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

✍ Scribed by Zhu You-lan, Chen Bing-mu, Zhong Xi-chang, Zhang Zuo-min (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1988
• Tongue: English
• Leaves: 606
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-VIII
Front Matter....Pages 1-1
Numerical Methods for Initial-Boundary-Value Problems for First Order Quasilinear Hyperbolic Systems in Two Independent Variables....Pages 2-170
Numerical Methods for a Certain Class of Initial-Boundary-Value Problems for the First Order Quasilinear Hyperbolic Systems in Three Independent Variables....Pages 171-193
Numerical Schemes for Certain Boundary-Value Problems of Mixed-Type and Elliptical Equations....Pages 194-234
Front Matter....Pages 209-234
Inviscid Steady Flow....Pages 235-336
Calculation of Supersonic Flow around Blunt Bodies....Pages 337-394
Calculation of Supersonic Conical Flow....Pages 395-422
Solution of Supersonic Regions of Flow around Combined Bodies....Pages 423-572
Back Matter....Pages 573-600

✦ Subjects

Numerical Analysis;Analysis;Theoretical, Mathematical and Computational Physics;Math. Applications in Chemistry;Computational Intelligence