Wall modeling via function enrichment: Extension to detached-eddy simulation. (30th January 2019)

• Record Type: Journal Article
• Authors: Krank, Benjamin; Kronbichler, Martin; Wall, Wolfgang A.
• Is Part Of: Computers & fluids. Volume 179(2019)
• Page Start: 718
• Page End: 725
• Publication Date: 2019-01-30
• Subjects: Delayed detached-eddy simulation -- Spalart–Allmaras model -- Function enrichment -- High-order discontinuous Galerkin; Fluid dynamics -- Data processing -- Periodicals; 532.050285
• DOI: 10.1016/j.compfluid.2018.07.019
• Languages: English
• ISSNs: 0045-7930

Abstract

Highlights: Detached-eddy turbulence modeling applied to wall modeling via function enrichment. The discrete velocity solution is enriched using a wall function. The first off-wall grid cell may span several hundred wall units. Very accurate in separated flows – considers pressure gradients and convection. 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. In our approach however, unlike other wall models, the full Navier–Stokes equations are still discretely satisfied, 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.