Computational Aerodynamics and Fluid Dynamics

1. Introduction.- 2. Basics of the Finite-Difference Method.- 3. Application to the Integration of Ordinary Differential Equations.- 4. Partial Differential Equations.- 5. Integration of a Linear Hyperbolic Equation.- 6. Integration of a Linear Parabolic Equation.- 7. Integration of a Linear Elliptic Equation.- 8. Finite Difference Scheme for a Convection-Diffusion Equation.- 9. The Method of Murman and Cole.- 10. Treatment of Non-Linearities.- 11. Application to a System of Equations.- A. Problems.- B. Solutions to Problems.- References.

From the reviews:

"Most of the book is classical, i.e. the author carries out a clear and concise review of finite difference methods (explicit and implicit) used to integrate initial and/or boundary value problems for ordinary and partial differential equations. [...] However, it is the appendix devoted to problems, which confers a distinctive position on this book in the CFD literature. The author works out in detail ten nontrivial problems in a very pedagogical manner." (Zentralblatt MATH, 1013, 2003)

"[...] a very well-written book. This reviewer recommends it highly for advanced undergraduate and first-year graduate classes. In addition, engineers and scientists interested in numerical simulation of fluid flow and plasma flow should find this an excellent self-study textbook." (Shi Tsan Wu, Applied Mechanics Reviews, 56/3, 2003)

"The objective of the textbook is to give the reader the basic knowledge in using numerical knowledge in using numerical methods for an accurate and stable simulation of physical phenomena in aerodynamics and fluid dynamics. The general idea of the book is to motivate the reader to write his own code and to use it in application. ... The book is well suited for senior undergraduate, first year graduate students, and engineers who will be developing or using codes in CFD based on finite differences." (Lutz Tobiska, Mathematical Reviews, Issue 2004 d)

"The author carries out a clear and concise review of finite difference methods (explicit and implicit) used to integrate initial and/or boundary value problems for ordinary and partial differential equations. Practical aspects of the implementation of some selected schemes are also considered. ... it is the appendix devoted to problems, which confers a distinctive position on this book in the CFD literature." (Calin Ioan Gheorghiu, Zentralblatt MATH, Vol. 1013, 2003)

"In this book, the author has documented his lecture notes on computational fluiddynamics (CFD) ... . The most significant aspect of this book is that the author presents two appendices that include the problems and solutions, respectively. ... Computational Aerodynamics and Fluid Dynamics: An Introduction is a very well-written book. This reviewer recommends it highly for advanced under-graduate and first-year graduate classes. In addition, engineers and scientists interested in numerical simulation of fluid flow and plasma flow should find this an excellent self-study book." (Shi Tsan Wu, Applied Mechanics Reviews, Vol. 56 (3), 2003)