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


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

**3D (PENTA6, HEXA8)**


.. image:: images/1000000000000230000000E6667ACC18E40B1A7A.png
    :width: 5.5398in
    :height: 2.4102in


.. _RefImage_1000000000000230000000E6667ACC18E40B1A7A.png:


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


.. csv-table::

    "Number of knots:", "1313"
    "Number of meshes and types:", "300 PENTA6, 600 HEXA8 (and 300 QUAD4)"



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


.. csv-table::

    "**Identification**", "**Reference**", "**tolerance**"
    "Temperature (:math:`°C`)", "", ""
    "", "", ""
    ":math:`z\mathrm{=}0.0` :math:`r\mathrm{=}.0` (:math:`\mathit{n1}`: :math:`A`)", "0.0000", ".00001"
    ":math:`r\mathrm{=}.01` (:math:`\mathit{n13}`: :math:`D`)", "0.0000", ".00001"
    ":math:`z\mathrm{=}0.1` :math:`r\mathrm{=}.0` (:math:`\mathit{n131}`)", "0.3694"," 1%"
    ":math:`r\mathrm{=}.01` (:math:`\mathit{n143}`)", "0.3694"," 1%"
    ":math:`z\mathrm{=}0.2` :math:`r\mathrm{=}.0` (:math:`\mathit{n261}`)", "0.9718"," 1%"
    ":math:`r\mathrm{=}.01` (:math:`\mathit{n273}`)", "0.9718"," 1%"
    ":math:`z\mathrm{=}0.3` :math:`r\mathrm{=}.0` (:math:`\mathit{n391}`)", "2.1870"," 1%"
    ":math:`r\mathrm{=}.01` (:math:`\mathit{n403}`)", "2.1870"," 1%"
    ":math:`z\mathrm{=}0.4` :math:`r\mathrm{=}.0` (:math:`\mathit{n521}`)", "4.7815"," 1%"
    ":math:`r\mathrm{=}.01` (:math:`\mathit{n533}`)", "4.7815"," 1%"
    ":math:`z\mathrm{=}0.5` :math:`r\mathrm{=}.0` (:math:`\mathit{n651}`)", "10.392"," 1%"
    ":math:`r\mathrm{=}.01` (:math:`\mathit{n663}`)", "10.392"," 1%"
    ":math:`z\mathrm{=}0.6` :math:`r\mathrm{=}.0` (:math:`\mathit{n781}`)", "22.555"," 1%"
    ":math:`r\mathrm{=}.01` (:math:`\mathit{n793}`)", "22.555"," 1%"
    ":math:`z\mathrm{=}0.7` :math:`r\mathrm{=}.0` (:math:`\mathit{n911}`)", "48.944"," 1%"
    ":math:`r\mathrm{=}.01` (:math:`\mathit{n923}`)", "48.944"," 1%"
    ":math:`z\mathrm{=}0.8` :math:`r\mathrm{=}.0` (:math:`\mathit{n1041}`)", "106.20"," 1%"
    ":math:`r\mathrm{=}.01` (:math:`\mathit{n1053}`)", "106.20"," 1%"
    ":math:`z\mathrm{=}0.9` :math:`r\mathrm{=}.0` (:math:`\mathit{n1171}`)", "230.44"," 1%"
    ":math:`r\mathrm{=}.01` (:math:`\mathit{n1183}`)", "230.44"," 1%"
    ":math:`z\mathrm{=}1.0` :math:`r\mathrm{=}.0` (:math:`\mathit{n1301}` :B)", "500.00", ".00001"
    ":math:`r\mathrm{=}.01` (:math:`\mathit{n1313}` :C)", "500.00", ".00001"


(*: Imposed temperature)


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.