Modeling A
==============


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


.. image:: images/Shape1.gif


.. _RefSchema_Shape1.gif:


.. image:: images/1000856C0000238E0000042216D09FED32478DE7.svg
    :width: 458
    :height: 53


.. _RefImage_1000856C0000238E0000042216D09FED32478DE7.svg:


.. csv-table::

    "Cutting:", "28 elements in length,"
    "", "8 elements in width."


Boundary conditions - loading (three calculations for three choices):


* calculation a: scalar loads and dualization of the Dirichlet condition:


.. code-block:: text
 TEMP_IMPO (NOEUD = 'N1', TEMP_SUP = 0., TEMP_MIL = 0., TEMP_INF = 0.)
ECHANGE (GROUP_MA =' GRSD1 ', COEF_H_SUP: 10., COEF_H_INF = 10. ,
TEMP_EXT_SUP = -50., TEMP_EXT_INF = -50.)
(GROUP_MA =' GRSD2 ', COEF_H_SUP = 10., COEF_H_INF = 10. ,
TEMP_EXT_SUP = 50., TEMP_EXT_INF = 50.)


* calculation b: constant load functions and dualization of the Dirichlet condition:

as above, but with constant functions having the same values.


* calculation c: scalar loads and "kinematic" loading:


.. code-block:: text
 THER_IMPO (NOEUD = 'N1', TEMP_SUP = 0., TEMP_MIL = 0., TEMP_INF = 0.)


Characteristics of the mesh
----------------------------

Number of knots: 969

Number of meshes and types: 448 meshes TRIA6


Tested values
---------------


+------------------------------------+--------+-------------+
|**Identification**                           |**Reference**|
+------------------------------------+--------+-------------+
|Bow :math:`\mathit{N201}`           |Temp_SUP|49.999       |
+------------------------------------+--------+-------------+
|:math:`(–10.\mathrm{,0}\mathrm{.})` |Temp_mil|49.999       |
+------------------------------------+--------+-------------+
|                                    |Temp_inf|49.999       |
+------------------------------------+--------+-------------+
|Bow :math:`\mathit{N176}`           |Temp_SUP|49.9658      |
+------------------------------------+--------+-------------+
|:math:`(–5.15\mathrm{,0}\mathrm{.})`|Temp_mil|49.9658      |
+------------------------------------+--------+-------------+
|                                    |Temp_inf|49.9658      |
+------------------------------------+--------+-------------+
|Bow :math:`\mathit{N171}`           |Temp_SUP|49.8888      |
+------------------------------------+--------+-------------+
|:math:`(–4.32\mathrm{,0}\mathrm{.})`|Temp_mil|49.8888      |
+------------------------------------+--------+-------------+
|                                    |Temp_inf|49.8888      |
+------------------------------------+--------+-------------+
|Bow :math:`\mathit{N166}`           |Temp_SUP|49.6631      |
+------------------------------------+--------+-------------+
|:math:`(–3.53\mathrm{,0}\mathrm{.})`|Temp_mil|49.6631      |
+------------------------------------+--------+-------------+
|                                    |Temp_inf|49.6631      |
+------------------------------------+--------+-------------+
|Bow :math:`\mathit{N161}`           |Temp_SUP|49.0542      |
+------------------------------------+--------+-------------+
|:math:`(–2.8\mathrm{,0}\mathrm{.})` |Temp_mil|49.0542      |
+------------------------------------+--------+-------------+
|                                    |Temp_inf|49.0542      |
+------------------------------------+--------+-------------+
|Node N156                           |Temp_SUP|47.556       |
+------------------------------------+--------+-------------+
|:math:`(–2.13\mathrm{,0}\mathrm{.})`|Temp_mil|47.556       |
+------------------------------------+--------+-------------+
|                                    |Temp_inf|47.556       |
+------------------------------------+--------+-------------+
|Bow :math:`\mathit{N141}`           |Temp_SUP|26.700       |
+------------------------------------+--------+-------------+
|:math:`(–0.54\mathrm{,0}\mathrm{.})`|Temp_mil|26.700       |
+------------------------------------+--------+-------------+
|                                    |Temp_inf|26.700       |
+------------------------------------+--------+-------------+
|Bow :math:`\mathit{N136}`           |Temp_SUP|11.830       |
+------------------------------------+--------+-------------+
|:math:`(–0.19\mathrm{,0}\mathrm{.})`|Temp_mil|11.830       |
+------------------------------------+--------+-------------+
|                                    |Temp_inf|11.830       |
+------------------------------------+--------+-------------+
|Bow :math:`\mathit{N11}`            |Temp_SUP|—26.700      |
+------------------------------------+--------+-------------+
|:math:`(0.54\mathrm{,0}\mathrm{.})` |Temp_mil|—26.700      |
+------------------------------------+--------+-------------+
|                                    |Temp_inf|—26.700      |
+------------------------------------+--------+-------------+
|Bow :math:`\mathit{N26}`            |Temp_SUP|— 47.556     |
+------------------------------------+--------+-------------+
|:math:`(2.13\mathrm{,0}\mathrm{.})` |Temp_mil|— 47.556     |
+------------------------------------+--------+-------------+
|                                    |Temp_inf|— 47.556     |
+------------------------------------+--------+-------------+

**Contents of the results file**


* Temperatures at the nodes of calculation a,


* heat flow on the middle sheet (calculation a),


* tested values reported above (calculations a, b, c).