E modeling
==============


Characteristics of modeling E
-------------------------------------

The fifth cut we are testing corresponds to a case where one of the edges of TETRA10 sees the *lsn* cancel out exactly twice, at one of its ends and at its midpoint, while an adjacent edge sees the *lsn* cancel out on its 3 nodes. An example of this configuration is shown in Figure.


.. image:: images/10000000000002B7000002EF59A8264727F237F9.jpg
    :width: 4.2236in
    :height: 4.5126in


.. _RefImage_10000000000002B7000002EF59A8264727F237F9.jpg:

**Figure** 6.1-a **: representation of the cut of the E modeling**

For cutting, we come back to the more classical case represented in Figure, whose subtetrahedron cutting is detailed in [:ref:`R7.02.12 <R7.02.12>`].


.. image:: images/1000000000000244000002E6DEB24E55E2C69D08.jpg
    :width: 4.289in
    :height: 4.2673in


.. _RefImage_1000000000000244000002E6DEB24E55E2C69D08.jpg:

**Figure** 6.1-b **: :** **corresponding healthy configuration**


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.


.. image:: images/10000000000002900000030FB99AC603B0BCC33C.jpg
    :width: 3.9646in
    :height: 4.5445in


.. _RefImage_10000000000002900000030FB99AC603B0BCC33C.jpg:

**Figure** 6.2-a **: value of the** *lsn* **in each node for E** modeling

The edges of TETRA are then intersected by the *level set* at the following 5 points:


.. csv-table::

    "Intersection point", "Coordinates"
    "IP1 ", "(1,0,0)"
    "IP2 ", "(0,0.1)"
    "IP3 ", "(0.5,0.5,0)"
    "IP4 ", "(0.5,0,0.5)"
    "IP5 ", "(0,0,0.7)"



Tested sizes and results
------------------------------

After executing command MODI_MODELE_XFEM, we check that the 5 intersection points IP1, IP2,, IP3, IP4 and IP5 are in the group NFISSU and that their position is correct.


.. csv-table::

    "Quantities tested", "Reference type", "Reference value", "Tolerance"
    "COORX IP1 ", "'ANALYTIQUE'", "1.0", "10E-06"
    "COORY IP1 ", "'ANALYTIQUE'", "0.0", "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'", "0.5", "10E-06"
    "COORY IP3 ", "'ANALYTIQUE'", "0.5", "10E-06"
    "COORZ IP3 ", "'ANALYTIQUE'", "0.0", "10E-06"
    "COORX IP4 ", "'ANALYTIQUE'", "0.5", "10E-06"
    "COORY IP4 ", "'ANALYTIQUE'", "0.0", "10E-06"
    "COORZ IP4 ", "'ANALYTIQUE'", "0.5", "10E-06"
    "COORX IP5 ", "'ANALYTIQUE'", "0.0", "10E-06"
    "COORY IP5 ", "'ANALYTIQUE'", "0.0", "10E-06"
    "COORZ IP5 ", "'ANALYTIQUE'", "0.7", "10E-06"


The cut mesh (Figure) was also post-processed using SALOME. The cut obtained is in accordance with expectations, with 3 subtetrahedra that are consistent with the discontinuity.

.. image:: images/10000000000002890000030A91972C036AD6065B.png
    :width: 4.5862in
    :height: 4.228in


.. _RefImage_10000000000002890000030A91972C036AD6065B.png:


.. image:: images/10000000000003A300000315E194164EE8E36058.png
    :width: 4.5862in
    :height: 4.1047in


.. _RefImage_10000000000003A300000315E194164EE8E36058.png:

**Figure** 6.3-a **: E modeling cutting configuration**