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A proper-orthogonal-decomposition–based model for the wall layer of a turbulent channel flow
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10.1063/1.3068759
/content/aip/journal/pof2/21/1/10.1063/1.3068759
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/1/10.1063/1.3068759
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Numerical domain—the total channel height is . The plane indicates the outer limit of the region in which the model is derived.

Image of FIG. 2.
FIG. 2.

Relative contribution of the first wall-normal mode (a) to the total turbulent kinetic energy in scale and (b) to the energy spectrum .

Image of FIG. 3.
FIG. 3.

Contribution of the mean velocity field (a) using the quasisteady representation of Aubry et al.; (b) computed in the DNS, limited to the first eigenmode ; (c) computed in the DNS, including all eigenmodes .

Image of FIG. 4.
FIG. 4.

Spectral eddy viscosity : (a) and (b) .

Image of FIG. 5.
FIG. 5.

Magnitude of the spherical component of the small-scale transfer . Plain line: DNS exact contribution; thick dashed line: linear approximation; thin dashed line: quadratic approximation (a) and (b) .

Image of FIG. 6.
FIG. 6.

Temporal evolution for the zero streamwise model with of (a) and (b) .

Image of FIG. 7.
FIG. 7.

Phase portrait of selected POD zero streamwise modes for the zero streamwise subspace model with (a) , as a function of , (b) , as a function of , (c) , as a function of , and (d) , as a function of —the modes are normalized with their corresponding eigenvalue.

Image of FIG. 8.
FIG. 8.

Temporal evolution of (a) and (b) for the modified model .

Image of FIG. 9.
FIG. 9.

Normalized amplitude of the POD modes in the zero streamwise subspace.

Image of FIG. 10.
FIG. 10.

Power density spectrum of the POD zero streamwise modes for the zero streamwise subspace models (a) , (b) , (c) , (d) , and (e) .

Image of FIG. 11.
FIG. 11.

Normalized amplitude of the POD modes .

Image of FIG. 12.
FIG. 12.

Power density spectrum of the POD zero streamwise modes (a) , (b) , (c) , (d) , and (e) .

Image of FIG. 13.
FIG. 13.

Convection velocity defined as (a) in the DNS and (b) in the model.

Image of FIG. 14.
FIG. 14.

Normalized amplitude of the modes (a) model with the mean velocity profile of Aubry et al. and (b) model without any transfer to the unresolved scales.

Image of FIG. 15.
FIG. 15.

Power density spectrum of the POD zero streamwise modes for the model with quasisteady mean velocity profile of Aubry et al.: (a) , (b) , (c) , (d) , and (e) .

Image of FIG. 16.
FIG. 16.

Convection velocity defined as (a) in the model with the mean velocity profile of Aubry et al. and (b) with no small-scale transfer.

Image of FIG. 17.
FIG. 17.

Power density spectrum of the POD zero streamwise modes for the model without transfer to the unresolved scales (a) , (b) , (c) , (d) , and (e) .

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/content/aip/journal/pof2/21/1/10.1063/1.3068759
2009-01-30
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A proper-orthogonal-decomposition–based model for the wall layer of a turbulent channel flow
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/1/10.1063/1.3068759
10.1063/1.3068759
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