Wall modeling via function enrichment within a high-order DG method for RANS simulations of incompressible flow

Benjamin Krank, Martin Kronbichler, Wolfgang A. Wall

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We present a novel approach to wall modeling for the Reynolds-averaged Navier-Stokes equations within the discontinuous Galerkin method. Wall functions are not used to prescribe boundary conditions as usual, but they are built into the function space of the numerical method as a local enrichment, in addition to the standard polynomial component. The Galerkin method then automatically finds the optimal solution among all shape functions available. This idea is fully consistent and gives the wall model vast flexibility in separated boundary layers or high adverse pressure gradients. The wall model is implemented in a high-order discontinuous Galerkin solver for incompressible flow complemented by the Spalart-Allmaras closure model. As benchmark examples, we present turbulent channel flow starting from Reτ=180 and up to Reτ=100000 as well as flow past periodic hills at Reynolds numbers based on the hill height of ReH=10595 and ReH=19000.

Original languageEnglish
Pages (from-to)107-129
Number of pages23
JournalInternational Journal for Numerical Methods in Fluids
Volume86
Issue number1
DOIs
StatePublished - 10 Jan 2018

Keywords

  • RANS
  • Spalart-Allmaras
  • XFEM
  • high-order discontinuous Galerkin
  • wall functions
  • wall modeling

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