Numerical simulation of water waves. (©2020)

• Record Type: Book
• Further Information: Note: Jianhua Tao ; translated by Haiwen Zhang ; co-translator, Jianhua Tao.
• Other Names: Tao, Jianhua; Zhang, Haiwen
• 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
• Publisher Details: Singapore : Springer
• Publication Date: 2020
• Copyright Date: 2020
• Extent: 1 online resource (495 pages)
• Subjects: 531.1133; Water waves -- Mathematical models; Water waves -- Mathematical models; Electronic books; Electronic books
• Languages: English
• ISBNs: 9789811528415; 9811528411; 9789811528408; 9811528403; 9789811528422; 9789811528439; 9811528438
• Related ISBNs: 981152842X
• Notes: Note: Includes bibliographical references.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.