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Elements of Numerical Methods for Compressible Flows

Elements of Numerical Methods for Compressible Flows

Elements of Numerical Methods for Compressible Flows

Doyle D. Knight , Rutgers University, New Jersey
August 2012
Available
Paperback
9781107407022

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    The purpose of this book is to present the basic elements of numerical methods for compressible flows. It is appropriate for advanced undergraduate and graduate students and specialists working in high speed flows. The focus is on the unsteady one-dimensional Euler equations which form the basis for numerical algorithms in compressible fluid mechanics. The author believes it is therefore essential to understand the development and implementation of these algorithms in their original one-dimensional context. The text is supplemented by numerous end-of-chapter exercises.

    • The focus is on the unsteady one-dimensional Euler equations which form the basis for numerical algorithms in compressible fluid mechanics
    • Contains numerous end-of-chapter exercises
    • Balanced presentation of mathematical and physical techniques

    Reviews & endorsements

    Review of the hardback: '… this is a clear and concise book on key elements of an important set of numerical methods for simulating flows with shocks. I am very glad to have it on my bookshelf.' Theoretical and Computational Fluid Dynamics

    See more reviews

    Product details

    August 2006
    Hardback
    9780521554749
    266 pages
    254 × 178 × 16 mm
    0.73kg
    Available

    Table of Contents

    • 1. Governing equations
    • 2. Mathematical nature of 1-D Euler equations
    • 3. 1-D Euler equations
    • 4. Reconstruction
    • 5. Godunov methods
    • 6. Flux vector splitting methods
    • 7. Temporal quadrature
    • 8. TVD methods
    • Index
    • Notes
    • Bibliography.
      Author
    • Doyle D. Knight , Rutgers University, New Jersey