Recent Contributions to the Method of Characteristics for Three-dimensional Problems in Gas Dynamics

Recent Contributions to the Method of Characteristics for Three-dimensional Problems in Gas Dynamics
Author: Maurice Holt
Publisher:
Total Pages: 44
Release: 1974
Genre: Gas dynamics
ISBN:

The numerical method of characteristics for problems in three or more independent variables are reviewed. Particular emphasis is laid on recent methods developed in Germany; notably the optimal characteristic method of Bruhn + Haack and Schaetz, and the near characteristics method of Sauer. In all these methods, difference equations are established in their most compact form and, at each point, all outer directional derivatives are in one plane. In Sauer's method, this plane is always parallel to a fixed plane. The methods are all derived rigorously and satisfy conditions of equivalence, uniqueness, and convergence. The optimal characteristics method has been applied very successfully to the problem of unsteady flow through a Laval nozzle. (Modified author abstract).

Computational Methods for Fluid Flow

Computational Methods for Fluid Flow
Author: Roger Peyret
Publisher: Springer Science & Business Media
Total Pages: 364
Release: 2012-12-06
Genre: Science
ISBN: 3642859526

In developing this book, we decided to emphasize applications and to provide methods for solving problems. As a result, we limited the mathematical devel opments and we tried as far as possible to get insight into the behavior of numerical methods by considering simple mathematical models. The text contains three sections. The first is intended to give the fundamen tals of most types of numerical approaches employed to solve fluid-mechanics problems. The topics of finite differences, finite elements, and spectral meth ods are included, as well as a number of special techniques. The second section is devoted to the solution of incompressible flows by the various numerical approaches. We have included solutions of laminar and turbulent-flow prob lems using finite difference, finite element, and spectral methods. The third section of the book is concerned with compressible flows. We divided this last section into inviscid and viscous flows and attempted to outline the methods for each area and give examples.

Numerical Methods for Predicting Subsonic, Transonic and Supersonic Flow

Numerical Methods for Predicting Subsonic, Transonic and Supersonic Flow
Author: Thomas Darwin Taylor
Publisher:
Total Pages: 56
Release: 1974
Genre: Aerodynamics
ISBN:

The methods available for numerical computation of subsonic, transonic and supersonic flows are discussed and comments are included on the characteristics of the popular methods. Both inviscid and viscous computation methods are addressed. A brief account of the basic approaches for developing methods initiates the discussion. Also included is a general summary of the state of the art of computational methods along with suggested approaches for solving problems in each area. The report is included with recommendations for future study and development. (Author).

Hypersonic and High Temperature Gas Dynamics

Hypersonic and High Temperature Gas Dynamics
Author: John David Anderson
Publisher: AIAA
Total Pages: 710
Release: 1989
Genre: Science
ISBN: 9781563474590

This book is a self-contained text for those students and readers interested in learning hypersonic flow and high-temperature gas dynamics. It assumes no prior familiarity with either subject on the part of the reader. If you have never studied hypersonic and/or high-temperature gas dynamics before, and if you have never worked extensively in the area, then this book is for you. On the other hand, if you have worked and/or are working in these areas, and you want a cohesive presentation of the fundamentals, a development of important theory and techniques, a discussion of the salient results with emphasis on the physical aspects, and a presentation of modern thinking in these areas, then this book is also for you. In other words, this book is designed for two roles: 1) as an effective classroom text that can be used with ease by the instructor, and understood with ease by the student; and 2) as a viable, professional working tool for engineers, scientists, and managers who have any contact in their jobs with hypersonic and/or high-temperature flow.