Difference methods for initial-boundary-value problems and flow around bodies

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Bibliographic Information

Difference methods for initial-boundary-value problems and flow around bodies

Zhu You-lan ... [et al.]

Springer-Verlag , Science Press, c1988

  • : us
  • : gw

Other Title

Initial-boundary-value problems and flow around bodies

Flow around bodies

Ch'u pien chih wen t'i ch'a fen fang fa chi chiao liu

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Note

Translation of: Ch'u pien chih wen t'i ch'a fen fang fa chi chiao liu

"Revised edition of the original Chinese edition published by Science Press Beijing 1980 as the fourth volume in the Academia Sinica's series in pure and applied mathematics"--T.p. verso

Bibliography: p. [573]-595

Includes index

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

Description and Table of Contents

Description

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.

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