Scalewise invariant analysis of the anisotropic Reynolds stress tensor for atmospheric surface layer and canopy sublayer turbulent flows
Abstract
Anisotropy in the turbulent stress tensor, which forms the basis of invariant analysis, is conducted using velocity time series measurements collected in the canopy sublayer (CSL) and the atmospheric surface layer (ASL). The goal is to assess how thermal stratification and surface roughness conditions simultaneously distort the scalewise relaxation towards isotropic state from large to small scales when referenced to homogeneous turbulence. To achieve this goal, conventional invariant analysis is extended to allow scalewise information about relaxation to isotropy in physical (instead of Fourier) space to be incorporated. The proposed analysis shows that the CSL is more isotropic than its ASL counterpart at large, intermediate, and small (or inertial) scales irrespective of the thermal stratification. Moreover, the small (or inertial) scale anisotropy is more prevalent in the ASL when compared to the CSL, a finding that cannot be fully explained by the intensity of the mean velocity gradient acting on all scales. Implications to the validity of scalewise Rotta and Lumley models for return to isotropy as well as advantages to using barycentric instead of anisotropy invariant maps for such scalewise analysis are discussed.
- Authors:
-
- Karlsruhe Inst. of Technology (KIT) (Germany)
- Duke Univ., Durham, NC (United States); Karlsruhe Inst. of Technology (KIT) (Germany)
- Weizmann Inst. of Science, Rehovot (Israel)
- Publication Date:
- Research Org.:
- Duke Univ., Durham, NC (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Biological and Environmental Research (BER); National Science Foundation (NSF); German Research Foundation (DFG); Helmholtz Association
- OSTI Identifier:
- 1541224
- Alternate Identifier(s):
- OSTI ID: 1438958
- Grant/Contract Number:
- SC0011461; EAR-1344703; AGS-1644382; DGE-1068871; VH-NG-843; HGF VH-KO-505
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Fluids
- Additional Journal Information:
- Journal Volume: 3; Journal Issue: 5; Journal ID: ISSN 2469-990X
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; atmospheric fluid dynamics; structure & turbulence of boundary layers; turbulence
Citation Formats
Brugger, Peter, Katul, Gabriel G., De Roo, Frederik, Kröniger, Konstantin, Rotenberg, Eyal, Rohatyn, Shani, and Mauder, Matthias. Scalewise invariant analysis of the anisotropic Reynolds stress tensor for atmospheric surface layer and canopy sublayer turbulent flows. United States: N. p., 2018.
Web. doi:10.1103/physrevfluids.3.054608.
Brugger, Peter, Katul, Gabriel G., De Roo, Frederik, Kröniger, Konstantin, Rotenberg, Eyal, Rohatyn, Shani, & Mauder, Matthias. Scalewise invariant analysis of the anisotropic Reynolds stress tensor for atmospheric surface layer and canopy sublayer turbulent flows. United States. https://doi.org/10.1103/physrevfluids.3.054608
Brugger, Peter, Katul, Gabriel G., De Roo, Frederik, Kröniger, Konstantin, Rotenberg, Eyal, Rohatyn, Shani, and Mauder, Matthias. Thu .
"Scalewise invariant analysis of the anisotropic Reynolds stress tensor for atmospheric surface layer and canopy sublayer turbulent flows". United States. https://doi.org/10.1103/physrevfluids.3.054608. https://www.osti.gov/servlets/purl/1541224.
@article{osti_1541224,
title = {Scalewise invariant analysis of the anisotropic Reynolds stress tensor for atmospheric surface layer and canopy sublayer turbulent flows},
author = {Brugger, Peter and Katul, Gabriel G. and De Roo, Frederik and Kröniger, Konstantin and Rotenberg, Eyal and Rohatyn, Shani and Mauder, Matthias},
abstractNote = {Anisotropy in the turbulent stress tensor, which forms the basis of invariant analysis, is conducted using velocity time series measurements collected in the canopy sublayer (CSL) and the atmospheric surface layer (ASL). The goal is to assess how thermal stratification and surface roughness conditions simultaneously distort the scalewise relaxation towards isotropic state from large to small scales when referenced to homogeneous turbulence. To achieve this goal, conventional invariant analysis is extended to allow scalewise information about relaxation to isotropy in physical (instead of Fourier) space to be incorporated. The proposed analysis shows that the CSL is more isotropic than its ASL counterpart at large, intermediate, and small (or inertial) scales irrespective of the thermal stratification. Moreover, the small (or inertial) scale anisotropy is more prevalent in the ASL when compared to the CSL, a finding that cannot be fully explained by the intensity of the mean velocity gradient acting on all scales. Implications to the validity of scalewise Rotta and Lumley models for return to isotropy as well as advantages to using barycentric instead of anisotropy invariant maps for such scalewise analysis are discussed.},
doi = {10.1103/physrevfluids.3.054608},
journal = {Physical Review Fluids},
number = 5,
volume = 3,
place = {United States},
year = {Thu May 24 00:00:00 EDT 2018},
month = {Thu May 24 00:00:00 EDT 2018}
}
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