An ODE-based wall model for turbulent flow simulations

Marsha J. Berger, Michael J. Aftosmis

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This paper presents a new wall model to compute turbulent boundary layers using the RANS equations in high Reynolds number flows. The model solves a two-point boundary value problem for a coupled set of equations for the streamwise velocity and the turbulent viscosity. Since it includes both the pressure gradient and the momentum balance of the full Navier-Stokes system, the ODE is valid farther from the wall. We implement the model within a Cartesian cut cell method, and use one-dimensional linelets in each cut cell to avoid the excessive mesh refinement that would otherwise be needed. The linelets are coupled to the outer Cartesian grid in a fully conservative manner, with two-way interaction between the linelets and the background grid. Detailed comparisons of velocity and eddy viscosity with three well-studied examples from the Turbulence Modeling Resource website are presented to demonstrate the model’s performance in two space dimensions, including an example with smooth-body separation. The results show the new model gives excellent results even when the y+ value of the first point is in the wake layer.

Original languageEnglish (US)
Title of host publicationAIAA SciTech Forum - 55th AIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Electronic)9781624104473
StatePublished - 2017
Event55th AIAA Aerospace Sciences Meeting - Grapevine, United States
Duration: Jan 9 2017Jan 13 2017

Publication series

NameAIAA SciTech Forum - 55th AIAA Aerospace Sciences Meeting


Other55th AIAA Aerospace Sciences Meeting
Country/TerritoryUnited States


  • Cartesian embedded-boundary mesh
  • Cut cells
  • Linelets
  • RANS equations
  • Wall model

ASJC Scopus subject areas

  • Aerospace Engineering


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