Computational fluid mechanics and heat transfer

This book is intended to serve as a text for introductory courses in computational fluid mechanics and heat transfer for advanced undergraduates and/or first-year graduate students. The first part of the book presents basic concepts and provides an introduction to the fundamentals of finite-difference methods, while the second part is devoted to applications involving the equations of fluid mechanics and heat transfer. A description is given of the application of finite-difference methods to selected model equations, taking into account the wave equation, heat equation, Laplace's equation, Burgers' equation (inviscid), and Burgers' equation (viscous). Numerical methods for inviscid flow equations are considered along with governing equations of fluid mechanics and heat transfer, numerical methods for boundary-layer type equations, numerical methods for the 'parabolized' Navier-Stokes equations, numerical methods for the Navier-Stokes equations, and aspects of grid generation.