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Implicit large-eddy simulation of passive scalar mixing in statistically stationary isotropic turbulence
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10.1063/1.4783924
/content/aip/journal/pof2/25/2/10.1063/1.4783924
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/2/10.1063/1.4783924

Figures

Image of FIG. 1.
FIG. 1.

Time histories of the velocity variances for grid resolutions of (a) 32, (b) 64, (c) 128, and (d) 256 cells; Case 1. (e) Time histories of the scalar variance for grid resolutions of 32, 64, 128, and 256.

Image of FIG. 2.
FIG. 2.

Isosurfaces of vorticity magnitude scaled by vorticity for grid resolutions of (a) 32, (b) 64, (c) 128, and (d) 256, cells; Case 1.

Image of FIG. 3.
FIG. 3.

Compensated velocity spectra (black) plotted with the compensated scalar variance spectra (gray). Solid line: 32; dashed line: 64; dashed-dotted line: 128; diamond: 256; Case 1.

Image of FIG. 4.
FIG. 4.

PDFs of velocity fluctuations scaled with of the velocity fluctuations . Solid line: 32; dashed line: 64; dashed-dotted line: 128; diamond: 256; gray open-circle: Gaussian; Case 1.

Image of FIG. 5.
FIG. 5.

PDFs of (a) vorticity magnitude, (b) vorticity magnitude (from DNS data ), (c) transverse derivatives, (d) strain rate magnitude, and (e) longitudinal derivatives scaled with the vorticity ω; Case 1. ILES (black) - solid line: 32; dashed line: 64; dashed-dotted line: 128; diamond: 256. DNS (gray) - solid line: = 36; dashed line: = 60; dashed-dotted line: = 96; diamond: = 142; X: = 168.

Image of FIG. 6.
FIG. 6.

PDFs of (a) transverse velocity derivatives and (b) longitudinal velocity derivatives scaled with the vorticity ω. Black dashed-dotted line: ILES Case 1 - 128; black solid line: ILES Case 2 - 128. DNS (gray) - solid line: = 36; dashed line: = 60; dashed-dotted line: = 96; diamond: = 142; X: = 168.

Image of FIG. 7.
FIG. 7.

Compensated velocity energy spectra. Light gray: dilatational component; dark gray: solenoidal component; black: total. solid line: 32; dashed line: 64; dashed-dotted line: 128; diamond: 256; Case 1.

Image of FIG. 8.
FIG. 8.

PDFs of (a) strain rate magnitude and (b) longitudinal velocity derivatives (based on the solenoidal velocity component) scaled with the vorticity ω; Case 1. ILES (black) - solid line: 32; dashed line: 64; dashed-dotted line: 128; diamond: 256. DNS (gray) - solid line: = 36; dashed line: = 60; dashed-dotted line: = 96; diamond: = 142; X: = 168.

Image of FIG. 9.
FIG. 9.

Colormaps of fluctuating scalar field scaled by the of the fluctuating scalar field in mid-planes of the domain for grid resolutions of (a) 32, (b) 64, (c) 128, and (d) 256 cells; Case 1. Superimposed on the lower left of each colormap is a box with side length equal to the scalar Taylor micro-scale λ.

Image of FIG. 10.
FIG. 10.

PDFs of (a) fluctuations of the passive scalar scaled with of the passive scalar fluctuations, (b) magnitude of fluctuating scalar derivative in mean scalar gradient direction scaled with its magnitude, and (c) magnitude of fluctuating scalar derivative in isotropic directions scaled with its magnitude; Case 1. Solid line: 32; dashed line: 64; dashed-dotted line: 128; diamond: 256; gray open-circle: Gaussian.

Image of FIG. 11.
FIG. 11.

Non-dimensional scalar variance as a function of grid resolution determined . Gray open square/triangle/circle – line: LES; gray open right -triangle – line: LES without scalar SGS model; black full star – line: ILES Case 1; black open star – line: ILES Case 2.

Image of FIG. 12.
FIG. 12.

Ratio of square of Taylor micro-scales as a function of grid resolution determined . Gray full circle – line: DNS; gray full square – line: DNS; gray full triangle – line: DNS; gray open circle – line: LES; gray open triangle – line: LES without scalar SGS model; black full star – line: ILES Case 1; black open star – line: ILES Case 2.

Tables

Generic image for table
Table I.

Time-averaged values of flow statistics and parameters. Case 1, ∼ 0.27.

Generic image for table
Table II.

Time-averaged values of flow statistics and parameters. Case 2, ∼ 0.13.

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/content/aip/journal/pof2/25/2/10.1063/1.4783924
2013-02-04
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Implicit large-eddy simulation of passive scalar mixing in statistically stationary isotropic turbulence
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/2/10.1063/1.4783924
10.1063/1.4783924
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