pysces.Vortices¶

class pysces.Vortices(positions=None, strengths=None)¶

__init__(positions=None, strengths=None)¶

Methods

`__init__`([positions, strengths])
`append`(position, strength)
`induced_velocity`([x, motion])	Compute the induced velocity at the given point(s)
`induced_velocity_single`(x, xvort, gam)	Compute velocity induced at points x by a single vortex

Attributes

`circulation`
`core_radius`
`positions`
`strengths`

induced_velocity(x=None, motion=None)¶: Compute the induced velocity at the given point(s)

induced_velocity_single(x, xvort, gam)¶

Compute velocity induced at points x by a single vortex

This method returns a vector of velocities at the points x induced by a single vortex of strength gam located at xvort.

Parameters:

x : 2d array

Locations at which to compute induced velocity. Expressed as column vectors (i.e., shape should be (n,2))

xvort : 1d array

Location of vortex (shape should be (2,))

gam : float

Strength of vortex

Notes

Induced velocity is

$u_\theta = \frac{\Gamma}{2 \pi r}$

where r is the distance between the point and the vortex. If this distance is less than core_radius $r_0$ , the velocity is regularized as solid-body rotation, with

$u_\theta = \frac{\Gamma r}{2\pi r_0^2}$