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Helicity and energy conservation and dissipation in approximate deconvolution LES models of turbulence. (English) Zbl 1176.76046
In the context of Large Eddy Simulations (LES) approximate deconvolution models of turbulence are considered. Energy and helicity conservation laws are derived and an analysis of the helicity dissipation of the model equations is given. In the absence of viscosity and body forces the helicity is conserved by the presented familiy of approximate deconvolution models. Furtheiniore it is shown that the model helicity is a second order approximation in terms of the filter length of the LES model. Helicity cascades are studied for homogeneous isotropic turbulence and it is shown that the considered approximate deconvolution models predict them correctly.

76F05Isotropic turbulence; homogeneous turbulence
76F65Direct numerical and large eddy simulation of turbulence
76M55Dimensional analysis and similarity (fluid mechanics)
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