Principles of Computational Fluid Dynamics [Hardcover]

This up-to-date book gives an account of the present state of the art of numerical methods employed in computational fluid dynamics. The underlying numerical principles are treated in some detail, using elementary methods. The author gives many pointers to the current literature, facilitating further study. This book will become the standard reference for CFD for the next 20 years.

This is a soft cover reprint of a very popular hardcover edition, published in 1999. It provides an up-to-date account of the state-of-the-art of numerical methods employed in computational fluid dynamics.

The basic equation of fluid dynamics.- Partial differential equations: analytic aspects.- Finite volume and finite difference discretization on nonuniform grids.- The stationary convection-diffusion equation.- The nonstationary convection-diffusion equation.- The incompressible Navier-Stokes equations.- Iterative methods.- The shallow-water equations.- Scalar conservation laws.- The Euler equations in one space dimension.- Discretization in general domains.- Numerical solution of the Euler equations in general domains.- Numerical solution of the Navier-Stokes equations in general domains.- Unified methods for computing incompressible and compressible flow.

This book is a well-written graduate level text in computational fluid dynamics. The text begins with a rather thorough discussion and derivation of the equations of fluid dynamics, followed by a review of topics in the theory of partial differential equations. There is a good introduction to the two numerical methods, finite volume and finite difference, that are treated in this text. The material is well-organized, starting with simple one-dimensional equations and moving to numerical methods for two-dimensional and three-dimensional problems. Grids are treated in some detail. In addition to simple colocated grids, there is discussion of non-uniform, staggered, and unstructured grids. Thel³ƒ