The Method of Characteristics for Three-dimensional Real-gas Flows
The Method of Characteristics for Three-dimensional Real-gas Flows

Author: Charles R. Strom

Publisher:

Published: 1967

Total Pages: 136

ISBN-13:

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The method of characteristics is formulated for the computation of the supersonic flow of an inviscid, reacting gas over a smooth three-dimensional body. Various methods of constructing networks of bicharacteristic lines are examined from the point of view of numerical stability and accuracy. A new method of forming the network, which consists of projecting forward along streamlines from data points on specified data planes, is found to be most easily adopted to the particular requirements of nonequilibrium chemistry. The general method was coded for the IBM 7090 computer and the program demonstrated for the case of an ideal gas. Calculations were made for the case of an ideal gas. Calculations were made for the flow about a spherical-tip 15 degree half-angle cone at 10 degree angle of attack and a generalized elliptical body at zero incidence. Since the program yields the pressure distribution along specified streamlines, it is straightforward, in principle, to link it to a finite-rate chemistry stream tube program to treat three-dimensional, nonequilibrium flows. (Author).

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

Author: You-lan Zhu

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 606

ISBN-13: 3662067072

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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.

Progress in Aeronautical Sciences
Progress in Aeronautical Sciences

Author: D. Küchemann

Publisher: Elsevier

Published: 2014-12-02

Total Pages: 481

ISBN-13: 1483224880

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Progress in Aeronautical Sciences, Volume 9 presents the vibrational characteristics of certain aircraft. This book supplements the comprehensive account of matrix methods of structural analysis. Organized into five chapters, this volume begins with an overview of the different schemes of the numerical method of characteristics for calculating three-dimensional steady supersonic gas flow about bodies moving at incidence. This text then examines the flow of a perfect gas and provides the generalization for the case of equilibrium and non-equilibrium flow of real gas. Other chapters consider the various aspects of the aerodynamic design of aircraft and discuss the application of modern computer methods to fluid mechanics. This book discusses as well the prospects for further development of the existing types and for the establishment of the as yet hypothetical types of aircraft. The final chapter shows how the evolution of the aerodynamic shape leads to a complete spectrum of major types of aircraft. This book is a valuable resource for engineers.