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Model of a truncated fast rotating flow at infinite Reynolds number
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10.1063/1.2958319
/content/aip/journal/pof2/20/7/10.1063/1.2958319
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/7/10.1063/1.2958319

Figures

Image of FIG. 1.
FIG. 1.

Initial horizontal spectra of ICs, IC: I and IC: II.

Image of FIG. 2.
FIG. 2.

Time series of the energy contributions and for , 0.2, and 0.01, initiated with IC: I (a) and IC: II (b). The time axis is the dimensional time.

Image of FIG. 3.
FIG. 3.

Time series of the 2D enstrophy (a) and the energy of the vertical component of the 2D field (b) for , 0.2, and 0.01 for both IC: I and IC: II. The time axis is the dimensional time.

Image of FIG. 4.
FIG. 4.

Time series of the and for the simulation initialized with IC: I (a) and IC: II (b). The time axis is the nondimensional time .

Image of FIG. 5.
FIG. 5.

Horizontal wavenumber spectra of (upper panel) and (lower panel) for and for IC: I (left column) and IC: II (right column). The theoretical spectra have been offset for clarity. The initial numerical spectra are denoted and multiple lines are for different times.

Image of FIG. 6.
FIG. 6.

Time series of [centroid of 2D energy spectra defined by Eq. (39)], with nondimensional time and for . Both simulations started with IC: I and IC: II are shown.

Image of FIG. 7.
FIG. 7.

Horizontal wavenumber spectra for and for IC: I (a) and IC: II (b). The theoretical spectra have been offset for clarity. The initial numerical spectra are denoted and the multiple lines are for different times.

Image of FIG. 8.
FIG. 8.

Vertical spectra of 3D energy, , for simulations initiated with IC: I (a) and IC: II (b). The initial numerical spectra are denoted and the multiple lines are for different times. The theoretical spectra have been offset for clarity only for the simulation IC: II (a).

Image of FIG. 9.
FIG. 9.

Time averaged 3D energy spectrum in log-log scale at an initial time [(a) and (b)], an intermediate time range below such that [(c) and (d)], an intermediate time [(e) and (f)], and the end of the simulations with [(g) and (h)]. Both the and time ranges correspond to times larger than , i.e., beyond the decoupled phase. and the ICs are IC: I (left column) and IC: II (right column). The colors are normalized for each graph such that the maximum (minimum) value of the modal spectrum is represented by the brightest (darkest) color.

Tables

Generic image for table
Table I.

The timestep , the rotation rate , the final output time , the 2D Rossby number , and the Robert filter parameter for each of the selected simulations.

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/content/aip/journal/pof2/20/7/10.1063/1.2958319
2008-07-30
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Model of a truncated fast rotating flow at infinite Reynolds number
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/7/10.1063/1.2958319
10.1063/1.2958319
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