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Spatiotemporal multiscaling analysis of impurity transport in plasma turbulence using proper orthogonal decomposition
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10.1063/1.3095865
/content/aip/journal/pop/16/4/10.1063/1.3095865
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/4/10.1063/1.3095865

Figures

Image of FIG. 1.
FIG. 1.

By reshaping the space matrix to vector, the matrix which contains the space and time information can be obtained.

Image of FIG. 2.
FIG. 2.

Comparison between vorticity mixing (left column) and passive scalar mixing (right column) in the quasihydrodynamic decaying regime. A close correlation is observed between the formation of passive scalar filaments and regions of strong vorticity mixing.

Image of FIG. 3.
FIG. 3.

POD spectrum of Impurity density of without forcing and with forcing in (a) quasiadiabatic and (b) quasihydrodynamic regime .

Image of FIG. 4.
FIG. 4.

Decaying passive scalar in quasihydrodynamic regime . Plot of snapshot of (a) original data, (b) reconstructed data (first 15 modes), and (c) the reconstruction error.

Image of FIG. 5.
FIG. 5.

Probability distribution function of the residual of the impurity density for decaying case (left) and forced case (right). Top: quasi-adiabatic case . Bottom: quasi-hydrodynamic case . The line in black corresponds to a summed up to POD modes, while the line in gray corresponds to a summed up to POD modes.

Image of FIG. 6.
FIG. 6.

Decaying passive scalar in quasiadiabatic regime . POD spatial eigenmodes, topos and corresponding temporal eigenmodes, chronos weighted by , for the modes , , , , , , , and .

Image of FIG. 7.
FIG. 7.

Decaying passive scalar in quasiadiabatic regime . Plot of chronos modes as function of time index for different values of . For a fixed , corresponds to the plots shown in the second column in Fig. 6.

Image of FIG. 8.
FIG. 8.

Decaying passive scalar in quasiadiabatic regime . Log-log plot of the scale length vs the time scale of the POD components. The straight line represents the power law fit .

Image of FIG. 9.
FIG. 9.

Decaying passive scalar in quasihydrodynamic regime . POD spatial eigenmodes, topos , and corresponding temporal eigenmodes, chronos weighted by , for the modes , , , , , , , and .

Image of FIG. 10.
FIG. 10.

Decaying passive scalar in quasihydrodynamic regime . Plot of chronos modes as function of time index for different values of . For a fixed , corresponds to the plots shown in the second column in Fig. 9.

Image of FIG. 11.
FIG. 11.

Decaying passive scalar in quasihydrodynamic regime . Log-log plot of the scale length vs the time scale of the POD components.

Image of FIG. 12.
FIG. 12.

Forced passive scalar in quasiadiabatic regime . POD spatial eigenmodes, topos , and corresponding temporal eigenmodes, chronos weighted by , for the modes , , , , , , , and .

Image of FIG. 13.
FIG. 13.

Forced passive scalar in quasiadiabatic regime . Log-log plot of the scale length vs the time scale of the POD components. The straight line represents the power law fit .

Image of FIG. 14.
FIG. 14.

Snapshot of (a) passive scalar density and (b) plasma density at , in the forced quasiadiabatic regime. As evidenced by the mean size of the dominant coherent structures in this case for both and .

Image of FIG. 15.
FIG. 15.

Forced passive scalar in quasihydrodynamic regime . Log-log plot of the scale length vs the time scale of the POD components.

Tables

Generic image for table
Table I.

POD modes energy distribution of quasiadiabatic case .

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/content/aip/journal/pop/16/4/10.1063/1.3095865
2009-04-09
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Spatiotemporal multiscaling analysis of impurity transport in plasma turbulence using proper orthogonal decomposition
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/4/10.1063/1.3095865
10.1063/1.3095865
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