Title: Wall modeling via function enrichment: extension to detached-eddy simulation,
Abstract: We extend the approach of wall modeling via function enrichment to
detached-eddy simulation. The wall model aims at using coarse cells in the
near-wall region by modeling the velocity profile in the viscous sublayer and
log-layer. However, unlike other wall models, the full Navier-Stokes equations
are still discretely fulfilled, including the pressure gradient and convective
term. This is achieved by enriching the elements of the high-order
discontinuous Galerkin method with the law-of-the-wall. As a result, the
Galerkin method can "choose" the optimal solution among the polynomial and
enrichment shape functions. The detached-eddy simulation methodology provides a
suitable turbulence model for the coarse near-wall cells. The approach is
applied to wall-modeled LES of turbulent channel flow in a wide range of
Reynolds numbers. Flow over periodic hills shows the superiority compared to an
equilibrium wall model under separated flow conditions.