1. Reference problem#

1.1. Geometry#

The part considered in both models is a unique element.

Since the temperature is homogeneous in the element, the calculation can be considered as 0D.

\(\lambda \mathrm{=}0\)	thermal conductivity
\(\rho C\mathrm{=}2\)	volume heat

Non-linear volume source loading, temperature dependent:

\(s(T)\mathrm{=}2\mathrm{-}2\mathrm{\times }w\mathrm{\times }T\) with \(w\mathrm{=}2\)

The boundary conditions are adiabatic, which corresponds to the defect in Code_Aster.

The time range \(\mathrm{[}0.;1.\mathrm{]}\) is discretized into 100 time steps (duration of each time step equal to \(0.01\)).

\(\mathit{T0}\mathrm{=}0\) throughout the element.