Shallow Water Hydraulics

Description

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. Front Matter ....Pages i-xvii Fundamental Equations of Free Surface Flows (Oscar Castro-Orgaz, Willi H. Hager)....Pages 1-49 Energy and Momentum Principles (Oscar Castro-Orgaz, Willi H. Hager)....Pages 51-136 Computation of Steady Gradually-Varied Flows (Oscar Castro-Orgaz, Willi H. Hager)....Pages 137-181 Computation of Steady Transcritical Open Channel Flows (Oscar Castro-Orgaz, Willi H. Hager)....Pages 183-200 Unsteady Open Channel Flows: Basic Solutions (Oscar Castro-Orgaz, Willi H. Hager)....Pages 201-251 Ideal Dam Break Waves (Oscar Castro-Orgaz, Willi H. Hager)....Pages 253-272 Finite Difference Methods (Oscar Castro-Orgaz, Willi H. Hager)....Pages 273-311 The Riemann Problem (Oscar Castro-Orgaz, Willi H. Hager)....Pages 313-346 Finite Volume Methods (Oscar Castro-Orgaz, Willi H. Hager)....Pages 347-415 Sediment Transport and Movable Beds (Oscar Castro-Orgaz, Willi H. Hager)....Pages 417-434 Numerical Modeling of Non-hydrostatic Free Surface Flows (Oscar Castro-Orgaz, Willi H. Hager)....Pages 435-492 Numerical Library of Shallow Water Equations (Oscar Castro-Orgaz, Willi H. Hager)....Pages 493-555 Back Matter ....Pages 557-563