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Large eddy simulation subfilter modeling of soot-turbulence interactions
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10.1063/1.3657826
/content/aip/journal/pof2/23/11/10.1063/1.3657826
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/11/10.1063/1.3657826

Figures

Image of FIG. 1.
FIG. 1.

Filtered total intermittency at t = 15 ms for the various evaluations of the sub-filter intermittency for a filter size of Δ/h = 64. The lines correspond to a perfect model, that is, the filtered DNS itself. The sample mean and normalized sample error are indicated on each of the plots; the exact mean from the filtered DNS is 0.7510. For the single delta distribution, the maximum DNS intermittency for an LES intermittency of zero is about 0.98; the minimum DNS intermittency for an LES intermittency of one is about 0.65.

Image of FIG. 2.
FIG. 2.

CDF of the filtered total intermittency for a filter width Δ/h = 64 at the time t = 15 ms. The solid line is the DNS data; the dashed line is the single delta distribution; the dotted line is the double delta distribution with ω evaluated from the total number density M 0,0; and the dashed-dotted line is the double delta distribution with ω evaluated from the total soot volume M 1,0.

Image of FIG. 3.
FIG. 3.

Mean filtered total intermittency and normalized error of the filtered total intermittency from the subfilter model as a function of the filter width at t = 15 ms. The solid line is the single delta distribution, and the dashed and dotted lines are the double delta distribution with the subfilter intermittency evaluated from M 0,0 and M 1,0, respectively. The dashed-dotted line corresponds to the mean filtered total intermittency as evaluated from the DNS.

Image of FIG. 4.
FIG. 4.

Filtered source terms at t = 15 ms for the various models for the sub-filter intermittency for a filter size of Δ/h = 64. The lines correspond to a perfect model. The sample geometric standard deviation is indicated on each of the plots.

Image of FIG. 5.
FIG. 5.

CDF of the filtered number density coagulation source term for a filter width of Δ/h = 64 at the time t = 15 ms. The lines are the same as in Fig. 2. The solid and dotted lines are nearly indistinguishable.

Image of FIG. 6.
FIG. 6.

Geometric standard deviation of the filtered source term from the subfilter model as a function of filter width at t = 15 ms. The different lines are the same as in Fig. 3. The single delta distribution peaks at a standard deviation of about 30 at a filter width Δ/h = 256.

Image of FIG. 7.
FIG. 7.

Exact correlation between the second moment of the number density and the divergence of the velocity and the proposed model (Eq. (19)) from the filtered DNS data at t = 15 ms. The lines correspond to a perfect model. The normalized sample error is indicated in each of the plots.

Image of FIG. 8.
FIG. 8.

Model results for the filtered product of the number density and its coagulation source term. In the scatter plot, the line is a perfect model, and the geometric standard deviation is indicated. In the CDF, the solid line is the DNS, and the dashed line is the LES model. The two lines are nearly indistinguishable, especially at larger values of the product. Both plots correspond to the time t = 15 ms and a filter width Δ/h = 64.

Tables

Generic image for table
Table I.

Relevant parameters of the two-dimensional DNS of Bisetti et al. (Ref. 8).

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/content/aip/journal/pof2/23/11/10.1063/1.3657826
2011-11-09
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Large eddy simulation subfilter modeling of soot-turbulence interactions
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/11/10.1063/1.3657826
10.1063/1.3657826
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