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Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies

  • Book
  • © 1988

Overview

Authors:
  1. Zhu You-lan

    1. Computing Center, Chinese Academy of Sciences, Beijing, The People’s Republic of China

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  2. Chen Bing-mu

    1. Computing Center, Chinese Academy of Sciences, Beijing, The People’s Republic of China

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  3. Zhong Xi-chang

    1. Computing Center, Chinese Academy of Sciences, Beijing, The People’s Republic of China

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  4. Zhang Zuo-min

    1. Computing Center, Chinese Academy of Sciences, Beijing, The People’s Republic of China

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-VIII
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  3. Inviscid Supersonic Flow Around Bodies

    1. Front Matter

      Pages 209-234
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    2. Inviscid Steady Flow

      • Zhu You-lan, Chen Bing-mu, Zhong Xi-chang, Zhang Zuo-min
      Pages 235-336

    3. Calculation of Supersonic Flow around Blunt Bodies

      • Zhu You-lan, Chen Bing-mu, Zhong Xi-chang, Zhang Zuo-min
      Pages 337-394

    4. Calculation of Supersonic Conical Flow

      • Zhu You-lan, Chen Bing-mu, Zhong Xi-chang, Zhang Zuo-min
      Pages 395-422

    5. Solution of Supersonic Regions of Flow around Combined Bodies

      • Zhu You-lan, Chen Bing-mu, Zhong Xi-chang, Zhang Zuo-min
      Pages 423-572

  4. Back Matter

    Pages 573-600
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Keywords

About this book

Since the appearance of computers, numerical methods for discontinuous solutions of quasi-linear hyperbolic systems of partial differential equations have been among the most important research subjects in numerical analysis. The authors have developed a new difference method (named the singularity-separating method) for quasi-linear hyperbolic systems of partial differential equations. Its most important feature is that it possesses a high accuracy even for problems with singularities such as schocks, contact discontinuities, rarefaction waves and detonations. Besides the thorough description of the method itself, its mathematical foundation (stability-convergence theory of difference schemes for initial-boundary-value hyperbolic problems) and its application to supersonic flow around bodies are discussed. Further, the method of lines and its application to blunt body problems and conical flow problems are described in detail. This book should soon be an important working basis for both graduate students and researchers in the field of partial differential equations as well as in mathematical physics.

Authors and Affiliations

  • Computing Center, Chinese Academy of Sciences, Beijing, The People’s Republic of China

    Zhu You-lan, Chen Bing-mu, Zhong Xi-chang, Zhang Zuo-min

Bibliographic Information

  • Book Title: Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies

  • Authors: Zhu You-lan, Chen Bing-mu, Zhong Xi-chang, Zhang Zuo-min

  • DOI: https://doi.org/10.1007/978-3-662-06707-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-662-06709-3Published: 25 September 2013

  • eBook ISBN: 978-3-662-06707-9Published: 29 June 2013

  • Edition Number: 1

  • Number of Pages: VIII, 602

  • Additional Information: Jointly published with Science Press, Beijing. Revised edition of the original Chinese edition with the title: Chubian-zhi-wenti-cha-fen-fang-fa-ji-jiao-liu

  • Topics: Numerical Analysis, Analysis, Theoretical, Mathematical and Computational Physics, Math. Applications in Chemistry, Computational Intelligence

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