Sayma Abdulnaser. Computational Fluid Dynamics

Dong Energy, 2009. — ISBN: 978-87-7681-430-4.Scope of this book.
Prediction Methods.
Typical problems.
Outline of this book.
Basic Equations of Fluid Flow and Levels of Approximation.
The Navier-Stokes Equations.
Turbulent flow.
In vise id flow.
Boundary layer approximation.
Closure.
Basic Computational Techniques.
Discretisation.
Discretisation Methods.
The Accuracy of the Discretisation Process.
Illustrative Example.
Closure.
Properties of Numerical Schemes.
Basic definitions.
Consistency.
Stability.
The Finite Difference Method.
Basics.
Other difference formulae.
Multi-dimensional Finite difference formulae.
Non-Uniform meshes.
The Finite Element Method.
Basics.
Elements and Shape Functions.
Weighted Residual Method.
The Finite Volume Method.
The diffusion equation.
The Convection Diffusion Equation.
Extension to multi-dimensional problems.
Unstructured grids.
Solution Methods Systems of Equations.
Nonlinear Systems.
Methods for the solution of linear systems.
Iterative methods.
Multigrid acceleration.
Mesh Generation.
Structured girds.
Unstructured grids.