B modeling
==============


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

The mesh is done using TRIA6 of the D_ PLAN_HM_P modeling.


.. image:: images/Object_36.png
    :width: 5.4236in
    :height: 2.6957in


.. _RefImage_Object_36.png:


.. code-block:: text

    The coordinates of the points are given in the following table:


.. csv-table::

    "**Point**", ":math:`A` "," :math:`B` "," "," :math:`C` "," :math:`D` "," :math:`P`"
    "**Abscissa** (:math:`m`)", "0.7071", "0.7071", "4.2426", "3.5355", "0", "1.9743"
    "**Ordered** (:math:`m`)", "0", "3,5355", "3,5355", "4,2426", "0,7071", "1,9743"



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

Number of knots: 153

Number of meshes and types: 62 meshes TRIA6


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


* Before remeshing


.. csv-table::

    "**Point**", "**Component**", "**Reference**", "**Code_Aster**", ":math:`\text{\%}` **difference**"
    ":math:`P` ", "DX", "2.584E-04", "2.5849E-04", "0.035"
    ":math:`P` ", "DY", "2,584E-04. ", "2.5849E-04", "0.035"
    ":math:`P` "," PRE1 ", "127079. ", "127090. ", "0.008"


We also test the computer non-regression of the global components ESTERG1 and ESTERG2 of the error indicator. Absolute tolerance is therefore severe: :math:`{10}^{-13}`.


.. csv-table::

    "**Point**", "**Component**", "**Code_Aster**", "**Tolerance**"
    ":math:`P` ", "Value of ESTERG1 ", "4.41E-13"," :math:`{10}^{-13}`"
    ":math:`P` ", "Value of ESTERG2 ", "4.89E-13"," :math:`{10}^{-13}`"



* After remeshing


.. csv-table::

    "**Point**", "**Component**", "**Reference**", "**Code_Aster**", ":math:`\text{\%}` **difference**"
    ":math:`P` ", "DX", "2.584E-04", "2.5849E-04", "0.035"
    ":math:`P` ", "DY", "2,584E-04. ", "2.5849E-04", "0.035"
    ":math:`P` "," PRE1 ", "127079. ", "127090. ", "0.008"


We also test the computer non-regression of the global components ESTERG1 and ESTERG2 of the error indicator. Absolute tolerance is therefore severe: :math:`{10}^{-13}`.


.. csv-table::

    "**Point**", "**Component**", "**Code_Aster**", "**Tolerance**"
    ":math:`P` ", "Value of ESTERG1 ", "2,73E-14"," :math:`{10}^{-13}`"
    ":math:`P` ", "Value of ESTERG2 ", "7.54E-17"," :math:`{10}^{-13}`"