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


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

**2D modeling:**


.. image:: images/10000000000001CA000001BF0B1C56DF4A2A06E6.png
    :width: 3.55in
    :height: 3.5193in


.. _RefImage_10000000000001CA000001BF0B1C56DF4A2A06E6.png:


Boundary conditions and loads
-------------------------------------


.. csv-table::

    "Outgoing flow through wall :math:`{B}_{1}{C}_{1}` identical to inflow through wall :math:`{A}_{2}{D}_{2}` ", ""
    "Temperature imposed in :math:`{A}_{1}`
    Temperature imposed in :math:`{B}_{2}` "," :math:`T=0.°C`
    :math:`T=4.5°C`"
    "Normal flow imposed on the wall :math:`{B}_{2}{C}_{2}`
    Normal flow imposed on plans :math:`{C}_{1}{D}_{1}` and :math:`{C}_{2}{D}_{2}` "," :math:`\varphi =\mathrm{3.W}/{m}^{2}`
    :math:`\varphi =\mathrm{6.W}/{m}^{2}`"
    "Source imposed in domain 1
    Source imposed in field 2", ":math:`{s}_{1}`
    :math:`{s}_{2}`"



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

6 QUAD8

36 knots


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


.. csv-table::

    "**Identification**
    **Temperature**", "**Reference**"
    "node :math:`\mathit{N2}` (:math:`{B}_{1}`)", "1.00"
    "node :math:`\mathit{N3}` ", "2.00"
    "node :math:`\mathit{N6}` ", "1.25"
    "node :math:`\mathit{N11}` ", "3.25"
    "node :math:`\mathit{N9}` ", "5.00"
    "node :math:`\mathit{N16}` ", "7.25"
    "node :math:`\mathit{N14}` (:math:`{C}_{1}`)", "10.00"
    "node :math:`\mathit{N19}` (:math:`{A}_{2}`)", "2.00"
    "node :math:`\mathit{N22}` ", "3.00"
    "node :math:`\mathit{N26}` ", "2.25"
    "node :math:`\mathit{N31}` ", "4.25"
    "node :math:`\mathit{N28}` ", "6.00"
    "node :math:`\mathit{N36}` ", "8.25"
    "knot :math:`\mathit{N33}` (:math:`{D}_{2}`)", "11.00"



notes
---------

Since the shape functions of element QUAD8 are of order 2, it is natural to obtain the reference solution which is expressed in the form of a polynomial of order 2.

The command file submitted contains a list of moments and calls command THER_LINEAIRE to perform a transitory calculation that is not of interest, the volume heat coefficient being taken to be equal to 0.