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Quasi-Gas Dynamic Equations

  • Book
  • © 2009

Overview

Authors:
  1. Tatiana G. Elizarova
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  • Presents new models for solving gas- and fluid-dynamic problems
  • Shows many examples of numerical computations
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (9 chapters)

  1. Front Matter

    Pages 1-11
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  2. Construction of Gas-Dynamic Equations by Using Conservation Laws

    • Tatjana G. Elizarova
    Pages 1-22

  3. Elements of Kinetic Gas Theory

    • Tatjana G. Elizarova
    Pages 23-36

  4. Quasi-gas-dynamic Equations

    • Tatjana G. Elizarova
    Pages 37-62

  5. Quasi-gas-dynamic Equations and Coordinate Systems

    • Tatjana G. Elizarova
    Pages 63-74

  6. Numerical Algorithms for Solving Gas-Dynamic Problems

    • Tatjana G. Elizarova
    Pages 75-108

  7. Algorithms for Solving the Quasi-gas-dynamic Equations on Nonstructured Grids

    • Tatjana G. Elizarova
    Pages 109-128

  8. Quasi-hydrodynamic Equations and Flows of Viscous Incompressible Fluids

    • Tatjana G. Elizarova
    Pages 129-165

  9. Quasi-gas-dynamic Equations for Nonequilibrium Gas Flows

    • Tatjana G. Elizarova
    Pages 167-185

  10. Quasi-gas-dynamic Equations for Binary Gas Mixtures

    • Tatjana G. Elizarova
    Pages 187-219

  11. Back Matter

    Pages 1-62
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Keywords

About this book

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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