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Re: VectorPlot on a Circle

• To: mathgroup at smc.vnet.net
• Subject: [mg114784] Re: VectorPlot on a Circle
• From: Patrick Scheibe <pscheibe at trm.uni-leipzig.de>
• Date: Fri, 17 Dec 2010 03:27:44 -0500 (EST)
• References: <ie297c$mrj$1@smc.vnet.net> <201012130852.DAA09458@smc.vnet.net> <201012161049.FAA11856@smc.vnet.net>

Hi,

what about

VectorPlot[{x, y}, {x, -1, 1}, {y, -1, 1}, 
 RegionFunction -> Function[{x, y}, x^2 + y^2 < 1]]

?

Cheers
Patrick


On Dec 16, 2010, at 11:49 AM, Dave Snead wrote:

> Hi,
> 
> I'm trying to do a vector plot but confine the vectors to a unit circle.
> 
> VectorPlot[
> If[Abs[x^2 + y^2 - 1] == 0, {x, y}, {0, 0}], {x, -1, 1}, {y, -1, 1}]
> only plots a couple of vectors, not the dense set of vectors that I want.
> 
> and 
> VectorPlot[
> If[Abs[x^2 + y^2 - 1] <.1, {x, y}, {0, 0}], {x, -1, 1}, {y, -1, 1}]
> plots lots of vectors but they're on an annulus rather than a circle.
> 
> Is there any way to do this?
> 
> Or more generally is there any way to confine the vectors to a curve.
> Or, kicking the dimension up by 1, can VectorPlot3D confine the vectors
> to a surface?
> 
> Thanks,
> Dave Snead
> 
> 

• References:
  • Re: vector/matrix indexed from zero
    • From: Norbert Marxer <marxer@mec.li>
  • VectorPlot on a Circle
    • From: "Dave Snead" <dsnead6@charter.net>