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


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


.. image:: images/100011F200002A6000001565D60579CF322E003C.svg
    :width: 526
    :height: 265


.. _RefImage_100011F200002A6000001565D60579CF322E003C.svg:

Two modeling variants are carried out:


* a :math:`(p,\mathrm{\Phi },z)` modeling of the free surface with 57 elements MEFP_FACE4 (2D modeling _ FLUI_PESAsur the group of elements MASURF) quadrangles with 4 knots while the fluid volume is modeled by 513 fluid elements :math:`(p,\mathrm{\Phi })` (3D modeling _ FLUIDEsur the group of elements MAFLUIDE) cubic to 8 knots. This modeling gives access to sloshing modes and acoustic modes;


* a fluid volume modeling that is modeled by 513 fluid elements :math:`(p,\mathrm{\Phi })` (3D modeling_ FLUIDEsur the group of elements MAFLUIDE) cubic at 8 knots, while the free surface (group of nodes: NOSURF) is affected by a Dirichlet condition: PRES =0.0, PHI =0.0. This Dirichlet condition is performed successively in two ways: by dualization (AFFE_CHAR_MECA (DDL_IMPO)), then by elimination (AFFE_CHAR_CINE (MECA_IMPO)). This modeling gives access to only acoustic modes.

In both cases, no boundary conditions are affected on the side walls and the bottom: this is a natural boundary condition: :math:`\vec{\nabla p}\mathrm{.}\vec{n}=0`.


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

The mesh contains: 513 HEXA8; 57 QUAD4.


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


.. csv-table::

    "**Identification**", "**Reference** (:math:`\mathit{Hz}`)"
    "Slope mode 1, 0", "0.898250"
    "Casual mode 2, 0", "1.38452"
    "Joggle mode3, 0", "1.70952"
    "Joggle Mode4, 0", "1.97551"
    "Slope mode 5, 0", "2.20885"
    "Acoustic mode 0, 0, 0", "1166.67"
    "Acoustic mode 1, 0, 0", "1458.33"