TY - JOUR
T1 - A Mesh Size Scaling Law with Reynolds Number for Large Eddy Simulation in Channel Flow
AU - Yao , Jie
AU - Teo , C. J.
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 1535
EP - 1566
PY - 2022
DA - 2022/08
SN - 14
DO - http://doi.org/10.4208/aamm.OA-2021-0296
UR - https://global-sci.org/intro/article_detail/aamm/20858.html
KW - Large eddy simulation (LES), channel flow, turbulent flow, mesh size scaling law.
AB - <p style="text-align: justify;">In this paper, a scaling law relating the mesh size to the Reynolds number was proposed to ensure consistent results for large eddy simulation (LES) as the
Reynolds number was varied. The grid size scaling law was developed by analyzing the length scale of the turbulent motion by using DNS data from the literature. The
wall-resolving LES was then applied to a plane channel flow to validate the scaling law.
The scaling law was tested at different Reynolds numbers $(Re_τ$ = 395, 590 and 1000),
and showed good results compared to direct numerical simulation (DNS) in terms of
mean flow and various turbulent statistics. The velocity spectra analysis shows the
evidence of the Kolmogorov –5/3 inertial subrange and verifies that the current LES
can resolve the bulk of the turbulent kinetic energy by satisfying the grid scaling law.
Meanwhile, the near-wall turbulent flow structures can also be well captured. Reasonably accurate predictions can thus be obtained for flows at even higher Reynolds
numbers with significantly lower computational costs compared to DNS by applying
the mesh scaling law.</p>