Quasi-Gas Dynamic Equations

  • Authors
  • Tatiana G. Elizarova

Part of the Computational Fluid and Solid Mechanics book series (COMPFLUID)

Table of contents

  1. Front Matter
    Pages 1-11
  2. Tatjana G. Elizarova
    Pages 23-36
  3. Tatjana G. Elizarova
    Pages 37-62
  4. Tatjana G. Elizarova
    Pages 63-74
  5. Tatjana G. Elizarova
    Pages 75-108
  6. Tatjana G. Elizarova
    Pages 187-219
  7. Back Matter
    Pages 1-62

About this book


The 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 non-stationary 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 post-graduated students who specialize in numerical gas and liquid dynamics


Finite-difference algorithm Navier-Stokes QGD QHD algorithms construction numerical methods

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-642-00291-5
  • Online ISBN 978-3-642-00292-2
  • Series Print ISSN 1860-482X
  • Series Online ISSN 1860-4838
  • Buy this book on publisher's site