| 7. TURBULENCE 7.1 What is turbulence? 7.2 Momentum transfer in laminar and turbulent flow 7.3 Turbulence notation 7.4 Effect of turbulence on the mean flow 7.5 Turbulence generation and transport 7.6 Important shear flows 8. TURBULENCE MODELLING1 8.1 Eddy-viscosity models 8.2 Advanced turbulence models 8.3 Wall boundary conditions 9. PRE- AND POST-PROCESSING 9.1 Stages of a CFD analysis 9.2 The computational mesh 9.3 Boundary conditions 9.4 Flow visualisation Summary of vector calculus 10. ADVANCED TURBULENCE MODELLING 1. Turbulence models for general-purpose CFD 2. Linear eddy-viscosity models 3. Non-linear eddy-viscosity models 4. Differential stress models 5. Implementation of turbulence models in CFD | 4. THE SCALAR-TRANSPORT EQUATION 4.1 Control-volume notation 4.2 The steady-state 1-d advection-diffusion equation 4.3 Discretising diffusion 4.4 Discretising the source term 4.5 The matrix equation 4.6 Discretising advection (part 1) 4.7 Extension to 2 and 3 dimensions 4.8 Discretisation properties 4.9 Discretising advection (part 2) 4.10 Implementation of advanced advection schemes 4.11 Boundary conditions 4.12 Solution of matrix equations Tri-diagonal matrix algorithm 5. PRESSURE AND VELOCITY 5.1 The momentum equation 5.2 Pressure-velocity coupling 5.3 Pressure-correction methods 6. TIME-DEPENDENT METHODS 6.1 The time-dependent scalar-transport equation 6.2 One-step methods for single variables 6.3 One-step methods for CFD 6.4 Multi-step methods 6.5 Uses of time-marching in CFD | 1. INTRODUCTION TO CFD 1.1 What is computational fluid dynamics? 1.2 Basic principles of CFD 1.3 Stages in a CFD simulation 1.4 Fluid-flow equations 1.5 The main discretisation methods 2. FLUID-FLOW EQUATIONS 2.1 Introduction 2.2 Conservative differential equations 2.3 Non-conservative differential equations 2.4 Non-dimensionalisation 3. APPROXIMATIONS AND SIMPLIFIED EQUATIONS 3.1 Steady-state vs time-dependent flow 3.2 Two-dimensional vs three-dim flow 3.3 Incompressible vs compressible flow 3.4 Inviscid vs viscous flow 3.5 Hydrostatic vs non-hydrostatic flow 3.6 Boussinesq approximation for density 3.7 Depth-averaged (shallow-water) equations 3.8 Reynolds-averaged equations (turbulent flow) |
