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Abstract: I propose a simple model, based on an analogy to von Neumann artificialviscosity, of turbulent diffusion, heat diffusion and viscosity coefficientsfor use in modeling subgrid turbulent diffusivity in multi-phase numericalhydrodynamics and, more generally, in subgrid turbulent viscosity and thermaltransport. In analogy to the von Neumann artificial viscosity, thesecoefficients explicitly contain the grid size and do not attempt a quantitativemodel of the unresolved turbulence. In order to address the problem that it isoften not known a priori when and where a flow will become turbulent, thecoefficients are set to zero when the flow is not expected to be turbulent onthe basis of a Richardson-Rayleigh-Taylor stability criterion, in analogy tovon Neumann-s setting of artificial viscosity to zero in expanding flows.

Author: J. I. Katz

Source: https://arxiv.org/


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