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

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

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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.Springfield, J. F., Steady, inviscid flow of a relaxing gas about a blunt body with supersonic velocity, In: a€œProceedings of the 1964 Heat ... Kao, H. C., A new technique for the direct calculation of blunt-body flow fields, AIAA J., 3 (1965), 1, 161a€“163. Archer, R. D., Supersonic and hypersonic flow of an ideal gas around an elliptic nose, AIAA J., 3 (1965), 5, 987a€“988. ... Kuby, W., Foster, R. M., Byron, S. R. and Holt, M., Symmetrical equilibrium flow past a blunt-body at superorbital reentryanbsp;...


Title:Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies
Author: You-lan Zhu, Xi-chang Zhong, Bing-mu Chen, Zuo-min Zhang
Publisher:Springer Science & Business Media - 2013-06-29
ISBN-13:

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