Numerical examination of Kelvin-Helmholtz instability with self gravitation and cosmologic expansion: A contribution to the formation of structure in the Universe

Astronomy and Astrophysics – Astrophysics

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Astrophysics, Cosmology, Expansion, Gravitation, Gravitation Theory, Intergalactic Media, Kelvin-Helmholtz Instability, Universe, Adiabatic Conditions, Approximation, Earth Planetary Structure, Galaxies, Hydrodynamic Equations, Poisson Equation, Shear Flow, Simulation, Stars

Scientific paper

A simulation program which solves the hydrodynamic fundamental equations and the Poisson equation of the gravitational field in a two dimensional field in time is presented. An analytical approximation and a simulation show that shear flows are unstable in these conditions for adiabatic perturbations. The development of the Kelvin-Helmholtz instability is examined without hydrodynamic pressure with regard to astrophysical applications in interstellar and intergalactic fields. Shear flows are examined in a Universe in expansion. It is shown that the Universe expansion exerts an attenuating influence on the development of small velocity perturbations which are perpendicular to shear flow. The examinations confirm the theory that small structures at first and greater structures, such as galaxies, later on, are formed.

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