Fundamental Algorithms in Computational Fluid Dynamics

1. Front Matter

   Pages i-xii

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2. Introduction

   • Thomas H. Pulliam, David W. Zingg

   Pages 1-8

3. Fundamentals

   • Thomas H. Pulliam, David W. Zingg

   Pages 9-58

4. Governing Equations

   • Thomas H. Pulliam, David W. Zingg

   Pages 59-74

5. An Implicit Finite-Difference Algorithm

   • Thomas H. Pulliam, David W. Zingg

   Pages 75-145

6. An Explicit Finite-Volume Algorithm with Multigrid

   • Thomas H. Pulliam, David W. Zingg

   Pages 147-179

7. Introduction to High-Resolution Upwind Schemes

   • Thomas H. Pulliam, David W. Zingg

   Pages 181-207

8. Back Matter

   Pages 209-211

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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.

• 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
• fluid- and aerodynamics

“The text is supplemented with illustrative exercises that serve to reinforce concepts and methods of treating such problems and to discuss some techniques related to the discretization of equations and treatment, and formulating and solving them. If the book was intended to be used as a text book, its objectives have been largely achieved … . This is a book that can lend important help to those working in the subject.” (Melio Sáenz, Research Gate, researchgate.net, June, 2016)

• NASA Ames Research Center, Mountain View, USA

  Thomas H. Pulliam

• Institute for Aerospace Studies, Universtiy of Toronto, Toronto, Canada

  David W. Zingg

Thomas H. Pulliam NASA Ames Research Center Moffett Field, CA 94035 Mountain View, USA David W. Zingg Institute for Aerospace Studies University of Toronto 35 St. George Street Toronto, Ontario, M5S 1A4.