A variational multi-scale anisotropic mesh adaptation scheme for aerothermal problems

A Bazile , E Hachem , Youssef Mesri (1, 2)

1 Mines Paris - PSL (École nationale supérieure des mines de Paris)
2 CEMEF - Centre de Mise en Forme des Matériaux

We propose a new mesh adaptation technique to solve the thermal problem of the impingement jet cooling. It relies on a subscales error estimator computed with bubble functions to locate and evaluate the PDE-dependent approximation error. Then, a new metric tensor based on the subscales error estimator is suggested for anisotropic mesh adaptation. We combine the coarse scales anisotropic interpolation error indicator [5-7] with the subscales error estimator allowing us to take into account the anisotropic variations of the solution but also the sub-grid information. The results show that the resulting meshes of this parallel adaptive framework [1-4] allow to capture the turbulently generated flow specificities of the impingement jet cooling and in particular, the secondary vortexes [8].

Domaines: Equations aux dérivées partielles [math.AP]; Calcul parallèle, distribué et partagé [cs.DC]; Modélisation et simulation; Milieux fluides et réactifs

A Bazile, E Hachem, Youssef Mesri. A variational multi-scale anisotropic mesh adaptation scheme for aerothermal problems. International Conference in Finite Element in Flow problems, Apr 2017, Rome, Italy. ⟨hal-02140904⟩