1 Introduction. - 1-1 The Importance of Modelling Unsteady Flows. - 1-2 The Nature and Causes of Unsteadiness. - 1-3 Flow Equations their Mathematical Nature and Physical Implications. - 1-4 Summary of Book Content. - 2 Overview of Elementary Temporal Discretizations. - 2-1 Introduction. - 2-2 Profile Assumptions for Variables. - 2-3 The Generic Discretized Equation. - 2-4 Two-level Schemes. - 2-5 Three-level Schemes. - 2-6 Predictor-Corrector Methods. - 2-7 Splitting Methods. - 2-8 Time Marching and Stiffness. - 2-9 Characterizing Stability and Accuracy of Schemes. - 2-10 Boundary Conditions and Solution Initialization. - 2-11 Integration of Particle/Droplet Transport Equations. - 2-12 Two-level Scheme Exemplar. - 2-13 Conclusions. - 3 Temporal and Spatial Discretization Relationships. - 3-1 Introduction. - 3-2 The Substantial Derivative. - 3-3 Convective Term Treatments. - 3-4 Dissipation Dispersion. - 3-5 Moving Boundaries. - 3-6 Time Adaptive Solutions. - 3-7 Conclusions. - 4 Solver Algorithms and General Solution Procedures. - 4-1 Introduction. - 4-2 Simultaneous Equation Solvers. - 4-3 Parallel Processing. - 4-4 Evaluation of the Pressure Field. - 4-5 Review of Commercial Programs and their Unsteady Flow Capabilities. - 4-6 Features of Codes used for Case Studies. - 4-7 Conclusions. - 5 Solution Adapted Time-Steps. - 5-1 Introduction. - 5-2 Numerical Methods. - 5-3 Discussion of Results. - 5-4 Conclusions. - 6 Turbulence Modelling. - 6-1 Introduction. - 6-2 VLES/URANS Modelling. - 6-3 LES Modelling. - 6-4 Zonal LES/DES. - 6-5 URANS Models used in Case Studies. - 6-6 Conclusions. - 7 Cyclic Annular Cavity Flows. - 7-1 Introduction. - 7-2 Numerical Details. - 7-3 Discussion of Results. - 7-4 Conclusions. - 8 Cyclic Aero Engine Motivated Cavity Flows. - 8-1 Introduction. - 8-2 Numerical Details. - 8-3 Lower Reynolds Number Results. - 8-4 Higher Reynolds Number Results. - 8-5 Adaptive Time Stepping. - 8-6 Conclusions. - 9 Cyclic Moving Boundary Flows. - 9-1 Introduction. - 9-2 Numerical Details. - 9-3 Discussion of Results for Journal Bearing. - 9-4 Discussion of Results for Magnetic Bearing. - 9-5 Conclusions. - 10 Cyclic Complex System Flow. - 10-1 Introduction. - 10-2 Numerical Details. - 10-3 Discussion of Results for Fluid Flow. - 10-4 Adaptive-Time Stepping. - 10-5 Discussion of Results for Scalar and Particle Transport. - 10-6 Conclusions. - 11 Transient Complex System Flow. - 11-1 Introduction. - 11-2 Numerical Details. - 11-3 Discussion of Results. - 11-4 Conclusions. - 12 Overall Conclusions with Future Perspectives. - Appendices. - A Discretization of The Governing Equations and Multilevel Convergence Operators. - A-l General Equation Discretization. - A-2 Treatment of Variables at the Axis of Rotation. - A-3 Discretization of Earth's Acceleration Due to Gravity. - A-4 The Multilevel Restriction and Prolongation Operators. - B Derivation of Condif Scheme for Variable Density Fluid. - C Multilevel Convergence Performance Exemplars. - C-l Driven Box Flow. - C-2 Grid Embedding. - C-3 Cluttered Geometries. - C-4 Grid Aspect Ratio. - C-5 Heated Rotating Cavity Flow. - C-6 Conclusions. - D Further Chapter 10 Case Details. - E FLO_CAV Program User Information. - E-l FLO_CAV Program. - E-2 Description of Program Structure and Subroutines. - E-3 Program Input. - E-4 Boundary Conditions. - E-5 Post processing. - F FLO_BEARING Program User Information. - F-l FLO_BEARING Program. - F-2 Description of Program Structure and Subroutines. - F-3 Program Input. - F-4 Boundary Conditions. - F-5 Input Files. - G FLO_ELEC Program User Information. - G-l FLO_ELEC Program. - G-2 Description of Program Structure and Subroutines. - G-3 ProgramInput. - G-4 General Details. - References. Language: English