D modeling
==============


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

**Linear D_ PLAN_HHO modeling:**


.. image:: images/100018E000002F3B000007C0CD6513C8CC904221.svg
    :width: 609
    :height: 100



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

20 QUAD8


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

The observed nodes have coordinates: :math:`x=y=0.005`


.. csv-table::

    "**Identification**
    **temperature**", "**Reference**"
    "t = 0.5 s N6 (x = 0.005)", "682.43"
    "t = 1.0 s N6 (x = 0.005)", "661.33"
    "t = 3.0 s N6 (x = 0.005)", "628.20"
    "t = 6.0 s N6 (x = 0.005)", "614.25"
    "", ""
    "t = 0.5 s N11 (x = 0.010)", "726.05"
    "t = 1.0 s N11 (x = 0.010)", "705.75"
    "t = 3.0 s N11 (x = 0.010)", "669.63"
    "t = 6.0 s N11 (x = 0.010)", "647.49"
    "", ""
    "t = 0.5 s N16 (x = 0.015)", "738.11"
    "t = 1.0 s N16 (x = 0.015)", "728.70"
    "t = 3.0 s N16 (x = 0.015)", "696.06"
    "t = 6.0 s N16 (x = 0.015)", "673.22"
    "", ""
    "t = 0.5 s N21 (x = 0.020)", "739.86"
    "t = 1.0 s N21 (x = 0.020)", "737.22"
    "t = 3.0 s N21 (x = 0.020)", "714.94"
    "t = 6.0 s N21 (x = 0.020)", "692.06"


Finite element calculation requires discretization in time of :math:`\Delta t=5.{10}^{-4}s`
at least for the first steps. The originally imposed limit condition causing an abrupt transition
the temperature from :math:`740.°C` to :math:`580.°C`.