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

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

Hardcover

ISBN 10: 3540503633 ISBN 13: 9783540503637

Publisher: Springer-Verlag, 1989

Synopsis

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.

Edition details

• Publisher: Springer-Verlag
• Publication date: 1989
• Language: English
• ISBN 10: 3540503633
• ISBN 13: 9783540503637
• Binding: Hardcover
• Number of pages: 406