1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The equivalence of the Lagrangian-averaged Navier-Stokes-α model and the rational large eddy simulation model in two dimensions
Rent:
Rent this article for
USD
10.1063/1.3632084
/content/aip/journal/pof2/23/9/10.1063/1.3632084
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/9/10.1063/1.3632084
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Snapshot of vorticity field of reference run at statistical stationarity. The stochastic forcing is confined to a band of wavenumbers between 15 and 16 (domain is 2π × 2π) and dissipation consists of a combination of Rayleigh friction and hyperviscosity.

Image of FIG. 2.
FIG. 2.

(Color online) The evolution of kinetic energy and enstrophy (inset) in the reference run (solid line: black), the bare truncation run (dashed line: red), and the LES run (dot-dashed line: green). The horizontal axis in the inset spans the same range of times as in the main plot. The former uses a 512 × 512 physical space grid where as the latter two runs use a 128 × 128 grid. The changes introduced by the subgrid model are so as to improve the bare truncation run in the direction of the reference run.

Image of FIG. 3.
FIG. 3.

(Color online) The one-dimensional power spectral density (logarithmic scale) and spectral flux density (inset: linear scale) plotted as a function of the one-dimensional wavenumber (logarithmic scale). The horizontal axis in the inset spans the same range of wavenumbers as in the main plot. Reference run: solid line (black); bare truncation run: dashed line (red); and the LES run: dot-dashed line (green). The thick dot-dashed line (blue) in the inset corresponds to the spectral flux of energy due to the subgrid model. In the range of scales where there is an inverse cascade of energy, the LES run is more energetic than the bare truncation run, and the LES run closely follows the reference run. However, at the small scales, the energy spectrum of the LES run falls off faster than the bare truncation run (at these range of scales, the reference run is still inertial.) The increased level of energy at the large scales in the LES run is seen as due to a secondary inverse cascade that is put in place by the subgrid model (backscatter). In effect, as compared to the bare truncation run, in the LES run, the forward cascade of energy is reduced and the inverse cascade of energy is augmented.

Loading

Article metrics loading...

/content/aip/journal/pof2/23/9/10.1063/1.3632084
2011-09-16
2014-04-20
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: The equivalence of the Lagrangian-averaged Navier-Stokes-α model and the rational large eddy simulation model in two dimensions
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/9/10.1063/1.3632084
10.1063/1.3632084
SEARCH_EXPAND_ITEM