Meshing 3D geometries defined on lattice

Asked by Abbas Shirinifard

Do we have to mesh multi-domain 3D geometries that are defined on a rectangular lattice to be able to use them with FEniCS? or FEnics is able to solve PDEs (e.g. reaction diffusion) on lattices.

The domains represent individual biological cells in a tissue (in CompuCell3D lattice-based simulation framework). Boundary of these domains move (slowly) so we have to re-mesh which I think will be expensive if we do it very often.

If we have to mesh, what are the options for meshing lattices that works with FEniCS?

Suggestions are much appreciated.

Abbas

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Johan Hake (johan-hake) said :
#1

On 11/20/2012 03:11 PM, Abbas Shirinifard wrote:
> New question #214742 on FEniCS Project:
> https://answers.launchpad.net/fenics/+question/214742
>
> Do we have to mesh multi-domain 3D geometries that are defined on a
> rectangular lattice to be able to use them with FEniCS? or FEnics is
> able to solve PDEs (e.g. reaction diffusion) on lattices.

How are these lattices given? DOLFIN only works with tetrahedrons, for
now, so you need to figure out a good way to transform you lattices mesh
into a tetrahedon mesh.

> The domains represent individual biological cells in a tissue (in
> CompuCell3D lattice-based simulation framework). Boundary of these
> domains move (slowly) so we have to re-mesh which I think will be
> expensive if we do it very often.

If only the boundary is moving you should be able to move vertices in
the tetrahedron mesh.

> If we have to mesh, what are the options for meshing lattices that
> works with FEniCS?

I do not know.

Johan

> Suggestions are much appreciated.
>
> Abbas
>

Revision history for this message
Abbas Shirinifard (abbas-shirinifard) said :
#2

Lattice data is in cubic pixel format.

Would GAMer (I found it in your webpage) mesh lattice data?

Revision history for this message
Johan Hake (johan-hake) said :
#3

On 11/20/2012 03:50 PM, Abbas Shirinifard wrote:
> Question #214742 on FEniCS Project changed:
> https://answers.launchpad.net/fenics/+question/214742
>
> Status: Answered => Open
>
> Abbas Shirinifard is still having a problem:
> Lattice data is in cubic pixel format.

Is it a binary data format?

> Would GAMer (I found it in your webpage) mesh lattice data?

It does read _a_ lattice data format, which is a binary data format
resulting from a segmentation of some image data. If it is the same data
it should work. There is however not a 1-1 correspondence between the
lattice data and the generated mesh.

Johan

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