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


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

**3D (HEXA8)**


.. image:: images/Object_3.svg
    :width: 525
    :height: 293


.. _RefImage_Object_3.svg:


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


.. csv-table::

    "Number of knots:", "343"
    "Number of meshes and types:", "216 HEXA8 (and 216 QUAD8)"



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`.


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


+------------------+---------------------+-------------+
|**Identification**                      |**Reference**|
+------------------+---------------------+-------------+
|**Point**         |**Knot**             |:math:`T(°C)`|
+------------------+---------------------+-------------+
|:math:`O`         |:math:`\mathit{N169}`|22.5         |
+------------------+---------------------+-------------+
|:math:`A`         |:math:`\mathit{N5}`  |35.0         |
+------------------+---------------------+-------------+
|:math:`B`         |:math:`\mathit{N301}`|26.0         |
+------------------+---------------------+-------------+
|:math:`C`         |:math:`\mathit{N337}`|10.0         |
+------------------+---------------------+-------------+
|:math:`D`         |:math:`\mathit{N49}` |19.0         |
+------------------+---------------------+-------------+
|:math:`E`         |:math:`\mathit{N151}`|30.5         |
+------------------+---------------------+-------------+
|:math:`F`         |:math:`\mathit{N316}`|18.0         |
+------------------+---------------------+-------------+
|:math:`G`         |:math:`\mathit{N196}`|14.5         |
+------------------+---------------------+-------------+
|:math:`H`         |:math:`\mathit{N24}` |27.0         |
+------------------+---------------------+-------------+
|:math:`I`         |:math:`\mathit{N1}`  |29.0         |
+------------------+---------------------+-------------+
|:math:`J`         |:math:`\mathit{N298}`|20.0         |
+------------------+---------------------+-------------+
|:math:`K`         |:math:`\mathit{N340}`|4.0          |
+------------------+---------------------+-------------+
|:math:`L`         |:math:`\mathit{N44}` |13.0         |
+------------------+---------------------+-------------+
|:math:`M`         |:math:`\mathit{N172}`|16.5         |
+------------------+---------------------+-------------+
|:math:`N`         |:math:`\mathit{N2}`  |41.0         |
+------------------+---------------------+-------------+
|:math:`P`         |:math:`\mathit{N297}`|32.0         |
+------------------+---------------------+-------------+
|:math:`Q`         |:math:`\mathit{N338}`|16.0         |
+------------------+---------------------+-------------+
|:math:`R`         |:math:`\mathit{N43}` |25.0         |
+------------------+---------------------+-------------+
|:math:`S`         |:math:`\mathit{N173}`|28.5         |
+------------------+---------------------+-------------+


.. csv-table::

    "**Point**", "**Mesh**", "**Knot**", ":math:`\phi (W/{m}^{2})`"
    ":math:`{\phi }_{x}` :math:`K` "," :math:`\mathit{M211}` "," :math:`\mathit{N340}` ", "45.0"
    ":math:`{\phi }_{x}` :math:`F` "," :math:`\mathit{M201}` "," :math:`\mathit{N316}` ", "45.0"
    ":math:`{\phi }_{x}` :math:`O` "," :math:`\mathit{M129}` "," :math:`\mathit{N169}` ", "45.0"
    ":math:`{\phi }_{y}` :math:`K` "," :math:`\mathit{M211}` "," :math:`\mathit{N340}` ", "60.0"
    ":math:`{\phi }_{y}` :math:`F` "," :math:`\mathit{M201}` "," :math:`\mathit{N316}` ", "60.0"
    ":math:`{\phi }_{y}` :math:`O` "," :math:`\mathit{M129}` "," :math:`\mathit{N169}` ", "60.0"
    ":math:`{\phi }_{z}` :math:`K` "," :math:`\mathit{M211}` "," :math:`\mathit{N340}` ", "30.0"
    ":math:`{\phi }_{z}` :math:`F` "," :math:`\mathit{M201}` "," :math:`\mathit{N316}` ", "30.0"
    ":math:`{\phi }_{z}` :math:`O` "," :math:`\mathit{M129}` "," :math:`\mathit{N169}` ", "30.0"



.. csv-table::

    "**Face**", "**Resulting normal flow** :math:`{\int }_{\mathit{face}}\varphi \mathrm{.}n\mathit{dS}` **(** :math:`W` **)**"
    ":math:`y=0.1` ", "-60.0"


**Thermal energy field tests** ETHE_ELEM **:**

Isotropic material


.. csv-table::

    "**Mesh**", "**Reference value**", "**Precision (in%)**", "**Reference**"
    ":math:`\mathit{M109}` "," :math:`-\mathrm{170,1559513297}` "," :math:`\mathrm{0,1}` "," AUTRE_ASTER"


Orthotropic material


.. csv-table::

    "**Mesh**", "**Reference value**", "**Precision (in%)**", "**Reference**"
    ":math:`\mathit{M109}` "," :math:`-\mathrm{332,36296035464}` "," :math:`\mathrm{1,0E-04}` "," NON_REGRESSION"