Dissipation of the Kelvin–Helmholts Waves in a Relaxing Molecular Gas

  • Yurii N. GrigoryevEmail author
  • Igor V. Ershov
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 117)


This chapter presents the results of numerical simulations of the full cycle of evolution of the Kelvin -Helmholtz instability, which adequately reproduce the local mechanism of turbulization of the free shear flow. The problem is considered both within the frameworks of the Navier-Stokes equations for a moderate level of thermal nonequilibrium and using the full system of equations of two-temperature aerodynamics for a vibrationally excited gas. Plane waves preliminary calculated by numerical solution of appropriate linearized systems of inviscid gas-dynamic equations are used as initial perturbations. The known pattern of the evolution of the “cat’s-eye” large-scale vortex structure typical for the emergence and development of inertial instability is reproduced in detail. The calculated results show the enhancement of dissipation of the kinetic energy of the structure on a background of relaxation process.


Mach Number Vibrational Mode Vortex Structure Bulk Viscosity Initial Perturbation 
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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute of Computational TechnologiesRussian Academy of SciencesNovosibirskRussia

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