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Wavelet-based coherent vorticity sheet and current sheet extraction from three-dimensional homogeneous magnetohydrodynamic turbulence
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10.1063/1.3195066
/content/aip/journal/pop/16/8/10.1063/1.3195066
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/8/10.1063/1.3195066

Figures

Image of FIG. 1.
FIG. 1.

The evolution of the energy dissipation rate per unit mass, , in runs 1 and 2 performed up to and , respectively. Here, is the initial large eddy turnover time defined by , and is the initial integral length scale given by .

Image of FIG. 2.
FIG. 2.

Isosurfaces of vorticity (left) and current density (right) of the total (top), coherent (middle), and incoherent contributions (bottom) in . The values of the isosurfaces are taken as for the total and coherent vorticity and for the current density. For the incoherent vorticity and current density fields, the isosurfaces are set to and , respectively. Here, and are the mean values of and for the total vorticity and current density fields, respectively, and and are standard deviation values of and , respectively. Cubes of size are visualized.

Image of FIG. 3.
FIG. 3.

PDFs of the components of (a) the velocity and (b) the magnetic fields for the total, coherent, and incoherent fields in . Dotted lines: The Gaussian distributions with zero mean and the same standard deviation as each corresponding incoherent component.

Image of FIG. 4.
FIG. 4.

PDFs of the components of (a) the vorticity and (b) the current density fields for the total, coherent, and incoherent fields in .

Image of FIG. 5.
FIG. 5.

(a) Kinetic and (b) magnetic energy spectra of the total, coherent, and incoherent fields in .

Image of FIG. 6.
FIG. 6.

Energy fluxes in .

Image of FIG. 7.
FIG. 7.

Scale-dependent flatness of (a) velocity and (b) magnetic fields vs in .

Image of FIG. 8.
FIG. 8.

Scale-dependent compression rates and vs in for and .

Image of FIG. 9.
FIG. 9.

Scale-dependent overlap rate vs in .

Image of FIG. 10.
FIG. 10.

(a) Kinetic and (b) magnetic enstrophy spectra of divergence-free parts in .

Image of FIG. 11.
FIG. 11.

Compression rates and vs number of iterations in for and .

Image of FIG. 12.
FIG. 12.

Scale-dependent overlap rate vs in . The rates for and are denoted by the solid curve with and the dashed curve with ●, respectively.

Tables

Generic image for table
Table I.

DNS parameters of runs 1 and 2. Here, is the maximum wavenumber of the retained modes and is the time increment. Note that .

Generic image for table
Table II.

Characteristics of the two DNS runs at .

Generic image for table
Table III.

Overall compression rates and , the percentages of the number of the wavelet coefficients retained by the coherent vorticity and current density fields over all scales, respectively, and percentages of kinetic energy, magnetic energy, kinematic enstrophy, and magnetic enstrophy kept by the coherent and incoherent fields. The CVCE method is applied to .

Generic image for table
Table IV.

Statistical properties of the total, coherent, and incoherent fields obtained by CVCE applied to .

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/content/aip/journal/pop/16/8/10.1063/1.3195066
2009-08-14
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Wavelet-based coherent vorticity sheet and current sheet extraction from three-dimensional homogeneous magnetohydrodynamic turbulence
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/8/10.1063/1.3195066
10.1063/1.3195066
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