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Quasi-Gas Dynamic Equations

Tatiana G. Elizarova (Autor)

Buch | Hardcover

XIV, 286 Seiten

2009 | 2009
Springer Berlin (Verlag)
978-3-642-00291-5 (ISBN)

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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.

Construction of Gas-Dynamic Equations by Using Conservation Laws.- Foundations of Kinetic Gas Theory.- Quasi-Gas-Dynamic Equations.- Quasi-Gas-Dynamic Equations.- Numerical Algorithms for Solving Problems of Gas Dynamics.- Algorithms for Solving the Quasi-Gas-Dynamic Equations on Nonstructured Grids.- Quasi-Hydrodynamic Equations and Flows of Viscous Incompressible Fluids.- Quasi-Gas-Dynamic Equations for Nonequilibrium Gas Flows.- Quasi-Gas-Dynamic Equations for Binary Gas Mixtures.- Appendices.

Erscheint lt. Verlag	5.6.2009
Reihe/Serie	Computational Fluid and Solid Mechanics
Zusatzinfo	XIV, 286 p. 131 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik
	Technik ► Maschinenbau
Schlagworte	algorithms • Construction • Finite-difference algorithm • fluid- and aerodynamics • Navier-Stokes • Numerical Methods • QGD • QHD
ISBN-10	3-642-00291-9 / 3642002919
ISBN-13	978-3-642-00291-5 / 9783642002915
Zustand	Neuware