On the use of a high-order discontinuous Galerkin method for DNS and LES of wall-bounded turbulence

Marta de La Llave Plata (1) , Vincent Couaillier (1) , Marie-Claire Le Pape (1)

1 ONERA - The French Aerospace Lab [Châtillon]

We assess the performance of a high-order discontinuous Galerkin (DG) approach to simulate wall-bounded turbulent flows for a range of Reynolds numbers. First, a plane channel flow configuration with turbulent heat transfer at friction Reynolds number equal to 640 is considered. Second, a detached flow configuration is investigated. This configuration represents the flow over periodically arranged hills. Four bulk Reynolds numbers are considered: 2800, 10595, 19000, and 37000. For Reynolds number equal to 2800 direct numerical simulation (DNS) is used. Large-eddy simulations (LES) based on the WALE subgrid-scale model are carried out for the higher Reynolds numbers. The simulation results are compared to reference data from CFD and experiment. hp-convergence analyses are performed which demonstrate the superior performance of increasing the polynomial order as compared to refining the mesh. It appears from this work that the use of a subgrid modelling approach together with local hp-adaptation could greatly improve the accuracy of the solution without penalising the computational cost of the simulation.

Mots clés: large-eddy simulation; direct numerical simulation; wall-bounded turbulence; Discontinuous Galerkin method

Domaines: Milieux fluides et réactifs

Marta de La Llave Plata, Vincent Couaillier, Marie-Claire Le Pape. On the use of a high-order discontinuous Galerkin method for DNS and LES of wall-bounded turbulence. 2016. ⟨hal-01402105⟩