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In Large-Eddy Simulations, the instantaneous velocity U(x,t) is decomposed into a filtered component Ucomponent Ū(x,t) and a residual component u'(x,t). The filtered velocity component represents the large scale motions. The filtered equations for the filtered velocity can be obtained from the Navier-Stokes equations. Hence, in LES the large scale turbulent motions are exactly solved while the small scale turbulent motions are modeled. 

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