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Re: Q: How to plot field lines?

• To: mathgroup at smc.vnet.net
• Subject: [mg27323] Re: Q: How to plot field lines?
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Wed, 21 Feb 2001 03:16:52 -0500 (EST)
• Organization: Universitaet Leipzig
• References: <96irfd$dcr@smc.vnet.net> <HQIj6.5846$Rl5.43848@ralph.vnet.net> <96t9j6$ps1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

a) closed field lines are a bit difficult.
b) have a look to the closed lines in :

  
http://phong.informatik.uni-leipzig.de/~kuska/visualsupp/tornadof.wrl.gz
  
http://phong.informatik.uni-leipzig.de/~kuska/visualsupp/cfloop3.wrl.gz

  
http://phong.informatik.uni-leipzig.de/~kuska/visualsupp/benzene2.wrl.gz

contact me personal if you need the details. The virtual reality
pictures
are a part of my scientific visulaisation lectures here.

c) did you try the line integral convolution ? The code is at

http://phong.informatik.uni-leipzig.de/~kuska/visualsupp/fastlic.tar.gz

no field lines but very nice.

Regards
  Jens

Robert wrote:
> 
> Jens-Peer Kuska wrote:
> 
> > Hi,
> > the extend graphics packages by Tom Wickham-Jones have
> > 2d & 3d fieldlines
> >
> > http://www.mathsource.com/Content/Enhancements/Graphics/3D/0208-976
> >
> 
> thanks, i know the package (i have got the book by the author, where the
> package is described and also some examples are
> given).
> 
> the problem is that the package doesn't really do what i want:
> 
> (1. there is an error in the package: the lines
> 
>     t2 = Part[ sol, 1, 0, 1, 2] ;
> 
> must be changed to
> 
>     t2 = Part[ sol, 1, 0, 1, 1, 2] ;)
> 
> 2. the package does quite ok if the field is rather simple and if there are no
> closed field lines.
> 
> but even with simple fields having closed lines, e.g. the magnetic field of a
> single line current, the program has problems calculating
> the field lines.
> 
> 3. the programs doesn't really plot "field lines", but only gives a
> quantitative picture of the field. in a "real" field line picture, you can
> imply from the density of the field lines to the absolute value of the local
> field vector. since with the package i have to choose the
> distance from one line to another by myself, this calculation would have to be
> done beforehand (therefore chosing the distance
> according to a "constant flux" between two lines), which isn't simple in
> general. of course, if i know the vector potential, the field
> lines can easily be constructed via a 'contourplot', but i'd been interested
> in a program which plots the lines directly from a given
> vector field.
> 
> i know that this problem isn't an easy task, but i hoped somehow somebody has
> solved it before ...
> 
> regards, robert