Modeling A
==============


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


* Modeling in plane deformations D_ PLAN_HM.


* Hydraulic behavior LIQU_SATU.


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

1 items :math:`\mathit{Q8}`.


Quantities and tested results
-----------------------------

Discretization in time: 7 steps of increasing time. The list of moments in seconds is: :math:`(\mathrm{1,5}\mathrm{,10}\mathrm{,50}\mathrm{,100}\mathrm{,500}\mathrm{,1000})`.

If we look at the geometry of the problem, node A (number N1) corresponds to pressure :math:`{p}^{1}` and node C to pressure :math:`{p}^{2}`

**Table of results at different times:**


.. csv-table::

    ":math:`N°` **KNOT**", "**Order Number**", ":math:`\mathrm{PRE1}(\mathrm{Pa})` ", "**Tolerance** :math:`(\text{\%})`"
    ":math:`\mathrm{N1},A` ", "1"," :math:`-6.631\times {10}^{3}` "," :math:`5`"
    "", "2"," :math:`-3.315\times {10}^{4}` "," :math:`5`"
    "", "3"," :math:`-\mathrm{6,631}\times {10}^{4}` "," :math:`5`"
    "", "4"," :math:`-3.314\times {10}^{5}` "," :math:`5`"
    "", "7"," :math:`-\mathrm{6,553}\times {10}^{5}` "," :math:`5`"
    ":math:`\mathrm{N3},C` ", "1"," :math:`1.326\times {10}^{4}` "," :math:`5`"
    "", "2"," :math:`6.631\times {10}^{4}` "," :math:`5`"
    "", "3"," :math:`1.326\times {10}^{5}` "," :math:`5`"
    "", "4"," :math:`6.629\times {10}^{5}` "," :math:`5`"
    "", "7"," :math:`1.318\times {10}^{7}` "," :math:`5`"


**Table** 1 **: Results**

The results are in perfect agreement with the analytical solution.