Key calculation options in Code_Aster
=============================================

Below are the main *Code_Aster* options specific to the workflow of the algorithm [:ref:`éq 5-1 <éq 5-1>`], [:ref:`éq 5-2 <éq 5-2>`] above. On the other hand, we will not mention the options that are not specific to *Code_Aster* and that are used in the calculation:


* Boundary conditions:


.. csv-table::

    "Linear Fourier", "RIGI_THER_COET_R"
    "", "RIGI_THER_COET_F :math:`\underset{{\mathrm{\partial }}_{1}\Omega }{\mathrm{\int }}\gamma {T}^{n+1}\psi d\Gamma`"
    "", ""
    "Nonlinear Fourier", "RIGI_THER_FLUTNL :math:`\underset{{\mathrm{\partial }}_{3}\Omega }{\mathrm{\int }}\alpha \text{'}({T}^{n}){T}^{n+1}\psi d\Gamma`"
    "", "CHAR_THER_FLUTNL :math:`\underset{{\mathrm{\partial }}_{3}\Omega }{\mathrm{\int }}(\alpha ({T}^{n})\mathrm{-}\alpha \text{'}({T}^{n}){T}^{n})\psi d\Gamma`"



* Elementary matrices and second members:


.. csv-table::

    "RIGI_THER_TRANS "," :math:`\underset{\Omega }{\int }k({T}^{n})\text{grad}{T}^{n+1}\text{.}\text{grad}\psi d\Omega`"
    "RIGI_THER_CONV_T "," :math:`\underset{\Omega }{\mathrm{\int }}\omega V\text{.}\text{grad}{T}^{n+1}\psi d\Omega`"
    "CHAR_THER_TNL "," :math:`\begin{array}{}\underset{\Omega }{\int }\left[k({T}^{n})-k({T}^{n-1})\right]\text{grad}{T}^{n}\text{.}\text{grad}\psi d\Omega \\ +\underset{\Omega }{\int }\omega \text{V}\text{.}\text{grad}\tau ({u}^{n})\psi d\Omega -\underset{\Omega }{\int }V\text{.}\text{grad}{u}^{n}\psi d\Omega \end{array}`"