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Fundamental Algorithms in Computational Fluid Dynamics

  • Thomas H. Pulliam
  • David W. Zingg

Part of the Scientific Computation book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Thomas H. Pulliam, David W. Zingg
    Pages 1-8
  3. Thomas H. Pulliam, David W. Zingg
    Pages 9-58
  4. Thomas H. Pulliam, David W. Zingg
    Pages 59-74
  5. Thomas H. Pulliam, David W. Zingg
    Pages 75-145
  6. Thomas H. Pulliam, David W. Zingg
    Pages 147-179
  7. Thomas H. Pulliam, David W. Zingg
    Pages 181-207
  8. Back Matter
    Pages 209-211

About this book

Introduction

Intended as a textbook for courses in computational fluid dynamics at the senior undergraduate or graduate level, this book is a follow-up to the book Fundamentals of Computational Fluid Dynamics by the same authors, which was published in the series Scientific Computation in 2001. Whereas the earlier book concentrated on the analysis of numerical methods applied to model equations, this new book concentrates on algorithms for the numerical solution of the Euler and Navier-Stokes equations. It focuses on some classical algorithms as well as the underlying ideas based on the latest methods. A key feature of the book is the inclusion of programming exercises at the end of each chapter based on the numerical solution of the quasi-one-dimensional Euler equations and the shock-tube problem. These exercises can be included in the context of a typical course, and sample solutions are provided in each chapter, so readers can confirm that they have coded the algorithms correctly.

Keywords

Computational Fluid Dynamics Textbook Finite-Difference Methods Finite-Volume Methods Linear Convection Equation Numerical Solution of Euler Equation Numerical Solution of Navier-Stokes Equation Solving the Euler Equation Solving the Navier-Stokes Equation Steady Flow Computations Thin-Layer Approximation Time-Marching Methods Unsteady Flow Computations Upwind Schemes

Authors and affiliations

  • Thomas H. Pulliam
    • 1
  • David W. Zingg
    • 2
  1. 1.NASA Ames Research CenterMountain ViewUSA
  2. 2.Institute for Aerospace StudiesUniverstiy of TorontoTorontoCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-05053-9
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-05052-2
  • Online ISBN 978-3-319-05053-9
  • Series Print ISSN 1434-8322
  • Buy this book on publisher's site
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