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Two-level Subgrid Stabilized Methods for Navier-Stokes Equations at High Reynolds Numbers
YANG Xiaocheng, SHANG Yueqiang
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
2017, 34 (6):
657-665.
DOI: 10.19596/j.cnki.1001-246x.7569
Based on two-grid discretizations,three two-level subgrid stabilized finite element algorithms for stationary Navier-Stokes equations at high Reynolds numbers are proposed and compared. Basic idea of the algorithms is to solve a fully nonlinear Navier-Stokes problem with a subgrid stabilization term on a coarse grid,and then solve a subgrid stabilized linear fine grid problem based on one step of Newton,Oseen or Stokes iterations for Navier-Stokes equations.It shows that with suitable stabilization parameters and coarse and fine grid sizes,those algorithms yield an optimal convergence rate. Finally, numerial results are given to show efficiency of the algorithms.
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