Print Email Facebook Twitter Sweeping has no effect on renormalized turbulent viscosity Part of: 15th EuropeanTurbulence Conference 2015 (ETC15)· list the conference papers Title Sweeping has no effect on renormalized turbulent viscosity Author Verma, M.K. Kumar, A. Date 2015-08-28 Abstract We perform renormalization group analysis (RG) of the Navier-Stokes equation in the presence of constant mean velocity field $\mathbf U_0$, and show that the renormalized viscosity is unaffected by $\mathbf U_0$, thus negating the ``sweeping effect", proposed by Kraichnan [Phys. Fluids {\bf 7}, 1723 (1964)] using random Galilean invariance. Using direct numerical simulation, we show that the correlation functions $\langle {\mathbf u} ({\mathbf k}, t){\mathbf u}({\mathbf k}, t+\tau) \rangle$ for $\mathbf U_0 =0$ and $\mathbf U_0 \ne 0$ differ from each other, but the renormalized viscosity for the two cases are the same. Our numerical results are consistent with the RG calculations. To reference this document use: http://resolver.tudelft.nl/uuid:518decd2-39ce-4ad9-a6ff-1e7a92724135 Part of collection Conference proceedings Document type conference paper Rights (c) 2015 the Authors Files PDF 119.pdf 208.27 KB Close viewer /islandora/object/uuid:518decd2-39ce-4ad9-a6ff-1e7a92724135/datastream/OBJ/view