1. Reference problem#

1.1. Geometry#

We consider a wall of thickness \(L=2m\).

_images/1000000000000426000002FAE3C74AA6C927178A.jpg

1.2. Material properties#

The thermal properties are:

  • \(\rho \mathrm{Cp}=1J/{m}^{3}°C\)

  • \(\lambda (W/m°C)\) varies as follows:

    images/100002010000055a0000031624CECA3F57638E8A.png

1.3. Boundary conditions and loads#

On edge \(\mathrm{SI}\), a cooling flow of \(-1W/{m}^{2}\) is imposed.

On edge \(\mathrm{SE}\), a temperature of \(100°C\) is imposed.

1.4. Initial conditions#

At the initial moment, the temperature is uniform and equal to \(100°C\).

1.5. Temporal discretization#

The calculation takes place on \(\mathrm{200s}\) with a time step of: \(\mathrm{0,1}s\) between 0 and \(\mathrm{40s}\) then \(\mathrm{0,05}s\) between \(\mathrm{40s}\) and \(\mathrm{80s}\) and finally \(\mathrm{0,1}s\) until \(\mathrm{200s}\).