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.

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Bibliographic Information

Book Title: Quasi-Gas Dynamic Equations
Authors: Tatiana G. Elizarova
Series Title: Computational Fluid and Solid Mechanics
DOI: https://doi.org/10.1007/978-3-642-00292-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Hardcover ISBN: 978-3-642-00291-5Published: 05 June 2009
Softcover ISBN: 978-3-642-10135-9Published: 22 October 2010
eBook ISBN: 978-3-642-00292-2Published: 12 June 2009
Series ISSN: 1860-482X
Series E-ISSN: 1860-4838
Edition Number: 1
Number of Pages: XIV, 286
Number of Illustrations: 131 b/w illustrations
Topics: Engineering Fluid Dynamics, Fluid- and Aerodynamics, Computational Science and Engineering

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Table of contents (9 chapters)

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