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Re: VectorPlot on a Circle

• To: mathgroup at smc.vnet.net
• Subject: [mg114791] Re: VectorPlot on a Circle
• From: Murray Eisenberg <murray at math.umass.edu>
• Date: Fri, 17 Dec 2010 03:29:01 -0500 (EST)
• References: <ie297c$mrj$1@smc.vnet.net> <201012130852.DAA09458@smc.vnet.net> <201012161049.FAA11856@smc.vnet.net>
• Reply-to: murray at math.umass.edu

Perhaps ListVectorPlot will help.

On 12/16/2010 5:49 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
>
>

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305

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