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

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

£72.00
Unavailable. This title is Out of Print.
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Synopsis

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."

Science & MathematicsMathematicsScience & MathematicsMathematicsMathematical foundationsNumber systemsScience & MathematicsPhysicsClassical mechanicsFluid mechanicsScience & MathematicsPhysicsMathematical physicsScience & MathematicsPhysicsNuclear structure physicsScience & MathematicsPhysicsStatistical physics Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 11/01/1990 ISBN-13: 9783540503637  Details: Type: Hardback Format: Books
Availability: Unavailable. This title is Out of Print.  

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