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


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

Modeling HHS in plane deformations. Coupling LIQU_VAPE_GAZ. 100 elements QUAD8.

In a second calculation, we test the automatic management of the time step.

Discretization in time:


* :math:`\mathrm{1000s}` in 20 steps of time


* :math:`5000s` in 20 steps of time


* :math:`10000s` in 10 steps of time


* :math:`50000s` in 20 steps of time


* :math:`100000s` in 20 steps of time

With the automatic management of the time step, we only give the 1st time step and the mandatory moments of passage (for TEST_RESU):


* :math:`50s`


* :math:`5000s`


* :math:`100000s`

The code manages the time steps by itself.


Results
---------

The results are practically the same as for modeling :math:`A`, which is logical considering that there is no thermal step.

Automatic time step management makes it possible to take 5 times fewer time steps.


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

2 non-regression tests are carried out for each calculation:

Calculus no. 1


.. csv-table::

    ":math:`X` **(** :math:`m` **)**) **", "**Time (**:math:`s`**) **", ":math:`\mathit{PRE1}`**Aster**", "**Relative error allowed**"
    ":math:`0.03` "," :math:`5000` "," :math:`7.5{10}^{5}` "," :math:`1\text{\%}`"
    ":math:`0.03` "," :math:`100000` "," :math:`4.48{10}^{6}` "," :math:`1\text{\%}`"


calculation no. 2 (automatic management of the list of moments)


.. csv-table::

    ":math:`X` **(** :math:`m` **)**) **", "**Time (**:math:`s`**) **", ":math:`\mathit{PRE1}`**Aster**", "**Relative error allowed**"
    ":math:`0.03` "," :math:`5000` "," :math:`7.5{10}^{5}` "," :math:`1\text{\%}`"
    ":math:`0.03` "," :math:`100000` "," :math:`4.48{10}^{6}` "," :math:`4\text{\%}`"