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

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

• ISBN13: 9783642647703
• ISBN10: 3642647707
• Edition: Reprint
• Format: Paperback
• Copyright: 2012-07-31
• Publisher: Springer Nature

Summary

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.