Vreugdenhil, Cornelis B. creator text 89 New York Springer-Verlag 1989 monographic viii, 182 p.: ill. Table of Contents 1. Introduction 2. Water quality in a Lake 2.1. Mathematical Formulation 2.2. Exercises 3. Numerical solution for Box Model 3.1 Principle 3.2 Stability and Accuracy 3.3. Example 3.4. Implicit Method 3.5. Exercises 4. Transport of a Dissolved Substance 4.1. Mathematical Formulation 4.2. Numerical Solution 4.3. Exercises 5. Explicit Finite-Difference Methods 5.1. Two-Level Methods 5.2. The Leap-Frog Method 5.3. The CFL Condition 5.4. Truncation Error 5.5. Wave Propagation 5.6. Exercises 6. Kinematic waves 6.1. Theory 6.2. Example 7. Diffusion 7.1. Groundwater Flow in a Horizontal Layer 7.2. Explicit Finite-Difference Method 7.3. Implicit Finite-Difference Method 7.4. The Thomas Algorithm 7.5. Application 7.6. Exercises 8. Numerical Accuracy for Diffusion Problems 8.1. Fourier Series 8.2. Transfer Function 8.3. Numerical Representation 8.4. Exercises 9. Diffusion Model for Coastline Development 9.1. Mathematical Formulation 9.2. Initial and Boundary Conditions 9.3. Example 9.4. Exercises 10. Consolidation of Soil 10.1. Mathematical Formulation 10.2. Numerical Example 11. Convection-Diffusion 11.1. Transport of a Dissolved Substance 11.2. Numerical Method 11.3. Application 11.4. Exercises 12. Numerical Accuracy for Convection-Diffusion 12.1. Wave Propagation 12.2. Example 12.3. Numerical Diffusion 12.4. Example 12.5. Convection only 12.6. Wiggles 12.7. Exercises 13. Salt intrusion in Estuaries 13.1. Formulation 13.2. Accuracy Mean Concentration 13.3. Accuracy for Tidal Fluctuation 14. Boundary Layers 14.1. Suspended Sediment Transport 14.2. Example 14.3. Boundary-Layer Flows 14.4. Pressure Gradient 14.5. Developing Flow in a River 14.6. Exercises 15. Long Waves 15.1. Simplified Formulation 15.2. Characteristics 15.3. Weakly Reflecting Boundary Conditions 15.4. Example 15.5. Wave Propagation 15.6. Example 15.7. Exercises 16. Numerical Methods for Long Waves 16.1. Leap-Frog Method 16.2. Stability of the Leap-Frog Method 16.3. Example.- 16.4. Implicit Methods 16.5. Numerical Wave Propagation 16.6. Example 16.7. Exercises 17. Long Waves in Two-Dimensional Areas 17.1. Mathematical Formulation 17.2. Wave Propagation and Characteristics Ill 17.3. Boundary Conditions 17.4. Example 18. Finite-Difference Methods for Two-Dimensional Long Waves 18.1. Grids 18.2. Explicit Method 18.3. Alternating-Direction Implicit Method 18.4. Stability 18.5. Wave Propagation 18.6. Example 18.7. Exercises 19. Potential Flow 19.1. Irrotational Flow 19.2. Potential and Stream Function 19.3. Characteristics and Boundary Conditions 19.4. Pressure 19.5. Exercises 20. Finite-Difference Method for Potential Flow 20.1. Difference Equation 20.2. Accuracy 20.3. Example 20.4. Exercises 21. Finite-Element Method 21.1. Principle 21.2. The Galerkin Method 21.3. Boundary Conditions 21.4. Comparison with Finite-Difference Method 21.5. Groundwater Flow 21.6. Exercises Appendices Al. Long Waves.- A 1.1. Mathematical Formulation for Rivers.- A 1,2. Mathematical Formulation in Two Dimensions.- A 1.3. Characteristics.- A 1.4. Linearization.- A 1.5. Wave Propagation. A2. Linear Triangular Finite Elements References Subject Index Hydraulics - Mathematical models - Mathematics Mechanics Renewable energy sources Thermodynamics Hydraulic engineering Engineering mathematics 624.15 VRE 3540506063 200103