The equivalence of the Lagrangian-averaged Navier-Stokes-α model and the rational large eddy simulation model in two dimensions

Physics of Fluids

Volumn 23, Issue 9, 2011, Pages

  Nadiga, Balasubramanya T ^a   Bouchet, Freddy ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

LAGRANGE MULTIPLIERS; LOW PASS FILTERS; NAVIER STOKES EQUATIONS; TAYLOR SERIES; VELOCITY;

GRADIENT MODEL; LOW-PASS FILTERING; PADE APPROXIMATION; RATIONAL LES MODEL; REGULARIZATION APPROACH; SCALE VELOCITY; TAYLOR SERIES EXPANSIONS; VELOCITY FIELD;

LARGE EDDY SIMULATION;

EID: 80053398286     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3632084     Document Type: Article

References (33)

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31. As previously discussed, the spatial filter here is the rational approximation to the Gaussian filter as given in (3.12) or equivalently the Helmholtz filter (3.13). The unfiltered velocity is given by the inversion (deconvolution) of the above filter. Although one does not have to invoke the filter itself, when using the turbulence model in an aposteriori sense since the evolution equations are written explicitly in terms of just the large-scale velocity, it is important to conducting a priori tests.
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