A new eddy-viscosity model for large eddy simulation in helical turbulence

In isotropic helical turbulence, a new single helical model is suggested for large eddy simulation. Based on the Kolmogrov's hypotheses, the helical model is proposed according to the balance of helicity dissipation and the average of helicity flux across the inertial range, and the helical model is a kind of eddy viscosity model. The coefficient of the helical model is constant and can be also determined dynamically. Numerical simulations of forced and decaying isotropic helical turbulence demonstrate that the helical model predicts the energy and helicity evolution well. The statistical character of the helical model is closer to the DNS results.In a priori test, the energy and helicity dissipations of the helical model also show a good results. In general, the helical model has the advantage contrast with the dynamic Smogorinsky and mixed models.

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