2. Benchmark solution

2.1. Calculation method

The reference solution is obtained by refining the modeling A mesh (classical elements with mesh crack): regular mesh composed of \(500\mathrm{\times }500\) QUAD4 (instead of \(100\mathrm{\times }100\) QUAD4 for mesh A)

2.2. Reference quantities and results

The temperature is tested at the end of the last time step (\(t=1\text{.}s\)) at points \({P}^{\text{+}}\), \({P}^{\text{-}}\) and \(Q\) (see Figure).

Identification	Reference type	Reference value
Point \({P}^{\text{+}}\) - \(\mathit{TEMP}\)	“AUTRE_ASTER”	29.156091860463°C
Point \({P}^{\text{-}}\) - \(\mathit{TEMP}\)	“AUTRE_ASTER”	23.393394671258 °C
Point \(Q\) - \(\mathit{TEMP}\)	“AUTRE_ASTER”	26.25259365185°C