Methods for the Localization of Singularities in Numerical Solutions of Gas Dynamics Problems (Scientific Computation) - Tapa blanda

Vorozhtsov, E.V. V.; Yanenko, N.N.

 
9783642647703: Methods for the Localization of Singularities in Numerical Solutions of Gas Dynamics Problems (Scientific Computation)
Tapa blanda
ISBN 10: 3642647707 ISBN 13: 9783642647703
Editorial: Springer, 2011

Sinopsis

As a result of the numerical simulation of multidimensional gas dynamics problems on a computer, the output information is obtained in the form of immense arrays of numerical data. In this connection, there arises the problem of extracting the actually needed information from these arrays; in other words, it is necessary to solve the problem of information compression. In particular, the numerical solution of gas dynamics problems often aims at the information on the solution singularities-the shock waves, contact interfaces, slip lines, etc. Our book is devoted to the development and investigation of accuracy of the algorithms for the localization of such singularities. In addi­ tion, the questions of development of the algorithms for the classification of singularities into several types (on the basis of shock-capturing numerical solutions of two-dimensional gas dynamics problems) are considered for the first time in the monographic literature. For this purpose, some ideas and methods of the modern theory of digital-image processing and of the pattern recognition theory are used. The information obtained at the output of the systems of the singularities classification presented in this book is rich in content, because it contains both physical and geometrical characteristics of recognized objects. Therefore, such "intellectual" systems of information ex­ traction may be used in the expert systems of automated design of aero­ dynamic bodies which meet some optimality requirements. This is, in our opinion, very attractive from the point of view of applications.

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Reseña del editor

As a result of the numerical simulation of multidimensional gas dynamics problems on a computer, the output information is obtained in the form of immense arrays of numerical data. In this connection, there arises the problem of extracting the actually needed information from these arrays; in other words, it is necessary to solve the problem of information compression. In particular, the numerical solution of gas dynamics problems often aims at the information on the solution singularities-the shock waves, contact interfaces, slip lines, etc. Our book is devoted to the development and investigation of accuracy of the algorithms for the localization of such singularities. In addi­ tion, the questions of development of the algorithms for the classification of singularities into several types (on the basis of shock-capturing numerical solutions of two-dimensional gas dynamics problems) are considered for the first time in the monographic literature. For this purpose, some ideas and methods of the modern theory of digital-image processing and of the pattern recognition theory are used. The information obtained at the output of the systems of the singularities classification presented in this book is rich in content, because it contains both physical and geometrical characteristics of recognized objects. Therefore, such "intellectual" systems of information ex­ traction may be used in the expert systems of automated design of aero­ dynamic bodies which meet some optimality requirements. This is, in our opinion, very attractive from the point of view of applications.

Reseña del editor

This is the first monograph to illustrate how ideas and tools of pattern recognition may be effectively used in computational fluid dynamics. A variety of methods to study the localisation of singularities of shock waves is applied to classify various singularities which may be present in numerical solutions of two dimensional problems. The author introduces the differential approximation method, variational calculus and optimization theory to study the accuracy of localisation techniques. The book provides a systematic approach to studying the accuracy of various shock localisation techniques and to the classification of singularities. It should help the computational aerodynamicist in choosing an appropriate approach and should lead the reader to a better understanding of the physical phenomena modelled on modern powerful computers. The book is a revised and widely expanded second edition of a book published in Russian in 1985. It addresses researchers and students in mathematics, physics and engineering.

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Editorial
Springer
Año de publicación
2011
Idioma
Inglés
ISBN 10 
3642647707
ISBN 13 
9783642647703
Encuadernación
Tapa blanda
Número de páginas
420
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

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9783540503637: Methods for the Localization of Singularities in Numerical Solutions of Gas Dynamics Problems

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ISBN 10:  3540503633 ISBN 13:  9783540503637
Editorial: Springer-Verlag Berlin and Heide..., 1990
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