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A filtered-wall formulation for large-eddy simulation of wall-bounded turbulence
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10.1063/1.3025884
/content/aip/journal/pof2/20/11/10.1063/1.3025884
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/11/10.1063/1.3025884

Figures

Image of FIG. 1.
FIG. 1.

A two-dimensional schematic of the filtered-boundary formulation for a general flow domain with a boundary given by , which includes both walls and inflow/outflow/free-stream boundaries. A buffer region (shaded), where is imposed, is appended to the flow domain. The filtered velocity is computed by integrating the filter kernel over the extended domain . The empty circles indicate the set of collocation points of any filtered function inside the flow domain , and the filled circles indicate the set of collocation points inside the buffer domain .

Image of FIG. 2.
FIG. 2.

(a) Mean velocity and (b) rms streamwise velocity of turbulent channel flow for , filtered-boundary simulation (—) and DNS (– – –).

Image of FIG. 3.
FIG. 3.

(a) Target streamwise mean velocity profiles and (b) rms values prescribed by the NL boundary condition, in which the velocity field is 0 inside the buffer and the MB boundary condition, in which the velocity field is inside the buffer, compared to the original filtered mean and rms velocity profiles from DNS of turbulent channel flow. Details of the filter and the channel domain are the same as that described in Sec. IV.

Image of FIG. 4.
FIG. 4.

Schematic of the channel flow with buffer regions added in the wall-normal direction on both sides. The velocity field in this extended domain is subjected to a Fourier cutoff filter in all three directions.

Image of FIG. 5.
FIG. 5.

Effect of the boundary terms on the evolution of a Tollmien–Schlichting wave in a channel flow. Shown are (a) filtered velocity, (b) filtered velocity, (c) filtered pressure, (d) pressure gradient, (e) boundary term for equation, and (f) pressure gradient () boundary term. () Real part and (– – –) imaginary part.

Image of FIG. 6.
FIG. 6.

Comparison of filtered DNS (—) data with OLES (– – –) simulation performed using the filtered-boundary approach. Profiles are shown for (a) mean streamwise velocity, (b) rms streamwise velocity, (c) rms wall-normal velocity, and (d) rms spanwise velocity. Here, is the distance from the wall.

Image of FIG. 7.
FIG. 7.

One-dimensional streamwise [(a) and (c)] and spanwise [(b) and (d)] spectra; filtered DNS (—) and OLES with NL boundary condition (– – –). Here, is the distance from the wall.

Image of FIG. 8.
FIG. 8.

Subgrid energy transfer in turbulent channel flow as measured in DNS (Ref. 28). (a) Without wall-normal filtering; total energy transfer , subgrid dissipation , and subgrid transport . (b) Total subgrid energy transfers with and without wall-normal filtering and a posteriori from the filtered-wall LES. Here, is the distance from the wall.

Image of FIG. 9.
FIG. 9.

Average dissipation rate in the channel due to [(a), (c), and (e)] wall stresses and [(b), (d), and (f)] subgrid forces from filtered DNS (—) and LES (– – –). Here, is the distance from the wall.

Image of FIG. 10.
FIG. 10.

Spectra of for (first row) , (second row) , and (third row) at the wall computed from (first column) DNS and (second column) NL boundary condition.

Image of FIG. 11.
FIG. 11.

Comparison of filtered DNS data (—) with the results of LES using the NL boundary condition and OLES with (– – –), OLES with , and OLES with or dynamic Smagorinsky . Profiles are shown for (a) mean streamwise velocity, (b) rms streamwise velocity, (c) rms wall-normal velocity, and (d) rms spanwise velocity. Here, is the distance from the wall.

Tables

Generic image for table
Table I.

Values of (time averaged) obtained from different OLES kernels using the MB boundary condition. for DNS.

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/content/aip/journal/pof2/20/11/10.1063/1.3025884
2008-11-20
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A filtered-wall formulation for large-eddy simulation of wall-bounded turbulence
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/11/10.1063/1.3025884
10.1063/1.3025884
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