic Free Surface Flows; 1.3 Historical Background; 1.4 Non-hydrostatic Flows and Environmental Mechanics; 1.5 Methodology; References; 2 Vertically Integrated Non-hydrostatic Free Surface Flow Equations; 2.1 Introduction; 2.2 Vertically Integrated Equations in Continuum Mechanical Description; 2.2.1 Basic Conservation Laws; 2.2.2 Depth-Integrated Continuity Equation; 2.2.3 Depth-Integrated Momentum Equations in Horizontal Plane. 2.2.4 Non-hydrostatic Stresses in z-Direction and Vertical Velocity Profile2.3 Shallow Flow Approximation and Depth-Averaged Equations; 2.4 Simplified Forms of Non-hydrostatic Extended Flow Equations; 2.4.1 RANS Model for River Flow; 2.4.2 One-Dimensional Water Waves Over Horizontal Topography; 2.4.3 Turbulent Uniform Flow on Steep Terrain; 2.4.4 Flows Over Curved Beds; 2.4.5 Enhanced Gravity; 2.4.6 Non-hydrostatic Model Including Friction Effects; 2.5 Sediment Transport and Movable Beds; 2.5.1 Introduction; 2.5.2 Non-hydrostatic Unsteady Free Surface Flow with Bed-Load Sediment Transport. 2.6 Numerical Methods for Boussinesq-Type Models2.6.1 Unsteady Flow Simulations; 2.6.2 Steady Flow Simulations; 2.7 Higher-Order Equations; 2.7.1 Fawer-Type Equations; 2.7.2 Moment Equations; References; 3 Inviscid Channel Flows; 3.1 Introduction; 3.2 Potential Flow Theory; 3.2.1 Fundamentals; 3.2.2 Conservation Laws; 3.2.3 Flow Net; 3.3 Picard Iteration; 3.3.1 General Aspects of Iterative Solutions; 3.3.2 Second-Order Velocity Field; 3.3.3 Third-Order Velocity Field; 3.4 Approximate Treatment of Flow Net Geometry; 3.4.1 Velocity Profile; 3.4.2 Extended Equations. 3.7.5 Determination of Velocity and Pressure Distributions3.8 Free Overfall; 3.8.1 Picard Iteration; 3.8.2 Curvilinear Flow at the Brink Section; 3.8.3 Moment of Momentum Method; 3.8.4 Two-Dimensional Solution; 3.8.5 Flow Net; 3.9 Transition from Mild to Steep Slopes; 3.9.1 Picard Iteration; 3.9.2 Two-Dimensional Solution; 3.9.3 Flow Net; 3.10 Flow Over Round-Crested Weirs; 3.10.1 Picard Iteration; 3.10.2 Dressler's Theory; 3.10.3 Two-Dimensional Solution; 3.10.4 Flow Nets; 3.11 Sharp-Crested Weir; 3.11.1 Critical Flow; 3.11.2 Profile of High Dams; 3.12 Critical Flow Over Weir Profiles. Includes bibliographical references and index. 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. |
| Physical Description: |
1 online resource : illustrations. |
| Bibliography: |
Includes bibliographical references and index. |
| ISBN: |
9783319479712 3319479717 |