.. _V4.22.101:

**v4.22.101** TTNL101 - Non-linear heat source in a bar
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**Summary:**

This test verifies the thermal calculation in the presence of a non-linear source load, depending on the temperature.

The reference solution is analytical and variable in time and space. The part considered in the three models is a symmetric bar composed of lumped elements.

The following meshes are checked:


* Modeling A:


    * quadrangles QUAD4, QUAD8, QUAD9 for a model AXIS


    * QUAD4 quadrangles for AXIS_DIAG modeling


* B modeling:


    * HEXA8 hexahedra for 3D modeling_ DIAG


* C modeling:


    * TRIA3 triangles for AXIS modeling


    * TRIA3 triangles for AXIS_DIAG modeling

* D modeling:


    * TRIA3 triangles for AXIS_HHO linear modeling

* E modeling:


    * HEXA8 hexahedra for 3D modeling_ HHO quadratic


The two ends of the bar are subject to adiabadicity conditions by default. The volume source of heat is a linear function of temperature.


.. toctree::
    :hidden:

    self

.. toctree::
    :maxdepth: 2
    :numbered:

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    Mod_lisation_B
    Mod_lisation_C
    Modelisation_D
    Modelisation_E
    Synth_se_des_r_sultats