@Article{AAMM-2-4,
author = {Lin, Chuanta and Zuojin, Zhu},
title = {Direct Numerical Simulation of Incompressible Flows in a Zero-Pressure Gradient Turbulent Boundary Layer},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2010},
volume = {2},
number = {4},
pages = {503--517},
abstract = {<p style="text-align: justify;">Direct numerical simulation (DNS) of incompressible flows in a
zero-pressure gradient turbulent boundary layer (TBL) is conducted
by a finite difference method in which a fourth order upwind scheme
is applied to discretize the convective terms while a re-scaling
approach is used to set inlet flow conditions. The Reynolds numbers
based on free flow velocity and momentum thickness at the recycle
section are respectively 687, 1074, and 1430. The DNS has obtained
favorable results indicating that the turbulence statistics are quite
satisfactory as compared with the existing numerical and
experimental results. The three dimensional turbulent structures at
the momentum thickness Reynolds number of 1430 in several different
instants are illustrated by the iso-surface of swirl strength square
(the square of imaginary part of the complex eigenvalue of velocity
gradient tensor) together with velocity vectors in three different
cross sections. It is found that there are three kinds of vortical
structures: quasi-symmetrical and asymmetrical hairpin vortices, and
worm-like vortices. The DNS based on the numerical method can
certainly reveal the main characteristics of the TBL flows at the
given Reynolds numbers.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.09-m09100},
url = {https://global-sci.com/article/73650/direct-numerical-simulation-of-incompressible-flows-in-a-zero-pressure-gradient-turbulent-boundary-layer}
}