Book contents
- Frontmatter
- Contents
- Preface
- 1 CFD in Perspective
- 2 Mappings
- 3 Ordinary Differential Equations: Initial Value Problem
- 4 Spatial Discretization
- 5 Boundary Value and Eigenvalue ODEs
- 6 Methods Based on Functional Expansions
- 7 Partial Differential Equations
- 8 Multi-dimensional Partial Differential Equations
- References
- Index
Preface
Published online by Cambridge University Press: 03 October 2017
- Frontmatter
- Contents
- Preface
- 1 CFD in Perspective
- 2 Mappings
- 3 Ordinary Differential Equations: Initial Value Problem
- 4 Spatial Discretization
- 5 Boundary Value and Eigenvalue ODEs
- 6 Methods Based on Functional Expansions
- 7 Partial Differential Equations
- 8 Multi-dimensional Partial Differential Equations
- References
- Index
Summary
This book has been in preparation for over a decade. Hassan Aref and I had been making substantial additions and revisions each year, in our desire to reach the perfect book for a first course in Computational Fluid Dynamics (CFD). I sincerely wish that we had completed the book a few years ago, so that Hassan was there when the book was published. Unfortunately this was not the case. September 9th 2011 was a tragic day for fluid mechanics. We lost an intellectual leader, a fearless pioneer and for me an inspirational mentor. It is quite amazing how my academic career intersected with Hassan's over the years. He was my Masters Thesis advisor at Brown University. But when Hassan left for the University of California at San Diego, I decided to stay and finish my PhD at Brown. A few years later, when I was an assistant professor at the Theoretical and Applied Mechanics Department at the University of Illinois at Urbana– Champaign, he was appointed as the head of the department. This is when he asked me to join him in this project of writing a non-traditional introductory book on CFD. The project was delayed when Hassan moved to Virginia Tech as the Dean and I moved to the University of Florida as the Chair of the Mechanical and Aerospace Engineering Department. His passing away a few years ago made me all the more determined to finish the book as a way to honor his memory. I am very glad that the book is now finished and can be a monument to his far-sighted vision. Decades ago when CFD was in its infancy he foresaw how powerful computers and numerical methods would dominate the field of fluid mechanics.
Hassan and I shared a vision for this book. Our objective was to write something that would introduce CFD from the perspective of exploring and understanding the fascinating aspects of fluid flows. We wanted to target senior undergraduate students and beginning graduate students. We envisioned the student to have already taken a first level course in fluid mechanics and to be familiar with the mathematical foundations of differential equations.
- Type
- Chapter
- Information
- A First Course in Computational Fluid Dynamics , pp. vii - xPublisher: Cambridge University PressPrint publication year: 2017