Methods for the localization of singularities in numerical solutions of gas dynamics problems / E.V. Vorozhtsov, N.N. Yanenko.

By: Vorozhtsov, E. V. (Evgenii Vasilʹevich), 1946-Contributor(s): I︠A︡nenko, N. N. (Nikolaĭ Nikolaevich), autorMaterial type: TextTextLanguage: English Original language: Russian Series: Springer Series in Computational PhysicsCopyright date: New York : Springer-Verlag , 1990Edition: First EditionDescription: x, 406 pages : illustrations ; 24 cmISBN: 9783642647703Uniform titles: Metody lokalizat︠s︡ii osobennosteĭ pri chislennom reshenii zadach gazodinamiki. English Subject(s): Gas dynamics | Dinámica de gas | Numerical analysis | Análisis numéricoDDC classification: 533.2
Partial contents:
Introduction and necessary from the theory of difference schemes for gas dynamics problems -- Differential analysis of shock waves in one-dimensional gas flows -- Differential analyzers of shock waves in two-dimensional gas dynamic computations -- Differential analyzers of contact discontinuities in one-dimensional gas flows -- Optimization techniques of the discontinuities localization difference solution refinement in the neighborhood of strong discontinuities -- Classification of singularities in gas flows as the pattern recognition problem.
Abstract: 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.
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Translation of: Metody lokalizat︠s︡ii osobennosteĭ pri chislennom reshenii zadach gazodinamiki.

Includes bibliographical references (p. [375]-399).

Introduction and necessary from the theory of difference schemes for gas dynamics problems -- Differential analysis of shock waves in one-dimensional gas flows -- Differential analyzers of shock waves in two-dimensional gas dynamic computations -- Differential analyzers of contact discontinuities in one-dimensional gas flows -- Optimization techniques of the discontinuities localization difference solution refinement in the neighborhood of strong discontinuities -- Classification of singularities in gas flows as the pattern recognition problem.

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.

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