
Computational Fluid Dynamics: Principles and Applications
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Content
- Front Cover
- Computational Fluid Dynamics: Principles and Applications
- Copyright Page
- Contents
- Acknowledgements
- List of Symbols
- Abbreviations
- Chapter 1. Introduction
- Chapter 2. Governing Equations
- 2.1 The Flow and its Mathematical Description
- 2.2 Conservation Laws
- 2.3 Viscous Stresses
- 2.4 Complete System of the Navier-Stokes Equations
- Bibliography
- Chapter 3. Principles of Solution of the Governing Equations
- 3.1 Spatial Discretisation
- 3.2 Temporal Discretisation
- 3.3 Turbulence Modelling
- 3.4 Initial and Boundary Conditions
- Bibliography
- Chapter 4. Spatial Discretisation. Structured Finite Volume Schemes
- 4.1 Geometrical Quantities of a Control Volume
- 4.2 General Discretisation Methodologies
- 4.3 Discretisation of Convective Fluxes
- 4.4 Discretisation of Viscous Fluxes
- Bibliography
- Chapter 5. Spatial Discretisation: Unstructured Finite Volume Schemes
- 5.1 Geometrical Quantities of a Control Volume
- 5.2 General Discretisation Methodologies
- 5.3 Discretisation of Convective Fluxes
- 5.4 Discretisation of Viscous Fluxes
- Bibliography
- Chapter 6. Temporal Discretisation
- 6.1 Exphcit Time-Stepping Schemes
- 6.2 Implicit Time-Stepping Schemes
- 6.3 Methodologies for Unsteady Flows
- Bibliography
- Chapter 7. Turbulence Modelling
- 7.1 Basic Equations of Turbulence
- 7.2 First-Order Closures
- 7.3 Large-Eddy Simulation
- Bibliography
- Chapter 8. Boundary Conditions
- 8.1 Concept of Dummy Cells
- 8.2 Solid Wall
- 8.3 Farfield
- 8.4 Inlet/Outlet Boundary
- 8.5 Symmetry Plane
- 8.6 Coordinate Cut
- 8.7 Periodic Boundaries
- 8.8 Interface Between Grid Blocks
- 8.9 Flow Gradients at Boundaries of Unstructured Grids
- Bibliography
- Chapter 9. Acceleration Techniques
- 9.1 Local Time-Stepping
- 9.2 Enthalpy Damping
- 9.3 Residual Smoothing
- 9.4 Multigrid
- 9.5 Preconditioning for Low Mach Numbers
- Bibliography
- Chapter 10. Consistency, Accuracy and Stability
- 10.1 Consistency Requirements
- 10.2 Accuracy of Discretisation
- 10.3 Von Neumann Stability Analysis
- Bibliography
- Chapter 11. Principles of Grid Generation
- 11.1 Structured Grids
- 11.2 Unstructured Grids
- Bibliography
- Chapter 12. Description of the Source Codes
- 12.1 Programs for Stability Analysis
- 12.2 Structured 1-D Grid Generator
- 12.3 Structured 2-D Grid Generators
- 12.4 Structured to Unstructured Grid Converter
- 12.5 Quasi 1-D Euler Solver
- 12.6 Structured 2-D Euler Solver
- 12.7 Unstructured 2-D Euler Solver
- Bibliography
- A. Appendix
- A.1 Governing Equations in Differential Form
- A.2 Mathematical Character of the Governing Equations
- A.3 Navier-Stokes Equations in Rotating Frame of Reference
- A.4 Navier-Stokes Equations Formulated for Moving Grids
- A.5 Thin Shear Layer Approximation
- A.6 Parabolised Navier-Stokes Equations
- A.7 Convective Flux Jacobian
- A.8 Viscous Flux Jacobian
- A.9 Transformation from Conservative to Characteristic Variables
- A.10 GMRES Algorithm
- A.11 Tensor Notation
- Bibliography
- Index
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