Talk-Polywell.org

When not counting collisions or particle-particle interactions/fields, a particle's path can be duplicated in 24 ways. Because of the inherent symmetries in the coil-generated fields. Or 48 ways with a little hack. And individual path will be chaotic indeed. My plan is to simulate a bunch of particl...

I looked more into symmetries:

http://www.mare.ee/indrek/ephi/symmetry2/

- Indrek

If I am not mistaken WB6 had 200 turns of copper in each coil. And they ran 1000 amperes through them. That makes 200,000 ampere-turns. Calculate here how strong of a field that makes for a single coil (around 1T for WB-6 I take): http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/curloo.html#c2 BT...

I made another release, ephi-0.14, this one has tricubic interpolation and sector based data division. See "otree.cpp" for a test application.

http://www.mare.ee/indrek/ephi/#download

- Indrek

Here's another piece of technology to use: tricubic interpolation. It comes with some implementation overhead but is doable. This website comes with info and code: http://www.lekien.com/~francois/papers/LeMa05/ Though be careful, the code there is less than efficient, so look only, write your own (I...

That's right. You just multiply it with a vector to get a transformed vector. See this for more information: http://en.wikipedia.org/wiki/Transformation_matrix What I'm doing is, have a point in space, I run it through the cube_polywell_transform() - the function itself already transforms the point,...

I worked out the transformation matrices and the code to do the mapping. You might find it useful:

http://www.mare.ee/indrek/ephi/symmetry ... rs.cpp.txt

- Indrek

I tried another approach:

http://www.mare.ee/indrek/ephi/symmetry/intersect.png
http://www.mare.ee/indrek/ephi/symmetry/intersect.gif

Long live POV-Ray and ImageMagick, they're perfect for this kind of stuff.

- Indrek

It seems I'm geometrically challenged as well. I had made an error in my original divisions. Instead one can reduce it to 1/48 as the triangular prism splits into three parts.

- Indrek

I started building an octree for 3D field interpolations and on the way worked out the symmetries in the cube polywell:

http://www.mare.ee/indrek/ephi/symmetry/

More geometric mayhem and megabytes of animated gifs.

- Indrek

My geometrically challenged friends, I made another, probably better image:

http://www.mare.ee/indrek/ephi/pef8/polycut.png

- Indrek

Yes. This is a cut through the "corners" of the cube polywell.

I tried to visualize it here, removed one of the top coils to make it more understandable:

http://www.mare.ee/indrek/ephi/pef8/cut.png

The checkerboard is the plane with the 4 coil intersections.

- Indrek

As I said this is an electro-STATIC simulation. It's not a dynamic system in evolution, we don't have any particles or plasma present. We set up the structural components of the system at preset potentials and we simulate the space charge as a crude sphere of uniform charge in the middle. From that ...

Go for it.

- Indrek

I redid my electrostatic analysis:

http://www.mare.ee/indrek/ephi/pef8/

- Indrek