Reference problem
=====================


Geometry
---------


.. image:: images/10000F9000003417000010F37722B775931F4CD7.svg
    :width: 672
    :height: 218


.. _RefImage_10000F9000003417000010F37722B775931F4CD7.svg:

Rectangular tube:


.. csv-table::

    "length:", ":math:`L={l}_{x}=1.0m`"
    "height:", ":math:`h={l}_{y}=0.1m`"
    "width:", ":math:`l={l}_{z}=0.2m`"


Coordinates of the points (in :math:`m`):


.. csv-table::

    "", ":math:`A` "," :math:`B` "," :math:`C` "," :math:`D`"
    ":math:`x` ", "0. ", "0. ", "1.00", "1.00"
    ":math:`y` ", "0. ", "0.05", "0. ", "0.05"
    ":math:`z` ", "0.20", "0.10", "0.10", "0.20", "0.10"



Material properties
------------------------

Air:

:math:`\rho =1.3\mathrm{kg.}{m}^{-3}`

:math:`c=343.{\mathrm{m.s}}^{-1}`


Boundary conditions and loading
------------------------------------


.. csv-table::

    "Normal incoming wave pressure", ":math:`{P}_{i}={P}_{0}\ast {e}^{i\omega t}` With :math:`{P}_{0}=1.0\mathrm{Pa}`"
    "Frequency", ":math:`f=500\mathrm{Hz}`"
    "Impedance at the end :math:`\mathrm{CD}` "," :math:`Z=\rho c=445.9{\mathrm{kg.m}}^{-2}{s}^{-1}`"