Continuum hydrodynamical equations for multiphase astrophysical flows

Statistics – Computation

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Hydrodynamics, Interstellar Matter, Molecular Clouds, Multiphase Flow, Plasma Jets, Computational Astrophysics, Computational Fluid Dynamics, Continuity (Mathematics), H I Regions, H Ii Regions, Spiral Galaxies

Scientific paper

We present a formalism for averaging mutually interacting multiphase hydrodynamical flows. Only averaging over space is discussed. The outcome of this formulation is a set of nonlinear first-order integrodifferential equations. We then apply the formalism to the problem of H I regions immersed in H II regions and obtain approximated equations. The H I regions are treated as a dilute suspension of fluid spheres immersed in H II continuum. The equations include terms and coefficients that have to be evaluated from a 'mesoscopic' hydrodynamical theory. The hydrodynamics of the flow past a single cloud, which is defined here as the 'mesoscale' of a 'fluid particle' for the system under consideration, should provide the input physics to the formalism presented here.

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