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


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

**3D (HEXA27)**


.. image:: images/Object_2.svg
    :width: 539
    :height: 352


.. _RefImage_Object_2.svg:


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


.. csv-table::

    "Number of knots:", "153"
    "Number of meshes and types:", "8 HEXA27 (and 32 QUAD9)"



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


+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|**Identification**                |**Reference**|**Aster**|**Relative difference (%)**              |**Absolute deviation (°C)**              |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|                        |         |             |         |**difference**             |**tolerance**|**difference**             |**tolerance**|
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|Temperature :math:`(°C)`          |             |         |                           |             |                           |             |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|At the end of the bar             |             |         |                           |             |                           |             |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|:math:`Y=L`                       |20.329       |         |                           |             |                           |             |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|                        |         |             |         |                           |             |                           |             |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|B                       |N97 ROAD |20.329       |20.295   |0.166                      |1%           |0.0338                     |0.5          |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|BF medium               |N99 ROAD |20.329       |20.327   |0.010                      |1%           |0.0021                     |0.5          |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|F                       |N98 ROAD |20.329       |20.295   |0.166                      |1%           |0.0338                     |0.5          |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|FG medium               |N101 ROAD|20.329       |20.327   |0.010                      |1%           |0.0021                     |0.5          |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|G                       |N103 ROAD|20.329       |20.295   |0.166                      |1%           |0.0338                     |0.5          |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|GC environment          |N104 ROAD|20.329       |20.327   |0.010                      |1%           |0.0021                     |0.5          |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|C                       |N102 ROAD|20.329       |20.295   |0.166                      |1%           |0.0338                     |0.5          |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|CB medium               |N100 ROAD|20.329       |20.327   |0.010                      |1%           |0.0021                     |0.5          |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+
|Middle of the face      |N108 ROAD|20.329       |20.359   |0.146                      |1%           |0.0297                     |0.5          |
+------------------------+---------+-------------+---------+---------------------------+-------------+---------------------------+-------------+


notes
---------

Volume heat :math:`\rho {C}_{P}` is not a step in this test, but must be declared for*Code_Aster*. We take :math:`\rho {C}_{P}=1.0J/{m}^{\mathrm{3 }}°C`.

Boundary condition :math:`\varphi =0.` is implicit on free edges.

The small differences that remain correspond to a temperature gradient in the observed section. This is consistent with the modelled physical phenomenon.