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A framework for epistemic uncertainty quantification of turbulent scalar flux models for Reynolds-averaged Navier-Stokes simulations
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10.1063/1.4807067
/content/aip/journal/pof2/25/5/10.1063/1.4807067
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/5/10.1063/1.4807067

Figures

Image of FIG. 1.
FIG. 1.

JISC flow features.

Image of FIG. 2.
FIG. 2.

Grid dependency of on the symmetry plane in the LES.

Image of FIG. 3.
FIG. 3.

Nozzle and dimensions of the computational domain (mm).

Image of FIG. 4.
FIG. 4.

analysis of scalar flux model alignment: (a) time-averaged scalar value and (b) (α) on three planes.

Image of FIG. 5.
FIG. 5.

Pdf of (α) for the SGDH and GGDH models.

Image of FIG. 6.
FIG. 6.

Barycentric map.

Image of FIG. 7.
FIG. 7.

Classification of points based on − ε > 0 or − ε < 0 on three planes.

Image of FIG. 8.
FIG. 8.

Comparison of Barycentric map from LES and RANS for points where − ε < 0 and − ε > 0. (a) Barycentric map coordinates, colored by the displacement angle θ between the RANS and LES maps. (b) Pdfs of the distance and the angle θ.

Image of FIG. 9.
FIG. 9.

(a) Barycentric map of all the points in the LES, indicating the average location and the area that defines the possible perturbations. (b) Pdfs of and θ for all points in the LES map compared to the average location.

Image of FIG. 10.
FIG. 10.

Comparison of turbulent kinetic energy from RANS and LES, including the difference, on three planes.

Image of FIG. 11.
FIG. 11.

Perturbation function for the turbulent kinetic energy. (a) Pdfs of the parameters to . (b) Perturbation function for using the peaks of the pdfs for the values of to . (c) The corrected turbulent kinetic energy on three planes.

Image of FIG. 12.
FIG. 12.

(a) Isolines of scalar value and extracted from the isosurfaces at three downstream locations: / = 1, / = 3, and / = 5. (b) Quantity of interest: surface area encompassed by isoline for at / = 5.

Image of FIG. 13.
FIG. 13.

Comparison of isolines for and at three downstream transverse planes: LES, SGDH, SGDH with fine grid and GGDH models.

Image of FIG. 14.
FIG. 14.

Comparison of isolines for and at three downstream transverse planes: LES and SGDH models with = 0.9, 0.7, 0.5, 0.3, and 0.1.

Image of FIG. 15.
FIG. 15.

Isolines for at three downstream locations: LES, GGDH, and sensitivity of GGDH to (AC1) and * (K1). Perturbations introduced separately in the Reynolds stress tensor in the momentum equations (RS) and in the scalar flux vector in the scalar transport equation (SF) and combined in both (SF and RS).

Image of FIG. 16.
FIG. 16.

Isolines for at three downstream locations: LES, GGDH, and all simulations performed in the optimization procedure.

Image of FIG. 17.
FIG. 17.

Illustration of the angles α and β as defined for the analysis of the induced scalar flux vector rotations.

Image of FIG. 18.
FIG. 18.

(a) Location of points where sufficient rotation is obtained on the planes / = 0.0, / = 1.0, and / = 5.0. (b) Variation in α and β for Line 1 and Line 2.

Tables

Generic image for table
Table I.

Quantity of interest for LES, GGDH, and SGDH with different .

Generic image for table
Table II.

Parameters in the different perturbation functions and value for which the maximum of was found.

Generic image for table
Table III.

Quantity of interest for LES and GGDH, including the bounds found with the optimization procedure.

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/content/aip/journal/pof2/25/5/10.1063/1.4807067
2013-05-29
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A framework for epistemic uncertainty quantification of turbulent scalar flux models for Reynolds-averaged Navier-Stokes simulations
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/5/10.1063/1.4807067
10.1063/1.4807067
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