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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
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Affiliations:
1 Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, Pennsylvania 15261, USA
2 Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, USA
a) Author to whom correspondence should be addressed. Telephone: 412-624-9755. Fax: 412-624-4846. Electronic mail: moh3@pitt.edu.
Phys. Fluids 21, 075102 (2009)
/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

FIG. 1.

The instantaneous isosurface of the filtered frequency at time .

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.

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.

FIG. 4.

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

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 .

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.

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.

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.

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.

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.

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.

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.

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.

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.

/content/aip/journal/pof2/21/7/10.1063/1.3153907
2009-07-15
2014-04-17

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