Reexamination of a scale-similarity model for the subgrid-scale flux in the Earth's core

Physics – Fluid Dynamics

Scientific paper

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Subgrid Scale, Scale Similarity, Earth'S Core, Mhd Turbulence

Scientific paper

The effects of small-scales (subgrid-scales) on large-scales (grid-scales) must be properly estimated in large eddy simulation. We reexamine a scale-similarity model based on spatial filter-width dependence in a small region of the Earth's core with periodic boundary conditions proposed by Matsushima (2004). The model, which has been found not to well reproduce spatial distribution of subgrid-scale fluxes, is then improved. Spatial distribution and amplitude of subgrid-scale fluxes estimated by the new model are compared with those obtained through direct numerical simulations (DNS) in confirmation of substantial improvement of the model. Numerical simulations at lower resolution with and without some subgrid-scale models are carried out to demonstrate that the present model is reliable and robust. Heat flux, kinetic energy and magnetic energy averaged over space and time are compared among results of DNS at high and low resolution and of numerical simulations with subgrid-scale models. The present model is found to perform better than the others examined in this study.

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