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## Re: [ff3d-users] Inner wall definitions

**From**: |
Stephane Del Pino |

**Subject**: |
Re: [ff3d-users] Inner wall definitions |

**Date**: |
Fri, 26 Jan 2007 09:14:58 +0100 |

**User-agent**: |
KMail/1.9.5 |

Hello.
If I understand your question, you want to define different boundary
conditions on a cylinder using the fictitious domain approach of ff3d?
To do so, define a long cylinder using the POVRay description:
it should have the radius of the cylinder that defines your geometry. Then
define the embedding structured 3d mesh so that its intersection with the
cylinder define your domain.
You can then use 2 different boundary conditions for the base and the top of
the cylinder defining them using the background mesh and another one on the
cylinder side.
for instance if the mesh is 'm', your cylinder axis is along the 'y' direction
and its reference is <1,0,0>, and 'd' is the computational domain, you can do
solve (u) in m by d
{
pde(u)
-div(grad(u)) = f;
u = 0 on M ymin;
u = 0 on <1,0,0>;
dnu(u) = 0 on M ymax;
}
If you want ,you can also define completely your cylinder in POVRay using the
intersection of a plane and a (POV) cylinder : then you have 2 different
references ... I prefer the first approach.
Does this answers your question?
Best regards,
Stephane.