Quasi-Gas Dynamic Equations

Quasi-Gas Dynamic Equations PDF

Author: Tatiana G. Elizarova

Publisher: Springer Science & Business Media

Published: 2009-06-12

Total Pages: 291

ISBN-13: 3642002927

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The monograph is devoted to modern mathematical models and numerical methods for solving gas- and ?uid-dynamic problems based on them. Two interconnected mathematical models generalizing the Navier–Stokes system are presented; they differ from the Navier–Stokes system by additional dissipative terms with a small parameter as a coef?cient. The new models are called the quasi-gas-dynamic and quasi-hydrodynamic equations. Based on these equations, effective ?nite-difference algorithms for calculating viscous nonstationary ?ows are constructed and examples of numerical computations are presented. The universality, the ef?ciency, and the exactness of the algorithms constructed are ensured by the ful?llment of integral conservation laws and the theorem on entropy balance for them. The book is a course of lectures and is intended for scientists and engineers who deal with constructing numerical algorithms and performing practical calculations of gas and ?uid ?ows and also for students and postgraduate students who specialize in numerical gas and ?uid dynamics.

Systems of Quasilinear Equations and Their Applications to Gas Dynamics

Systems of Quasilinear Equations and Their Applications to Gas Dynamics PDF

Author: Boris Leonidovich Rozhdestvenski_

Publisher: American Mathematical Soc.

Published: 1983-12-31

Total Pages: 700

ISBN-13: 9780821898062

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This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ``Nauka.'' It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.

Molecular Gas Dynamics

Molecular Gas Dynamics PDF

Author: Yoshio Sone

Publisher: Springer Science & Business Media

Published: 2007-10-16

Total Pages: 667

ISBN-13: 081764573X

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This self-contained book is an up-to-date description of the basic theory of molecular gas dynamics and its various applications. The book, unique in the literature, presents working knowledge, theory, techniques, and typical phenomena in rarefied gases for theoretical development and application. Basic theory is developed in a systematic way and presented in a form easily applied for practical use. In this work, the ghost effect and non-Navier–Stokes effects are demonstrated for typical examples—Bénard and Taylor–Couette problems—in the context of a new framework. A new type of ghost effect is also discussed.

Fundamentals of Gas Dynamics

Fundamentals of Gas Dynamics PDF

Author: Robert D. Zucker

Publisher: Matrix Publishers, Incorporated

Published: 1977

Total Pages: 460

ISBN-13:

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Provides all necessary equations, tables, and charts as well as self tests. Included chapters cover reaction propulsion systems and real gas effects. Written and organized in a manner that makes it accessible for self learning.

Systems of Quasilinear Equations and Their Applications to Gas Dynamics

Systems of Quasilinear Equations and Their Applications to Gas Dynamics PDF

Author: Boris Leonidovich Rozhdestvenskiĭ

Publisher:

Published: 1983

Total Pages: 698

ISBN-13: 9781470444693

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This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ""Nauka."" It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.

Differential and Difference Equations with Applications

Differential and Difference Equations with Applications PDF

Author: Sandra Pinelas

Publisher: Springer Nature

Published: 2020-10-21

Total Pages: 754

ISBN-13: 3030563235

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This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019. First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on applications. The book includes studies on boundary value problems; Markov models; time scales; non-linear difference equations; multi-scale modeling; and myriad applications.

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