Transport and modeling of subgrid-scale turbulent kinetic energy in channel flows
To develop a more convenient subgrid-scale (SGS) model that performs well even in coarse grid cases, we investigate the transport and modeling of SGS turbulent kinetic energy (hereafter SGS energy) in turbulent channel flows based on the stabilized mixed model (SMM). In this paper, we try to increas...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2022-04-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0083398 |
| _version_ | 1811256733575675904 |
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| author | Kazuhiro Inagaki Hiromichi Kobayashi |
| author_facet | Kazuhiro Inagaki Hiromichi Kobayashi |
| author_sort | Kazuhiro Inagaki |
| collection | DOAJ |
| description | To develop a more convenient subgrid-scale (SGS) model that performs well even in coarse grid cases, we investigate the transport and modeling of SGS turbulent kinetic energy (hereafter SGS energy) in turbulent channel flows based on the stabilized mixed model (SMM). In this paper, we try to increase the convenience of the SMM by replacing the modeled transport equation for the SGS energy with an algebraic model. The SMM quantitatively adequately predicts the total turbulent kinetic energy of the direct numerical simulation (DNS) even in coarse grid cases. For both the filtered DNS (fDNS) and large-eddy simulation (LES), the statistically averaged production term balances with the dissipation in the region away from the wall in the SGS energy transport equation. In contrast, we reveal that the correlation coefficient between the production and dissipation terms is high for the modeled transport equation in LES, whereas that for the fDNS is low. Based on the high correlation or local equilibrium between the production and dissipation observed in the LES, we demonstrate the reduction of the SMM into a zero-equation SMM (ZE-SMM). We construct a new damping function based on the grid-scale Kolmogorov length to reproduce the near-wall behavior of the algebraic model for the SGS energy. The ZE-SMM provides quantitatively the same performance as the original SMM that employs the SGS energy transport model. This result suggests that the local equilibrium model for the SGS energy provides the equivalent performance as the transport model in wall-bounded turbulent flows even in coarse grid cases. |
| first_indexed | 2024-04-12T17:45:43Z |
| format | Article |
| id | doaj.art-f0515e82e9c04bd2acb6de3f3c9e9c75 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-04-12T17:45:43Z |
| publishDate | 2022-04-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-f0515e82e9c04bd2acb6de3f3c9e9c752022-12-22T03:22:41ZengAIP Publishing LLCAIP Advances2158-32262022-04-01124045222045222-2310.1063/5.0083398Transport and modeling of subgrid-scale turbulent kinetic energy in channel flowsKazuhiro Inagaki0Hiromichi Kobayashi1Research and Education Center for Natural Sciences, Keio University, 4-1-1 Hiyoshi, Kohoku-ku, Yokohama 223-8521, JapanDepartment of Physics and Research and Education Center for Natural Sciences, Hiyoshi Campus, Keio University, 4-1-1 Hiyoshi, Kohoku-ku, Yokohama 223-8521, JapanTo develop a more convenient subgrid-scale (SGS) model that performs well even in coarse grid cases, we investigate the transport and modeling of SGS turbulent kinetic energy (hereafter SGS energy) in turbulent channel flows based on the stabilized mixed model (SMM). In this paper, we try to increase the convenience of the SMM by replacing the modeled transport equation for the SGS energy with an algebraic model. The SMM quantitatively adequately predicts the total turbulent kinetic energy of the direct numerical simulation (DNS) even in coarse grid cases. For both the filtered DNS (fDNS) and large-eddy simulation (LES), the statistically averaged production term balances with the dissipation in the region away from the wall in the SGS energy transport equation. In contrast, we reveal that the correlation coefficient between the production and dissipation terms is high for the modeled transport equation in LES, whereas that for the fDNS is low. Based on the high correlation or local equilibrium between the production and dissipation observed in the LES, we demonstrate the reduction of the SMM into a zero-equation SMM (ZE-SMM). We construct a new damping function based on the grid-scale Kolmogorov length to reproduce the near-wall behavior of the algebraic model for the SGS energy. The ZE-SMM provides quantitatively the same performance as the original SMM that employs the SGS energy transport model. This result suggests that the local equilibrium model for the SGS energy provides the equivalent performance as the transport model in wall-bounded turbulent flows even in coarse grid cases.http://dx.doi.org/10.1063/5.0083398 |
| spellingShingle | Kazuhiro Inagaki Hiromichi Kobayashi Transport and modeling of subgrid-scale turbulent kinetic energy in channel flows AIP Advances |
| title | Transport and modeling of subgrid-scale turbulent kinetic energy in channel flows |
| title_full | Transport and modeling of subgrid-scale turbulent kinetic energy in channel flows |
| title_fullStr | Transport and modeling of subgrid-scale turbulent kinetic energy in channel flows |
| title_full_unstemmed | Transport and modeling of subgrid-scale turbulent kinetic energy in channel flows |
| title_short | Transport and modeling of subgrid-scale turbulent kinetic energy in channel flows |
| title_sort | transport and modeling of subgrid scale turbulent kinetic energy in channel flows |
| url | http://dx.doi.org/10.1063/5.0083398 |
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