Large-scale space definition for the DG-VMS method based on energy transfer analyses

Fabio Naddei (1) , Marta de La Llave Plata (2) , Eric Lamballais (3) , Vincent Couaillier (1) , Marc Massot (4) , Matthias Ihme (5)

1 DAAA, ONERA, Université Paris-Saclay (COmUE) [Châtillon]
2 DMPE, ONERA, Université de Toulouse [Toulouse]
3 PPrime [Poitiers] - Institut Pprime [UPR 3346]
4 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
5 CTR - Center for Turbulence Research [Stanford]

A-priori analyses to study the effect of the large-scale space definition in the variational multiscale simulation (VMS) approach to LES are carried out in the context of a modal discontinuous Galerkin (DG) method. A numerically consistent framework is introduced to derive the expression of the ideal subgrid-scale (SGS) energy transfer, which takes into account the different terms involved in the DG discretization. Based on the insight gained from this study, a locally adaptive modeling strategy able to adjust the definition of the large-scale space to the local resolution requirements of the flow is proposed.

Mots clés: METHODE MULTIECHELLE; METHODE LES; SCHEMA NUMERIQUE ORDRE ELEVE; TURBULENCE HOMOGENE

Domaines: Sciences de l'ingénieur [physics]; Physique [physics]

Fabio Naddei, Marta de La Llave Plata, Eric Lamballais, Vincent Couaillier, Marc Massot, et al.. Large-scale space definition for the DG-VMS method based on energy transfer analyses. CTR Summer Program 2018, Jun 2018, STANFORD, United States. ⟨hal-02491821⟩