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Generalized local induction equation, elliptic asymptotics, and simulating superfluid turbulence
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10.1063/1.3696689
/content/aip/journal/jmp/53/3/10.1063/1.3696689
http://aip.metastore.ingenta.com/content/aip/journal/jmp/53/3/10.1063/1.3696689
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Global and local coordinate geometry. In subfigure (a) the vortex arc is depicted in where the circle parameterization, C, is composed of the solid line representing the vortex filament and a dashed line representing a continuation of the parameterization. These two regions are separated by the cutoff parameter L. This subfigure also shows the spherical decomposition of the field point x where γ1 is the azimuthal angle and γ2 is the polar angle associated with the spherical decomposition of x. Lastly, this subfigure shows the configuration of the Serret-Frenet local basis vectors , which, for ease of use, are oriented to correspond to the standard global basis vectors for . In subfigure (b) the projection of subfigure (a) onto the xy plane is given and shows the polar decomposition of the filament point .

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/content/aip/journal/jmp/53/3/10.1063/1.3696689
2012-03-22
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Generalized local induction equation, elliptic asymptotics, and simulating superfluid turbulence
http://aip.metastore.ingenta.com/content/aip/journal/jmp/53/3/10.1063/1.3696689
10.1063/1.3696689
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