@Article{CiCP-16-239,
author = {Marcello Righi},
title = {A Modified Gas-Kinetic Scheme for Turbulent Flow},
journal = {Communications in Computational Physics},
year = {2014},
volume = {16},
number = {1},
pages = {239--263},
abstract = {<p style="text-align: justify;">The implementation of a turbulent gas-kinetic scheme into a finite-volume
RANS solver is put forward, with two turbulent quantities, kinetic energy and dissipation, supplied by an allied turbulence model. This paper shows a number of numerical simulations of flow cases including an interaction between a shock wave and
a turbulent boundary layer, where the shock-turbulent boundary layer is captured in a
much more convincing way than it normally is by conventional schemes based on the
Navier-Stokes equations. In the gas-kinetic scheme, the modeling of turbulence is part
of the numerical scheme, which adjusts as a function of the ratio of resolved to unresolved scales of motion. In so doing, the turbulent stress tensor is not constrained into
a linear relation with the strain rate. Instead, it is modeled on the basis of the analogy
between particles and eddies, without any assumptions on the type of turbulence or
flow class. Conventional schemes lack multiscale mechanisms: the ratio of unresolved
to resolved scales – very much like a degree of rarefaction – is not taken into account
even if it may grow to non-negligible values in flow regions such as shocklayers. It is
precisely in these flow regions, that the turbulent gas-kinetic scheme seems to provide
more accurate predictions than conventional schemes.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.140813.021213a},
url = {http://global-sci.org/intro/article_detail/cicp/7041.html}
}