TY - JOUR
T1 - A New Stabilized Subgrid Eddy Viscosity Method Based on Pressure Projection and Extrapolated Trapezoidal Rule for the Transient Navier-Stokes Equations
AU - Minfu Feng, Yanhong Bai, Yinnian He & Yanmei Qin
JO - Journal of Computational Mathematics
VL - 4
SP - 415
EP - 440
PY - 2011
DA - 2011/08
SN - 29
DO - http://doi.org/10.4208/jcm.1101-m2996
UR - https://global-sci.org/intro/article_detail/jcm/8485.html
KW - Subgrid eddy viscosity model, Pressure projection method, Extrapolated trapezoidal rule, The transient Navier-Stokes equations.
AB - <p style="text-align: justify;">We consider a new subgrid eddy viscosity method based on pressure projection and extrapolated trapezoidal rule for the transient Navier-Stokes equations by using lowest equal-order pair of finite elements. The scheme stabilizes convection dominated problems and ameliorates the restrictive inf-sup compatibility stability. It has some attractive features including parameter free for the pressure stabilized term and calculations required for higher order derivatives. Moreover, it requires only the solutions of the linear system arising from an Oseen problem per time step and has second order temporal accuracy. The method achieves optimal accuracy with respect to solution regularity.</p>