Journal
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 37, Issue 3, Pages 2067-2088Publisher
WILEY
DOI: 10.1002/num.22657
Keywords
backtracking technique; finite element; high Reynolds number; Navier– Stokes equations; subgrid stabilization; two‐ level method
Categories
Funding
- Fundamental Research Funds for the Central Universities [XDJK2018B032]
- Graduate Research Innovation Project of Chongqing Municipality, China [CYS19085]
- Basic and Frontier Explore Program of Chongqing Municipality, China [cstc2018jcyjAX0305]
- Natural Science Foundation of China [11361016]
Ask authors/readers for more resources
A simplified two-level subgrid stabilized method with backtracking technique is proposed for the steady incompressible Navier-Stokes equations at high Reynolds numbers, which combines the best algorithmic characteristics of the standard two-level method with backtracking technique and subgrid stabilized method to achieve an optimal convergence rate.
Based on finite element discretization, a simplified two-level subgrid stabilized method with backtracking technique is proposed for the steady incompressible Navier-Stokes equations at high Reynolds numbers. The method combines the best algorithmic characteristics of the standard two-level method with backtracking technique and subgrid stabilized method. In this method, we first solve a fully nonlinear Navier-Stokes equations with a subgrid stabilized term on a coarse grid, then solve a simplified subgrid stabilized linear problem on a fine grid, and finally solve a linear correction problem on a coarse grid, where the stabilized term is based on an elliptic projection. The theoretical results show that, with suitable scalings of algorithmic parameters, the method can yield an optimal convergence rate of second-order. Two numerical results are given to demonstrate the effectiveness of the method.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available