Numerical simulation of water waves /

Numerical simulation of water waves /

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Bibliographic Details
Author / Creator:Tao, Jianhua.
Imprint:Singapore : Springer, ©2020.
Description:1 online resource (495 pages)
Language:English
Series:Springer tracts in civil engineering, 2366-2603
Springer tracts in civil engineering.
Subject:
Water waves -- Mathematical models.
Water waves -- Mathematical models.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12604587
Hidden Bibliographic Details
Other authors / contributors:Zhang, Haiwen.
ISBN:9811528411
9789811528408
9811528403
9789811528422
981152842X
9789811528439
9811528438
9789811528415
Digital file characteristics:text file PDF
Notes:3.4.1 Governing Equations
Includes bibliographical references.
Print version record.
Summary:This book discusses the numerical simulation of water waves, which combines mathematical theories and modern techniques of numerical simulation to solve the problems associated with waves in coastal, ocean, and environmental engineering. Bridging the gap between practical mathematics and engineering, the book describes wave mechanics, establishment of mathematical wave models, modern numerical simulation techniques, and applications of numerical models in engineering. It also explores environmental issues related to water waves in coastal regions, such as pollutant and sediment transport, and introduces numerical wave flumes and wave basins. The material is self-contained, with numerous illustrations and tables, and most of the mathematical and engineering concepts are presented or derived in the text. The book is intended for researchers, graduate students and engineers in the fields of hydraulic, coastal, ocean and environmental engineering with a background in fluid mechanics and numerical simulation methods.
Other form:Print version: Tao, Jianhua. Numerical Simulation of Water Waves. Singapore : Springer Singapore Pte. Limited, ©2020 9789811528408
Standard no.:10.1007/978-981-15-2841-5
10.1007/978-981-15-2
Table of Contents:
  • Intro
  • Preface
  • Contents
  • 1 Introduction
  • 1.1 Numerical Simulation of Fluid Flow
  • 1.1.1 What Is Numerical Simulation of Fluid Flow
  • 1.1.2 Contents of Numerical Simulation
  • 1.1.3 Purpose of Numerical Simulation in Engineering
  • 1.2 Water Waves in Engineering and Classifications of Water Waves
  • 1.2.1 Water Waves in Engineering
  • 1.2.2 Classification of Water Waves and Wave Theories
  • 1.3 Numerical Methods and Techniques of Water Wave Simulation
  • 1.3.1 Finite Difference Method
  • 1.3.2 Finite Volume Method
  • 1.3.3 Finite Element Method
  • 1.3.4 Boundary Element Method
  • 1.3.5 Numerical Techniques of Water Wave Simulation
  • 1.4 Development of Water Wave Simulation
  • 1.4.1 Computational Fluid Mechanics and Numerical Simulation of Water Waves
  • 1.4.2 Development of Numerical Simulation of Water Waves
  • 1.4.3 Relationship Among Numerical Simulation of Water Waves, Theoretical Analysis, and Experimental Study
  • References
  • 2 Water Wave Theories
  • 2.1 Mathematical Model of Water Waves
  • 2.1.1 Governing Equations for Water Waves
  • 2.1.2 Boundary Conditions for Water Waves
  • 2.1.3 Initial Condition for Water Waves
  • 2.2 Dispersive Waves
  • 2.2.1 Governing Equations and Boundary Conditions
  • 2.2.2 Linear Small-Amplitude Wave Theory
  • 2.2.3 Basic Concepts of Progressive Waves
  • 2.2.4 Stokes Finite Height Waves
  • 2.3 Dispersive Waves in Shallow Water
  • 2.3.1 Nonlinear Shallow Water Wave Equations
  • 2.3.2 Boussinesq Equations
  • 2.3.3 Unidirectional Dispersive Waves-KDV Equation
  • 2.3.4 Permanent Wave Solutions to the KDV Equation-Solitary Waves
  • 2.3.5 Propagating Wave Solution to the Boussinesq Equations-Cnoidal Wave
  • 2.4 Long Waves
  • 2.4.1 Basic Equations
  • 2.4.2 Theory of Characteristics for 1D Long Waves in Channel
  • 2.4.3 Influenced Zone of the Solution to Hyperbolic Equations, Requirements of Boundary, and Initial Conditions
  • 2.4.4 Discontinuous Waves and Weak Solutions
  • 2.5 Waves in Current
  • 2.5.1 Waves in Steady Current
  • 2.5.2 Vertical Structure Under the Wave-Current Interaction
  • 2.6 Introduction of Random Wave Theory
  • 2.6.1 Statistical Characteristics of Random Functions
  • 2.6.2 Description of Random Waves and the Concept of Spectrum
  • 2.6.3 Statistical Distribution of Random Wave Elements
  • 2.6.4 Frequency Spectrum and Directional Spectrum
  • References
  • 3 Numerical Simulation of Long Waves in Shallow Water
  • 3.1 Introduction
  • 3.2 Mathematical Model of 1D Long Waves
  • 3.2.1 Governing Equations
  • 3.2.2 Difference Equations
  • 3.2.3 Solving Method
  • 3.2.4 Boundary Conditions
  • 3.2.5 Flood Waves in Tidal Rivers
  • 3.3 Mathematical Model of 2D Long Waves
  • 3.3.1 2D Depth-Integrated Long Wave Equations
  • 3.3.2 Definite Conditions and Boundary Treatments
  • 3.3.3 Difference Equations
  • 3.3.4 Numerical Simulation of Circulation
  • 3.3.5 Tidal Current Field in Bohai Sea and Its Validation
  • 3.4 Mathematical Model of 3D Shallow Water Long Waves

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