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Numerical Solutions of the Euler Equations for Steady Flow Problems

  • Book
  • © 1992

Overview

Authors:
  1. Albrecht Eberle
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  2. Arthur Rizzi

    1. Stockholm, Sweden

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  3. Ernst Heinrich Hirschel

    1. München, Germany

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Part of the book series: Notes on Numerical Fluid Mechanics (NONUFM, volume 48)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-XV
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  2. Historical Origins of the Inviscid Model

    • Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel
    Pages 1-25

  3. The Euler Equations

    • Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel
    Pages 27-45

  4. Fundamentals of Discrete Solution Methods

    • Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel
    Pages 47-87

  5. The Finite Volume Concept

    • Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel
    Pages 89-121

  6. Centered Differencing

    • Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel
    Pages 123-143

  7. Principles of Upwinding

    • Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel
    Pages 145-254

  8. Convergence to Steady State

    • Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel
    Pages 255-276

  9. A Note on the Use of Supercomputers

    • Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel
    Pages 277-279

  10. Coupling of Euler Solutions to Viscous Models

    • Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel
    Pages 281-292

  11. Modelling of Vortex Flows: Vorticity in Euler Solutions

    • Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel
    Pages 293-322

  12. Methods in Practical Applications

    • Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel
    Pages 323-415

  13. Future Prospects

    • Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel
    Pages 417-427

  14. Back Matter

    Pages 429-449
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Keywords

About this book

The last decade has seen a dramatic increase of our abilities to solve numerically the governing equations of fluid mechanics. In design aerodynamics the classical potential-flow methods have been complemented by higher modelling-level methods. Euler solvers, and for special purposes, already Navier-Stokes solvers are in use. The authors of this book have been working on the solution of the Euler equations for quite some time. While the first two of us have worked mainly on algorithmic problems, the third has been concerned off and on with modelling and application problems of Euler methods. When we started to write this book we decided to put our own work at the center of it. This was done because we thought, and we leave this to the reader to decide, that our work has attained over the years enough substance in order to justify a book. The problem which we soon faced, was that the field still is moving at a fast pace, for instance because hyper­ sonic computation problems became more and more important.

Authors and Affiliations

  • Stockholm, Sweden

    Arthur Rizzi

  • München, Germany

    Ernst Heinrich Hirschel

Bibliographic Information

  • Book Title: Numerical Solutions of the Euler Equations for Steady Flow Problems

  • Authors: Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel

  • Series Title: Notes on Numerical Fluid Mechanics

  • DOI: https://doi.org/10.1007/978-3-663-06831-0

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1992

  • Softcover ISBN: 978-3-528-07634-4Published: 01 January 1992

  • eBook ISBN: 978-3-663-06831-0Published: 17 April 2013

  • Series ISSN: 0179-9614

  • Edition Number: 1

  • Number of Pages: XV, 448

  • Number of Illustrations: 236 b/w illustrations

  • Topics: Numerical Analysis, Number Theory, Mathematics, general

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