Towards Wall-Modeled LES using High-Order Discontinuous Galerkin Methods

This talk presents a DG-based wall model technique for large-eddy simulations.~Wall modeling capability plays a key role for enabling high-fidelity simulations of external aerodynamics and wall-bounded flows~at~very high Reynolds-numbers. Previous development of wall models was primarily based on finite-difference or finite-volume schemes. The performance of wall models in the DG framework has~not yet been well understood.~~In this study, we investigate the equilibrium wall model in a configuration of turbulent channel flow. The detailed implementation for integrating the wall model into a DG solver will be presented. The accuracy of the DG-based WMLES technique will be compared against the conventional WMLES that were developed based~on~finite-volume methods. The importance~of utilizing subgrid-scale models~will be highlighted. Practical implication~of this new WMLES technique onto more complex flow configurations will be discussed.