Essential Computational Fluid Dynamics
This book serves as a complete and self-contained introduction to the principles of Computational Fluid Dynamic (CFD) analysis. It is deliberately short (at approximately 300 pages) and can be used as a text for the first part of the course of applied CFD followed by a software tutorial. The main objectives of this non-traditional format are: 1) To introduce and explain, using simple examples where possible, the principles and methods of CFD analysis and to demystify the `black box’ of a CFD software tool, and 2) To provide a basic understanding of how CFD problems are set and which factors affect the success and failure of the analysis. Included in the text are the mathematical and physical foundations of CFD, formulation of CFD problems, basic principles of numerical approximation (grids, consistency, convergence, stability, and order of approximation, etc), methods of discretization with focus on finite difference and finite volume techniques, methods of solution of transient and steady state problems, commonly used numerical methods for heat transfer and fluid flows, plus a brief introduction into turbulence modeling.
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By observing history of CFD textbooks, one notices that it almost becomes a trend CFD books getting thicker and thicker. Many authors want their books as detailed and broader as possible. The intention is obviously good. But for many CFD beginners, the information from those comprehensive text books is just overwhelming. Some students even got discouragement by complex expression or nomenclature such as tensor quantities or certain mathematical spaces, etc. Therefore there is a need to have a book easy to read and understand from basic CFD concept to detailed numerical procedures representing up-to-date subject advancement, in the meantime to cover most important theories and applications. Dr. Zikanov’s book finds itself in this niche position. From teaching experience in or out of classroom, I observed most students like this book and benefit lots out of that.
So I strongly recommend this textbook for those trying to understand and implement CFD in a relatively short period of time. That includes fluids majored undergraduate student in their senior level and 1st/2nd year graduate students, or non-fluids majored graduate students.
Partial Differential Equations
Basics of Finite Difference Approximation
Finite Volume Method
Stability of Transient Solutions
Application to Model Equations