Simulating Argon, Helium, and Nitrogen Shock Waves

Елизарова, Т. Г.; Shirokov, I. A.

doi:10.1007/s10598-005-0027-4

Cited by 2 publications

(2 citation statements)

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“…The material for this appendix is based on [57,62,68,70,89,90]. The obtained data improve the existing ideas of applicability limits of macroscopic equations for monoatom and two-atom rarefied gas flows.…”

Section: Construction Of Moment Equationsmentioning

confidence: 56%

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Quasi-Gas Dynamic Equations

Елизарова

2009

Computational Fluid and Solid Mechanics

181

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The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: deblik, BerlinPrinted on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com) PrefaceThe monograph is devoted to modern mathematical models and numerical methods for solving gas-and fluid-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 coefficient. The new models are called the quasi-gas-dynamic and quasi-hydrodynamic equations. Based on these equations, effective finite-difference algorithms for calculating viscous nonstationary flows are constructed and examples of numerical computations are presented. The universality, the efficiency, and the exactness of the algorithms constructed are ensured by the fulfillment 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 fluid flows and also for students and postgraduate students who specialize in numerical gas and fluid dynamics. Moscow Tatiana Elizarova December 2008 v Contents

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Section: Construction Of Moment Equationsmentioning

confidence: 56%

“…The expressions for Z rot are presented, e.g., in [28,212]. These expressions for Z rot were used for QGD calculations of nonequilibrium flows in underexpended jets CO 2 [109] and N 2 [146] and also for the numerical modelling of the shock wave structure in nitrogen [89]. For example, for nitrogen, we have…”

Section: Volume Viscosity Coefficientmentioning

confidence: 99%