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A priori assessment of gradient models of joint cumulants for large eddy simulations of premixed turbulent flames

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Title: A priori assessment of gradient models of joint cumulants for large eddy simulations of premixed turbulent flames
Authors: Sabelnikov, Vladimir, 1947, Lipatnikov, Andrei, 1961, Nishiki, Shinnosuke, 1976
Source: Modellering av turbulent förbränning av magra kolfria blandningar Physics of Fluids. 37:1-17
Subject Terms: subfilter-scale terms, large eddy simulations, DNS, premixed turbulent combustion, gradient models
Description: The paper aims at exploring gradient models of joint cumulants for large eddy simulations of premixed turbulent combustion. These are joint cumulants between (i) filtered density and velocity, (ii) two components of Favre-filtered velocity vector, i.e., subfilter-scale stress tensor, (iii) Favre-filtered velocity and combustion progress variable, ~c, i.e., subfilter-scale scalar flux, (iv) ~c and ~c, i.e., subfilter-scale scalar variance, and (v) filtered density and combustion progress. The model equations are derived for all these cumulants in a unified manner, with each equation involving a single constant. The equations are tested by filtering out Direct Numerical Simulation (DNS) data obtained from three weakly turbulent single-step-chemistry flames characterized by significantly different density ratios and from a lean H2/air complexchemistry flame propagating in moderately intense small-scale turbulence. (A ratio of laminar flame thickness to Kolmogorov length scale is about 20.) Four box filters are applied to each dataset, with the filter width D being equal to 4, 8, 16, and 30 or 32 DNS mesh steps Dx. In all studied cases (four filters and four flames), the tested gradient models yield countergradient subfilter-scale scalar flux and backscatter, in line with the DNS data. If the theoretically evaluated constant 1/12 is adopted, all joint cumulants can be predicted in all flames, but only at D=4Dx or/and D=8Dx. If a single model constant is tuned for a single cumulant, most cumulants are quantitatively predicted using all four filters in all four analyzed flames, with the tuned model constants being increased with D.
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: A priori assessment of gradient models of joint cumulants for large eddy simulations of premixed turbulent flames
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Sabelnikov%2C+Vladimir%22">Sabelnikov, Vladimir</searchLink>, 1947<br /><searchLink fieldCode="AR" term="%22Lipatnikov%2C+Andrei%22">Lipatnikov, Andrei</searchLink>, 1961<br /><searchLink fieldCode="AR" term="%22Nishiki%2C+Shinnosuke%22">Nishiki, Shinnosuke</searchLink>, 1976
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <i>Modellering av turbulent förbränning av magra kolfria blandningar Physics of Fluids</i>. 37:1-17
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22subfilter-scale+terms%22">subfilter-scale terms</searchLink><br /><searchLink fieldCode="DE" term="%22large+eddy+simulations%22">large eddy simulations</searchLink><br /><searchLink fieldCode="DE" term="%22DNS%22">DNS</searchLink><br /><searchLink fieldCode="DE" term="%22premixed+turbulent+combustion%22">premixed turbulent combustion</searchLink><br /><searchLink fieldCode="DE" term="%22gradient+models%22">gradient models</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: The paper aims at exploring gradient models of joint cumulants for large eddy simulations of premixed turbulent combustion. These are joint cumulants between (i) filtered density and velocity, (ii) two components of Favre-filtered velocity vector, i.e., subfilter-scale stress tensor, (iii) Favre-filtered velocity and combustion progress variable, ~c, i.e., subfilter-scale scalar flux, (iv) ~c and ~c, i.e., subfilter-scale scalar variance, and (v) filtered density and combustion progress. The model equations are derived for all these cumulants in a unified manner, with each equation involving a single constant. The equations are tested by filtering out Direct Numerical Simulation (DNS) data obtained from three weakly turbulent single-step-chemistry flames characterized by significantly different density ratios and from a lean H2/air complexchemistry flame propagating in moderately intense small-scale turbulence. (A ratio of laminar flame thickness to Kolmogorov length scale is about 20.) Four box filters are applied to each dataset, with the filter width D being equal to 4, 8, 16, and 30 or 32 DNS mesh steps Dx. In all studied cases (four filters and four flames), the tested gradient models yield countergradient subfilter-scale scalar flux and backscatter, in line with the DNS data. If the theoretically evaluated constant 1/12 is adopted, all joint cumulants can be predicted in all flames, but only at D=4Dx or/and D=8Dx. If a single model constant is tuned for a single cumulant, most cumulants are quantitatively predicted using all four filters in all four analyzed flames, with the tuned model constants being increased with D.
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  Data: electronic
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  Data: <link linkTarget="URL" linkTerm="https://research.chalmers.se/publication/547372" linkWindow="_blank">https://research.chalmers.se/publication/547372</link><br /><link linkTarget="URL" linkTerm="https://research.chalmers.se/publication/547445" linkWindow="_blank">https://research.chalmers.se/publication/547445</link><br /><link linkTarget="URL" linkTerm="https://research.chalmers.se/publication/547445/file/547445_Fulltext.pdf" linkWindow="_blank">https://research.chalmers.se/publication/547445/file/547445_Fulltext.pdf</link>
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1063/5.0268258
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 17
        StartPage: 1
    Subjects:
      – SubjectFull: subfilter-scale terms
        Type: general
      – SubjectFull: large eddy simulations
        Type: general
      – SubjectFull: DNS
        Type: general
      – SubjectFull: premixed turbulent combustion
        Type: general
      – SubjectFull: gradient models
        Type: general
    Titles:
      – TitleFull: A priori assessment of gradient models of joint cumulants for large eddy simulations of premixed turbulent flames
        Type: main
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          Name:
            NameFull: Sabelnikov, Vladimir
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            NameFull: Lipatnikov, Andrei
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            NameFull: Nishiki, Shinnosuke
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2025
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              Value: 10706631
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            – Type: volume
              Value: 37
          Titles:
            – TitleFull: Modellering av turbulent förbränning av magra kolfria blandningar Physics of Fluids
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