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  • Textbook
  • © 2002

Computational Aerodynamics and Fluid Dynamics

An Introduction

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  • The concise style and the idea of making extensive use of carefully selected problems raises this book to a unique text for students as well as practitioners in numerical simulations of physical phenomena

  • Includes supplementary material: sn.pub/extras

Part of the book series: Scientific Computation (SCIENTCOMP)

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  • ISBN: 978-3-662-05064-4
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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XI
  2. Introduction

    • Jean-Jacques Chattot
    Pages 1-3
  3. Basics of the Finite-Difference Method

    • Jean-Jacques Chattot
    Pages 5-17
  4. Partial Differential Equations

    • Jean-Jacques Chattot
    Pages 27-39
  5. Integration of a Linear Hyperbolic Equation

    • Jean-Jacques Chattot
    Pages 41-52
  6. Integration of a Linear Parabolic Equation

    • Jean-Jacques Chattot
    Pages 53-62
  7. Integration of a Linear Elliptic Equation

    • Jean-Jacques Chattot
    Pages 63-74
  8. The Method of Murman and Cole

    • Jean-Jacques Chattot
    Pages 81-92
  9. Treatment of Non-Linearities

    • Jean-Jacques Chattot
    Pages 93-100
  10. Application to a System of Equations

    • Jean-Jacques Chattot
    Pages 101-112
  11. Back Matter

    Pages 113-186

About this book

This textbook is written for senior undergraduate and graduate students as well as engineers who will develop or use code in the simulation of fluid flows or other physical phenomena. The objective of the book is to give the reader the basis for understanding the way numerical schemes achieve accurate and stable simulations of physical phenomena. It is based on the finite-difference method and simple enough problems that allow also the analytic solutions to be worked out. ODEs as well as hyperbolic, parabolic and elliptic types are treated. The reader also will find a chapter on the techniques of linearization of nonlinear problems. The final chapter applies the material to the equations of gas dynamics. The book builds on simple model equations and, pedagogically, on a host of problems given together with their solutions.

Keywords

  • Aerodynamics
  • Euler Method
  • Finite Difference Method
  • Fluid Flows
  • Gas Dynamics
  • Lax Scheme
  • Mixed-Type Scheme
  • Murman-Cole Method
  • Runge-Kutta Method
  • Stability of Numerical Schemes
  • Upwind Scheme
  • convection
  • fluid dynamics
  • simulation
  • fluid- and aerodynamics

Reviews

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 fluid dynamics (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)

Authors and Affiliations

  • Department of Mechanical and Aeronautical Engineering, University of California, Davis, USA

    Jean-Jacques Chattot

Bibliographic Information

Buying options

eBook
USD 84.99
Price excludes VAT (USA)
  • ISBN: 978-3-662-05064-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 109.99
Price excludes VAT (USA)
Hardcover Book
USD 109.99
Price excludes VAT (USA)