TY - JOUR
T1 - A New Stabilized Finite Element Method for Solving Transient Navier-Stokes Equations with High Reynolds Number
AU - Xie , Chunmei
AU - Feng , Minfu
JO - Journal of Computational Mathematics
VL - 3
SP - 395
EP - 416
PY - 2020
DA - 2020/03
SN - 38
DO - http://doi.org/10.4208/jcm.1810-m2018-0096
UR - https://global-sci.org/intro/article_detail/jcm/15792.html
KW - Transient Navier-Stokes problems, High Reynolds number, The projection of the velocity and pressure, Taylor-Hood elements, The equal order elements.
AB - <p style="text-align: justify;">In this paper, we present a new stabilized finite element method for transient Navier-Stokes equations with high Reynolds number based on the projection of the velocity and
pressure. We use Taylor-Hood elements and the equal order elements in space and second
order difference in time to get the fully discrete scheme. The scheme is proven to possess the
absolute stability and the optimal error estimates. Numerical experiments show that our
method is effective for transient Navier-Stokes equations with high Reynolds number and
the results are in good agreement with the value of subgrid-scale eddy viscosity methods,
Petro-Galerkin finite element method and streamline diffusion method.</p>