Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published March 10, 2021 | Published
Journal Article Open

Effect of Wall Boundary Conditions on a Wall-Modeled Large-Eddy Simulation in a Finite-Difference Framework


We studied the effect of wall boundary conditions on the statistics in a wall-modeled large-eddy simulation (WMLES) of turbulent channel flows. Three different forms of the boundary condition based on the mean stress-balance equations were used to supply the correct mean wall shear stress for a wide range of Reynolds numbers and grid resolutions applicable to WMLES. In addition to the widely used Neumann boundary condition at the wall, we considered a case with a no-slip condition at the wall in which the wall stress was imposed by adjusting the value of the eddy viscosity at the wall. The results showed that the type of boundary condition utilized had an impact on the statistics (e.g., mean velocity profile and turbulence intensities) in the vicinity of the wall, especially at the first off-wall grid point. Augmenting the eddy viscosity at the wall resulted in improved predictions of statistics in the near-wall region, which should allow the use of information from the first off-wall grid point for wall models without additional spatial or temporal filtering. This boundary condition is easy to implement and provides a simple solution to the well-known log-layer mismatch in WMLES.

Additional Information

© 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Received: 11 February 2021; Revised: 2 March 2021; Accepted: 5 March 2021; Published: 10 March 2021. The authors would like to thank Oriol Lehmkuhl for fruitful discussions. This research received no external funding. Author Contributions: Conceptualization, H.J.B. and A.L.-D.; methodology, H.J.B.; software, H.J.B. and A.L.-D.; validation, H.J.B. and A.L.-D.; formal analysis, H.J.B.; investigation, H.J.B.; resources, H.J.B.; data curation, H.J.B.; writing—original draft preparation, H.J.B.; writing—review and editing, A.L.-D.; visualization, H.J.B.; supervision, H.J.B.; project administration, H.J.B.; funding acquisition, H.J.B. All authors have read and agreed to the published version of the manuscript. Institutional Review Board Statement: Not applicable. Informed Consent Statement: Not applicable. Data Availability Statement: Data available on request from the authors. The authors declare no conflict of interest.

Attached Files

Published - fluids-06-00112.pdf


Files (567.9 kB)
Name Size Download all
567.9 kB Preview Download

Additional details

August 22, 2023
October 23, 2023