Computational Fluid Dynamics

This book provides the basics of Computational Fluid Dynamics (CFD) appropriate to modern day undergraduate study. The aim is to bridge the gap between books focusing on detailed theoretical analysis and commercial software user's guides which do not contain significant theory. The book provides the reader with the theoretical background of basic CFD methods without going into deep detail into the mathematics or numerical algorithms. Sisältö Introduction 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 Inviscid flow Boundary layer approximation Closure Basic Computational Techniques Discretisation Discretisation Methods The Accuracy of the Discretisation Process Illustrative Example Closure Properties of Numerical Schemes 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 References Innhold Introduction 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 Inviscid flow Boundary layer approximation Closure Basic Computational Techniques Discretisation Discretisation Methods The Accuracy of the Discretisation Process Illustrative Example Closure Properties of Numerical Schemes 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 References This book provides the basics of Computational Fluid Dynamics (CFD) appropriate to modern day undergraduate study. You can download the book for free via the link below.