Improved roughness model for turbulent flow in 2D viscous‐inviscid panel methods

Anders Smærup Olsen*, Néstor Ramos‐García, Christian Bak

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review


The present study presents a modified expression for the turbulent skin friction coefficient (Cf) in 2D viscous‐inviscid panel methods. The modified Cf expression includes surface roughness effects and is therefore believed to be an improvement to the modelling of leading edge roughness (LER) effects on airfoils. The basis for the study is the two‐equation viscous formulation used in 2D viscous‐inviscid panel methods, where the standard integral momentum and kinetic energy shape parameter equations are solved together with a number of turbulent closures. One of the closures relates the skin friction coefficient with the shape parameter and the momentum thickness Reynolds number. The relation is derived from Coles' law of the wake, which reasonably accurately describes any 2D turbulent boundary layer velocity profile. This is used to derive a new Cf‐expression with the Prandtl‐Schlichting sand grain roughness effect included, which is implemented in the Q3UIC code. Simulations on a NACA63‐418 profile with sand grain roughness on the forward part are compared with measurements and show an improved agreement with the measurements.
Original languageEnglish
JournalWind Energy
Issue number3
Pages (from-to)608-616
Number of pages9
Publication statusPublished - 2020


  • LE roughness
  • Q3UIC
  • soiled airfoil
  • 2D viscous-inviscid panel method


Dive into the research topics of 'Improved roughness model for turbulent flow in 2D viscous‐inviscid panel methods'. Together they form a unique fingerprint.

Cite this