An analytical turbulence modeling based on the double-Lagrangian formalism
An analytical approach to turbulence modeling based on the double-Lagrangian formalism is applied to turbulence modeling. Extending a selfconsistent closure theory of homogeneous turbulence, current approach allows us to derive a quadratic nonlinear viscosity form of the Reynolds stress without rely...
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| Format: | Article |
| Language: | English |
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The Japan Society of Mechanical Engineers
2019-12-01
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| Series: | Journal of Fluid Science and Technology |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/jfst/14/3/14_2019jfst0019/_pdf/-char/en |
| _version_ | 1818966063350546432 |
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| author | Taketo ARIKI |
| author_facet | Taketo ARIKI |
| author_sort | Taketo ARIKI |
| collection | DOAJ |
| description | An analytical approach to turbulence modeling based on the double-Lagrangian formalism is applied to turbulence modeling. Extending a selfconsistent closure theory of homogeneous turbulence, current approach allows us to derive a quadratic nonlinear viscosity form of the Reynolds stress without relying on empirical parameters. To examine the future possibility of the present methodology as practical modeling approach, a simple non-linear K -ε model is constructed, which is then applied to turbulent channel flow at a medium Reynolds number (Re = 590). With the help of conventional modeled equations for K and ε, the channel turbulence is stably calculated yielding reasonable agreements with a DNS. |
| first_indexed | 2024-12-20T13:26:57Z |
| format | Article |
| id | doaj.art-14d55276204d425da7c699d99af7b651 |
| institution | Directory Open Access Journal |
| issn | 1880-5558 |
| language | English |
| last_indexed | 2024-12-20T13:26:57Z |
| publishDate | 2019-12-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Journal of Fluid Science and Technology |
| spelling | doaj.art-14d55276204d425da7c699d99af7b6512022-12-21T19:39:15ZengThe Japan Society of Mechanical EngineersJournal of Fluid Science and Technology1880-55582019-12-01143JFST0019JFST001910.1299/jfst.2019jfst0019jfstAn analytical turbulence modeling based on the double-Lagrangian formalismTaketo ARIKI0Department of Aerospace Engineering, Tohoku UniversityAn analytical approach to turbulence modeling based on the double-Lagrangian formalism is applied to turbulence modeling. Extending a selfconsistent closure theory of homogeneous turbulence, current approach allows us to derive a quadratic nonlinear viscosity form of the Reynolds stress without relying on empirical parameters. To examine the future possibility of the present methodology as practical modeling approach, a simple non-linear K -ε model is constructed, which is then applied to turbulent channel flow at a medium Reynolds number (Re = 590). With the help of conventional modeled equations for K and ε, the channel turbulence is stably calculated yielding reasonable agreements with a DNS.https://www.jstage.jst.go.jp/article/jfst/14/3/14_2019jfst0019/_pdf/-char/enturbulence shear flowhomogeneous turbulencerenormalizationlagrangian formalismturbulence modeling |
| spellingShingle | Taketo ARIKI An analytical turbulence modeling based on the double-Lagrangian formalism Journal of Fluid Science and Technology turbulence shear flow homogeneous turbulence renormalization lagrangian formalism turbulence modeling |
| title | An analytical turbulence modeling based on the double-Lagrangian formalism |
| title_full | An analytical turbulence modeling based on the double-Lagrangian formalism |
| title_fullStr | An analytical turbulence modeling based on the double-Lagrangian formalism |
| title_full_unstemmed | An analytical turbulence modeling based on the double-Lagrangian formalism |
| title_short | An analytical turbulence modeling based on the double-Lagrangian formalism |
| title_sort | analytical turbulence modeling based on the double lagrangian formalism |
| topic | turbulence shear flow homogeneous turbulence renormalization lagrangian formalism turbulence modeling |
| url | https://www.jstage.jst.go.jp/article/jfst/14/3/14_2019jfst0019/_pdf/-char/en |
| work_keys_str_mv | AT taketoariki ananalyticalturbulencemodelingbasedonthedoublelagrangianformalism AT taketoariki analyticalturbulencemodelingbasedonthedoublelagrangianformalism |