TY - JOUR
T1 - Three Iterative Finite Element Methods for the Stationary Smagorinsky Model
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 132
EP - 151
PY - 2018
DA - 2018/02
SN - 4
DO - http://doi.org/10.4208/eajam.230913.120314a
UR - https://global-sci.org/intro/article_detail/eajam/10828.html
KW - Smagorinsky  model, stabilised finite element method, local Gauss integration, iterative scheme, lid driven cavity flow.
AB - <p style="text-align: justify;">Three iterative stabilised finite element methods based on local Gauss integration
are proposed in order to solve the steady two-dimensional Smagorinsky model
numerically. The Stokes iterative scheme, the Newton iterative scheme and the Oseen
iterative scheme are adopted successively to deal with the nonlinear terms involved.
Numerical experiments are carried out to demonstrate their effectiveness. Furthermore,
the effect of the parameters $Re$ (the Reynolds number) and $δ$ (the spatial filter radius)
on the performance of the iterative numerical results is discussed.</p>