Application of the Conservative Splitting Method for Investigating Near Continuum Gas Flows

  • V. V. Aristov
Part of the Fluid Mechanics and its Applications book series (FMIA, volume 60)


The principal of the hydrodynamic conservativity (the hydrodynamic compliance) as mentioned in is the basis of constructing the conservative splitting method (CSM), and this approach results in a natural and truly description of a flow by means of the macroscopic equation. It is also valid for near continuum regimes considered by means of the kinetic equation. Generally speaking, it is possible to describe such flows using the same spatial steps (less than the characteristic free path) as for flows at moderate Knudsen numbers. However, for these flow regimes the requirements on computer resources are severe and increase at least proportionally to the inverse Knudsen number.


Boltzmann Equation Knudsen Number Implicit Scheme Splitting Scheme Collision Integral 
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© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • V. V. Aristov
    • 1
  1. 1.Computing Center of the Russian Academy of SciencesMoscowRussia

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