Dynamic subgrid-scale model constant-value estimation refined by vector-level identity in an atmospheric flow field

This study investigates the accuracy of dynamic models in predicting model constants within inviscid flow fields, such as those used in wind farm flow analysis, from the perspectives of identity and turbulent energy conservation accuracy. Specifically, results are compared between tensor-level and v...

Full description

Saved in:
Bibliographic Details
Main Authors: Hiroki SUZUKI, Yutaka HASEGAWA
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2024-12-01
Series:Journal of Fluid Science and Technology
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/jfst/19/4/19_2024jfst0035/_pdf/-char/en
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1846106973319200768
author Hiroki SUZUKI
Yutaka HASEGAWA
author_facet Hiroki SUZUKI
Yutaka HASEGAWA
author_sort Hiroki SUZUKI
collection DOAJ
description This study investigates the accuracy of dynamic models in predicting model constants within inviscid flow fields, such as those used in wind farm flow analysis, from the perspectives of identity and turbulent energy conservation accuracy. Specifically, results are compared between tensor-level and vector-level identities, the latter of which includes the calculation of model constants taking into account the errors of differential approximation. The subgrid-scale models employed include the Smagorinsky model and the coherent structure model. The analysis focuses on inviscid flow fields within a three-dimensional periodic domain. Fourth- or second-order spatial accuracy was applied to a coarse computational grid. The results yielded values of a model constant that compensated the resulting energy conservation errors to zero. The statistics of the velocity fluctuation derivatives in the flow fields where the energy conservation errors were compensated were examined. Dynamic model predictions for both identities were then computed for the Smagorinsky and coherent ctructure models and compared with the correct values. The results show that the dynamic model predictions are largely independent of the energy conservation errors, and that the predictions based on the tensor-level identity deviate significantly more from the correct values than those based on the vector-level identity.
format Article
id doaj-art-1e9559fa48e74d0487d517fb12febe65
institution Kabale University
issn 1880-5558
language English
publishDate 2024-12-01
publisher The Japan Society of Mechanical Engineers
record_format Article
series Journal of Fluid Science and Technology
spelling doaj-art-1e9559fa48e74d0487d517fb12febe652024-12-27T01:27:52ZengThe Japan Society of Mechanical EngineersJournal of Fluid Science and Technology1880-55582024-12-01194JFST0035JFST003510.1299/jfst.2024jfst0035jfstDynamic subgrid-scale model constant-value estimation refined by vector-level identity in an atmospheric flow fieldHiroki SUZUKI0Yutaka HASEGAWA1Graduate School of Environmental, Life, Natural Science and Technology, Okayama UniversityDepartment of Electrical and Mechanical Engineering, Nagoya Instutue of TechnologyThis study investigates the accuracy of dynamic models in predicting model constants within inviscid flow fields, such as those used in wind farm flow analysis, from the perspectives of identity and turbulent energy conservation accuracy. Specifically, results are compared between tensor-level and vector-level identities, the latter of which includes the calculation of model constants taking into account the errors of differential approximation. The subgrid-scale models employed include the Smagorinsky model and the coherent structure model. The analysis focuses on inviscid flow fields within a three-dimensional periodic domain. Fourth- or second-order spatial accuracy was applied to a coarse computational grid. The results yielded values of a model constant that compensated the resulting energy conservation errors to zero. The statistics of the velocity fluctuation derivatives in the flow fields where the energy conservation errors were compensated were examined. Dynamic model predictions for both identities were then computed for the Smagorinsky and coherent ctructure models and compared with the correct values. The results show that the dynamic model predictions are largely independent of the energy conservation errors, and that the predictions based on the tensor-level identity deviate significantly more from the correct values than those based on the vector-level identity.https://www.jstage.jst.go.jp/article/jfst/19/4/19_2024jfst0035/_pdf/-char/enturbulent flowslarge-eddy simulationdynamic model identityatmospheric flowturbulent kinetic energy
spellingShingle Hiroki SUZUKI
Yutaka HASEGAWA
Dynamic subgrid-scale model constant-value estimation refined by vector-level identity in an atmospheric flow field
Journal of Fluid Science and Technology
turbulent flows
large-eddy simulation
dynamic model identity
atmospheric flow
turbulent kinetic energy
title Dynamic subgrid-scale model constant-value estimation refined by vector-level identity in an atmospheric flow field
title_full Dynamic subgrid-scale model constant-value estimation refined by vector-level identity in an atmospheric flow field
title_fullStr Dynamic subgrid-scale model constant-value estimation refined by vector-level identity in an atmospheric flow field
title_full_unstemmed Dynamic subgrid-scale model constant-value estimation refined by vector-level identity in an atmospheric flow field
title_short Dynamic subgrid-scale model constant-value estimation refined by vector-level identity in an atmospheric flow field
title_sort dynamic subgrid scale model constant value estimation refined by vector level identity in an atmospheric flow field
topic turbulent flows
large-eddy simulation
dynamic model identity
atmospheric flow
turbulent kinetic energy
url https://www.jstage.jst.go.jp/article/jfst/19/4/19_2024jfst0035/_pdf/-char/en
work_keys_str_mv AT hirokisuzuki dynamicsubgridscalemodelconstantvalueestimationrefinedbyvectorlevelidentityinanatmosphericflowfield
AT yutakahasegawa dynamicsubgridscalemodelconstantvalueestimationrefinedbyvectorlevelidentityinanatmosphericflowfield