7. F modeling#
7.1. Characteristics of F modeling#
The sixth cut we are testing corresponds to a case where one of the edges of TETRA10 sees the lsn cancel out at its 3 nodes while two adjacent edges see the lsn cancel out exactly twice, at one of its ends and at its midpoint. An example of this configuration is shown in Figure.
Figure 7.1-a : representation of the cut of the F modeling
For cutting, we come back to the more classical case represented in Figure, whose subtetrahedron cutting is detailed in [R7.02.12].
Figure 7.1-b : : corresponding healthy configuration
7.2. Characteristics of the mesh#
To « find yourself » in this cutting configuration, lsn is defined node by node. Indeed, it is difficult for the*lsn* to show a function that brings us back to the configuration of Figure. The*lsn* value for each node is summarized in Figure.
Figure 7.2-a : value of the lsn in each node for F modeling
The edges of TETRA are then intersected by the level set at the following 6 points:
Intersection point |
Coordinates |
IP1 |
(0,1,0) |
IP2 |
(0,0.1) |
IP3 |
(0,0.5,0.5) |
IP4 |
(0,0.5,0) |
IP5 |
(0.5,0,0.5) |
IP6 |
(\(\frac{2}{3}\) ,0,0) |
7.3. Tested sizes and results#
After executing command MODI_MODELE_XFEM, we check that the 6 intersection points IP1, IP2,, IP3,, IP4, IP5 and IP6 are in the group NFISSU and that their position is correct.
Quantities tested |
Reference type |
Reference value |
Tolerance |
COORX IP1 |
“ANALYTIQUE” |
0.0 |
10E-06 |
COORY IP1 |
“ANALYTIQUE” |
1.0 |
10E-06 |
COORZ IP1 |
“ANALYTIQUE” |
0.0 |
10E-06 |
COORX IP2 |
“ANALYTIQUE” |
0.0 |
10E-06 |
COORY IP2 |
“ANALYTIQUE” |
0.0 |
10E-06 |
COORZ IP2 |
“ANALYTIQUE” |
1.0 |
10E-06 |
COORX IP3 |
“ANALYTIQUE” |
0.0 |
10E-06 |
COORY IP3 |
“ANALYTIQUE” |
0.5 |
10E-06 |
COORZ IP3 |
“ANALYTIQUE” |
0.5 |
10E-06 |
COORX IP4 |
“ANALYTIQUE” |
0.0 |
10E-06 |
COORY IP4 |
“ANALYTIQUE” |
0.5 |
10E-06 |
COORZ IP4 |
“ANALYTIQUE” |
0.0 |
10E-06 |
COORX IP5 |
“ANALYTIQUE” |
0.5 |
10E-06 |
COORY IP5 |
“ANALYTIQUE” |
0.0 |
10E-06 |
COORZ IP5 |
“ANALYTIQUE” |
0.5 |
10E-06 |
COORZ IP6 |
“ANALYTIQUE” |
0.66666666666 |
10E-06 |
COORZ IP6 |
“ANALYTIQUE” |
0.0 |
10E-06 |
COORZ IP6 |
“ANALYTIQUE” |
0.0 |
10E-06 |
The cut mesh (Figure) was also post-processed using SALOME. The cut obtained is in accordance with expectations, with 6 subtetrahedra that are consistent with the discontinuity.
Figure 7.3-a : F modeling cutting configuration