Thank you. Because of the regular nature of the original data, it is easy
to make it all triangles.

Cheers,
Jamie

On Wed, Jun 8, 2016 at 2:10 PM, Guyer, Jonathan E. Dr. (Fed) <
jonathan.gu...@nist.gov> wrote:

> Meshes with holes are not a problem for FiPy. Daniel will be happy to help
> you create a Mesh2D from the output of the triangle package. Basically, you
> need a list of vertex coordinates, a list of vertex IDs that make up faces,
> and a list of faces that make up cells. Having all triangles should be
> pretty easy; it gets messy when you've got mixes of different cell
> topologies.
>
> > On Jun 8, 2016, at 10:57 AM, James Pringle <jprin...@unh.edu> wrote:
> >
> > Thank you; the axes were indeed in grid spacing, and your back of the
> envelope calculation of sparsity was exactly correct.
> >
> > I am now playing around with the python triangle package to create a
> triangular mesh with the appropriate holes and boundary defined. (e.g.
> https://urldefense.proofpoint.com/v2/url?u=http-3A__dzhelil.info_triangle__data-2D4.png&d=CwICAg&c=c6MrceVCY5m5A_KAUkrdoA&r=oMf1-WHpUHeD7kN3S7612CDdF2TDPqDF9R-n-71Ks1Y&m=k71WczOQwQx8_RK9cU8wRK_X2spChhXjIrj5C0zWgw4&s=Qk6jAmccEUMVpP5TFa_gtI6T1b4bSBcRfmUOVIkzC-s&e=
> ) .
> >
> > What is the best way to covert the triangle data (similar in form to
> scipy.spatial.Delaunay output) into the form fipy likes -- or what is the
> best documentation of the fipy mesh data structure?
> >
> > Does FiPy have the capability to deal with holes in a triangle mesh, and
> have BC's on them? I did see the trick that Danial Wheeler mentioned.
> Thanks!
> >
> > After I get the mesh, I was planing to reverse engineer the output of
> fipy.meshes.gmshMesh.Gmsh2D to figure out how to get my mesh into fipy if
> you don't mention something better.
> >
> > Thanks a bunch,
> > Jamie
> >
> > On Wed, Jun 8, 2016 at 1:46 PM, Guyer, Jonathan E. Dr. (Fed) <
> jonathan.gu...@nist.gov> wrote:
> > If the domain were not so large and so sparse, I'd be inclined to create
> a simple, rectilinear Grid2D of the full extent and then use known
> coefficients to mask out (set B to zero?) the solution where you don't
> know/care.
> >
> > Assuming the axes are labeled in grid spacings (?), then your mesh would
> have around 5 million elements in it, with fewer than 1 million actually
> being solved (although it looks like even less than 20% of the domain is
> active). I don't think that would perform very well.
> >
> > I'm not thinking of anything clever with Gmsh off the top of my head.
> >
> > You could break the total domain into sub-grids, only instantiate the
> corresponding Grid2D's if they're not empty, and then concatenate them
> together. Sketching:
> >
> >     A     B     C     D
> >  +-----+-----+-----+-----+
> > 1|     | **  |     |     |
> >  |     |  ** |     |     |
> >  +-----+-----+-----+-----+
> > 2|     |    *|**   |     |
> >  |     |     |* *  |     |
> >  +-----+-----+-----+-----+
> > 3|     |     | *** |     |
> >  |     |     |  ***|     |
> >  +-----+-----+-----+-----+
> > 4|     |     |   **|*    |
> >  |     |     |    *| *   |
> >  +-----+-----+-----+-----+
> >
> >
> > mesh = gridB1 + gridB2 + gridC2 + gridC3 + gridC4 + gridD4
> >
> >
> >
> >
> > > On Jun 7, 2016, at 10:46 AM, James Pringle <jprin...@unh.edu> wrote:
> > >
> > > Dear mailing list & developers --
> > >
> > >     I am looking for hints on the best way to proceed in creating a
> grid/mesh for a rather complex geometry. I am just looking for which method
> (Gmsh or something else?) to start with, so I can most efficiently start
> coding without exploring blind alleys.
> > >
> > > I am solving an elliptic/advective problem of the form
> > >
> > >         0=J(Psi,A(x,y)) + \Del(B(x,y)*\Del Psi)
> > >
> > > where Psi is the variable to solve for, and A(x,y) and B(x,y) are
> coefficients known on a set of discrete points shown as black in
> https://urldefense.proofpoint.com/v2/url?u=https-3A__dl.dropboxusercontent.com_u_382250_Grid01.png&d=CwICAg&c=c6MrceVCY5m5A_KAUkrdoA&r=oMf1-WHpUHeD7kN3S7612CDdF2TDPqDF9R-n-71Ks1Y&m=pa2VS0gonWbqlcwLDzR4QyP-iFHDpvnSHIqg-fk0QD4&s=ctz2HUgelmtveB6M5tJgv57BV8OqeCl3-MMJoIQOtmk&e=
> . The black appears solid because the grid is dense.
> > >
> > > The locations of the points where the coefficients are known define
> the grid. The number of points is large (911130 points) and they are evenly
> spaced where they exist. Note that there are holes in the domain that
> represent actual islands in the ocean.
> > >
> > > I am happy to keep the resolution of the grid/mesh equal to the
> spacing of the points where the coefficients are known.
> > >
> > > What is the best way to approach creating a grid for this problem? I
> would love code, of course, but would be very happy with suggestions of the
> best way to start.
> > >
> > > Thanks
> > > Jamie Pringle
> > > University of New Hampshire
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