Geometric alignments in atmospheric boundary layer turbulence and large eddy simulations

2007 2007

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Abstract (summary)

Common closure schemes for large eddy simulation (LES) typically rely upon the assumption that subgrid-scale fluxes are aligned against spatial gradients of transported quantities. Direct testing of this assumption is needed to evaluate the structure and geometric form of these closure schemes. Field experimental data of velocity and temperature measurements from sonic anemometer arrays in the atmospheric surface layer are analyzed using tools from statistical geometry. We show: (1) The most likely orientation of the subgrid-scale (SGS) heat flux lies within a plane that is spanned by the temperature gradient vector and its product with the velocity gradient tensor. (2) The preferred filtered fluid deformation is axisymmetric extension and the preferred subgrid stress state is axisymmetric contraction. (3) The filtered fluctuating vorticity is preferentially aligned with the mean vorticity, the streamwise direction, and the intermediate strain-rate eigenvector. (4) The alignment between eigenvectors of the SGS stress and filtered strain rate are in qualitative agreement with prior laboratory measurements at much lower Reynolds numbers. A bimodal distribution is observed, which can be reduced to co-alignment using the mixed model. (5) A geometric interpretation of energy dissipation reveals the dependence of SGS dissipation on alignment angles between the eigendirections of the SGS stress and the filtered strain rate tensors. (6) Two dimensional filtering can be a good surrogate for three dimensional filtering if the filter scale is reinterpreted, otherwise the we delineate a new approach. And, (7) The vector alignment of the SGS force with the divergence of the Smagorinsky and nonlinear models is investigated under near neutral, unstable, and stable atmospheric stabilities. It is shown that the nonlinear formulation has a high probability of alignment with the SGS force across all stabilities, while the alignment of the Smagorinsky model depends on atmospheric stability.

Indexing (details)

Environmental engineering
0725: Atmosphere
0775: Environmental engineering
Identifier / keyword
Applied sciences; Earth sciences; Atmospheric boundary layer; Large-eddy simulations; Turbulence
Geometric alignments in atmospheric boundary layer turbulence and large eddy simulations
Higgins, Chad William
Number of pages
Publication year
Degree date
School code
DAI-B 68/04, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
The Johns Hopkins University
University location
United States -- Maryland
Source type
Dissertations & Theses
Document type
Dissertation/thesis number
ProQuest document ID
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
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