Basic Hydrodynamics

Preface1 Introduction to BASIC 1.1 The BASIC Philosophy 1.2 Elementary BASIC 1.3 Checking Programs 1.4 Versions of BASIC and Different Computers 1.5 Bibliography2 Potential Flow Fundamentals Essential Theory 2.1 Stream Function 2.2 Velocity Potential 2.3 Flow Nets 2.4 Sketching Flow Nets 2.5 Combining Simple Solutions 2.6 Mapping 2.7 Bernoulli's Equation 2.8 Application of Bernoulli's Equation 2.9 Pressure in a Circular Passage 2.10 Forces on a Circle with a Circulation 2.11 Expressions for Pressures and Forces 2.12 Boundary Layer on a Flat Plate 2.13 Bibliography Worked Examples 2.1 XYSP1: Stream Function and Potential in a Source 2.2 SPLOT: Streamlines of Sources and a Stream 2.3 TRANC1: Transforms Circle Flow and Plots Shape 2.4 TRANC2: Forces on a Transformed Circle 2.5 FDBL: Boundary Layer on a Flat Plate Problems3 Numerical Solutions to Potential Flows Essential Theory 3.1 General Approach 3.2 Finite Difference Method — Principles 3.3 Finite Difference Equations 3.4 Finite Differences — Boundary Value 3.5 Solution of Finite Difference Equations 3.6 Finite Element Method 3.7 Boundary Element Methods 3.8 Bibliography Worked Examples 3.1 FDIT1: Finite Difference Solution for Flow through a Channel 3.2 FEM2: Finite Element Program for Potential Flow Past a Circle 3.3 BEM2: Boundary Element Program Applied to Circle Flow 3.4 BEM3: Circle Flow as an 'External' BEM Problem Problems4 Seepage Flows Essential Theory 4.1 Introduction 4.2 Confined Flow under a Dam 4.3 Confined Flow into Excavations 4.4 Flows with Variable Permeability 4.5 Free Surface Flow on a Shallow Foundation 4.6 Horizontal Seepage Flow 4.7 Flow in Confined and Unconfined Aquifers 4.8 Well near a Boundary 4.9 Time Varying Seepage 4.10 Bibliography Worked Examples 4.1 SPXY2: Flow under a Dam 4.2 XYSP2: Flow to Wells on an Island 4.3 FDIT3: Flow to Wells — Finite Differences 4.4 FDIT10: Flow under a Dam — Finite Differences 4.5 FDIT12: Seepage with Varying Permeability — Finite Differences 4.6 FDIT4: Free Surface Flows — Finite Differences Problems5 Free Surface Flows Essential Theory 5.1 Water Surface Waves 5.2 Reflection of Waves 5.3 Complex Potential for waves 5.4 The Boundary Element Method and Waves 5.5 Reflected and Transmitted Waves 5.6 Forces on Large 2D Objects Fixed in Waves 5.7 Wave Forces on Vertical Cylinders 5.8 Wave Forces on Large Vertical Cylinders 5.9 Other Free Surface Flows 5.10 The x-ψ Coordinate System 5.11 Flows from an Orifice 5.12 Sluice Gates 5.13 Weirs and Spillways 5.14 Bibliography Worked Examples 5.1 WAVE1: Wave Length and Celerity 5.2 WAVE2: Surface and Water Movement in Waves 5.3 BEM4: Waves and Obstacles 5.4 FDSX4: Jets and Weirs ProblemsIndex