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

**From**: |
Stephane Del Pino |

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

**Date**: |
Thu, 1 Feb 2007 23:54:24 +0100 |

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

Hello Emilio.
I think you need some enlightenment about the fictitious domain method that
you are using in the ff3d:
A fictitious domain method consists in using a mesh that does not match the
geometry of the problem that you want to solve.
For instance look at the attached picture. Suppose that you want to solve a
problem in the blue domain (left part). The fictitious domain method will use
a cartesian mesh to solve the problem. With ff3d's approach, only the blue
cells will be used for the computation: some vertices (outside of the domain)
are needed to build a good approximation of the solution inside the domain.
So (to simplify, in fact it is a bit more tricky) you can consider that when
you use the tetrahedrize keyword, you do not see the geometry of the domain,
but all the cells that are used to compute the solution.
Post-processing of fictitious domain approximation is not an easy task: often,
the solution is better than it looks like...
Best regards,
Stéphane.

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**`fdm.jpg`

*Description:* JPEG image