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Frequency-velocity-scalar filtered mass density function for large eddy simulation of turbulent flows
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10.1063/1.3153907
/content/aip/journal/pof2/21/7/10.1063/1.3153907
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/7/10.1063/1.3153907
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The instantaneous isosurface of the filtered frequency at time .

Image of FIG. 2.
FIG. 2.

Consistency of instantaneous filtered frequency obtained from FD and MC at time . The solid and dashed lines denote the linear regression and the 45° lines, respectively. denotes the correlation coefficient. The circles denote the filtered frequency values on the FD grid points.

Image of FIG. 3.
FIG. 3.

Cross-stream variation of particle frequency values near the plane at time . The white and black circles denote particles originated in low-speed and high-speed streams, respectively. The squares denote the frequency [Eq. (15)] values on the FD grid points.

Image of FIG. 4.
FIG. 4.

Reynolds-averaged filtered (solid line) and SGS mixing (dashed line) frequency values obtained from FVS-FMDF simulations at time .

Image of FIG. 5.
FIG. 5.

Particle streamwise velocity values obtained from simulations with the SGS mixing frequency defined as (a) conditional filtered frequency , (b) , and (c) [Eq. (15)]. These particles are collected near the plane at time .

Image of FIG. 6.
FIG. 6.

Reynolds-averaged (a) filtered streamwise velocity and (b) SGS kinetic energy at time . The results obtained from simulations with the SGS mixing frequency defined as (solid line), (dashed line), and (symbol ◇). The black circles denote filtered DNS data.

Image of FIG. 7.
FIG. 7.

Cross-stream variation of Reynolds-averaged filtered (a) streamwise velocity and (b) passive scalar; temporal variation of (c) momentum thickness and (d) scalar thickness of the shear layer. The predictions are obtained from DNS, the FVS-FMDF, and the Smagorinsky model. The dashed lines denote the Smagorinsky predictions. The symbols denote (▽) FVS-FMDF , (◇) FVS-FMDF , (◻) FVS-FMDF , (△) FVS-FMDF , and (●) filtered DNS data.

Image of FIG. 8.
FIG. 8.

Temporal variation of (a) resolved kinetic energy, (b) SGS dissipation, (c) resolved dissipation, and (d) backscatter predicted by DNS and LES using the FVS-FMDF and the Smagorinsky model. The dashed lines denote the Smagorinsky model predictions. The symbols denote (▽) FVS-FMDF (, ), (◇) FVS-FMDF , (◻) FVS-FMDF , (△) FVS-FMDF , and (●) filtered DNS data.

Image of FIG. 9.
FIG. 9.

Reynolds-averaged SGS kinetic energy and components of SGS stress and SGS scalar flux tensors obtained at time . The dashed lines denote the Smagorinsky model predictions. The symbols denote (▽) FVS-FMDF (, ), (◇) FVS-FMDF , (◻) FVS-FMDF , (△) FVS-FMDF , and (●) filtered DNS data.

Image of FIG. 10.
FIG. 10.

Reynolds-averaged SGS kinetic energy and components of SGS stress and SGS scalar flux tensors obtained at time . The dashed lines denote the Smagorinsky model predictions. The symbols denote (▽) FVS-FMDF , (◇) FVS-FMDF , (◻) FVS-FMDF , (△) FVS-FMDF , and (●) filtered DNS data.

Image of FIG. 11.
FIG. 11.

Reynolds-averaged resolved kinetic energy and components of resolved stress and resolved scalar flux tensors obtained at time . The dashed lines denote the Smagorinsky model predictions. The symbols denote (▽) FVS-FMDF , (◇) FVS-FMDF , (◻) FVS-FMDF , (△) FVS-FMDF , and (●) filtered DNS data.

Image of FIG. 12.
FIG. 12.

Reynolds-averaged resolved kinetic energy and components of resolved stress and resolved scalar flux tensors obtained at time . The dashed lines denote the Smagorinsky model predictions. The symbols denote (▽) FVS-FMDF , (◇) FVS-FMDF , (◻) FVS-FMDF , (△) FVS-FMDF , and (●) filtered DNS data.

Image of FIG. 13.
FIG. 13.

Reynolds-averaged total kinetic energy and components of total stress and total scalar flux tensors obtained at time . The dashed lines denote the Smagorinsky model predictions. The symbols denote (▽) FVS-FMDF , (◇) FVS-FMDF , (◻) FVS-FMDF , (△) FVS-FMDF , and (●) filtered DNS data.

Image of FIG. 14.
FIG. 14.

Reynolds-averaged total kinetic energy and components of total stress and total scalar flux tensors obtained at time . The dashed lines denote the Smagorinsky model predictions. The symbols denote (▽) FVS-FMDF , (◇) FVS-FMDF , (◻) FVS-FMDF , (△) FVS-FMDF , and (●) filtered DNS data.

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/content/aip/journal/pof2/21/7/10.1063/1.3153907
2009-07-15
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Frequency-velocity-scalar filtered mass density function for large eddy simulation of turbulent flows
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/7/10.1063/1.3153907
10.1063/1.3153907
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