Benchmark solution
=====================


Calculation method
-----------------

The analytical solution under pressure is a polynomial of degree in :math:`x` and :math:`y`, the speed is constant and horizontal:

:math:`\begin{array}{}P(x,y)=-45x-80y+22.3\\ V(x,y)=(45{K}_{x};80{K}_{y})=(45;60)\end{array}`


Reference quantities and results
------------------------

We give the value of the pressure and the speed in 3 points:


.. csv-table::

    ":math:`x` ", "-0.05", "0.00", "+0.05"
    ":math:`y` ", "-0.05", "0.00", "0.05"
    ":math:`P` ", "28.8", "22.5", "16.3"
    ":math:`\mathit{Vx}` ", "45", "45", "45"
    ":math:`\mathit{Vy}` ", "60", "60", "60"



Bibliographical references
---------------------------


1. Alliances Project qualification plan, note ANDRA CNT - ASCS 02-075B