TY - JOUR
T1 - A Simplified Parallel Two-Level Iterative Method for Simulation of Incompressible Navier-Stokes Equations
AU - Shang , Yueqiang
AU - Qin , Jin
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 715
EP - 735
PY - 2018
DA - 2018/05
SN - 7
DO - http://doi.org/10.4208/aamm.2014.m464
UR - https://global-sci.org/intro/article_detail/aamm/12072.html
KW - 
AB - <p style="text-align: justify;">Based on two-grid discretization, a simplified parallel iterative finite element
method for the simulation of incompressible Navier-Stokes equations is developed
and analyzed. The method is based on a fixed point iteration for the equations on
a coarse grid, where a Stokes problem is solved at each iteration. Then, on overlapped
local fine grids, corrections are calculated in parallel by solving an Oseen problem in
which the fixed convection is given by the coarse grid solution. Error bounds of the
approximate solution are derived. Numerical results on examples of known analytical
solutions, lid-driven cavity flow and backward-facing step flow are also given to
demonstrate the effectiveness of the method.</p>