NDLI: A Parallel Subgrid Stabilized Finite Element Method Based on Two-Grid Discretization for Simulation of 2D/3D Steady Incompressible Flows

Content Provider	Springer Nature Link
Author	Shang, Yueqiang Huang, Shumei
Copyright Year	2013
Abstract	Based on domain decomposition and two-grid discretization, a parallel subgrid stabilized finite element method for simulation of 2D/3D steady convection dominated incompressible flows is proposed and analyzed. In this method, a subgrid stabilized nonlinear Navier–Stokes problem is first solved on a coarse grid where the stabilization term is based on an elliptic projection defined on the same coarse grid, and then corrections are calculated in overlapped fine grid subdomains by solving a linearized problem. By the technical tool of local a priori estimate for finite element solution, error bounds of the approximate solution are estimated. Algorithmic parameter scalings of the method are derived. Numerical results are also given to demonstrate the effectiveness of the method.
Starting Page	564
Ending Page	583
Page Count	20
File Format	PDF
ISSN	08857474
Journal	Journal of Scientific Computing
Volume Number	60
Issue Number	3
e-ISSN	15737691
Language	English
Publisher	Springer US
Publisher Date	2013-11-26
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Incompressible flows Navier–Stokes equations Finite element Subgrid-scale model Parallel algorithm Two-grid method Algorithms Computational Mathematics and Numerical Analysis ApplicationMathematics/Computational Methods of Engineering Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Engineering Computational Theory and Mathematics Computational Mathematics Numerical Analysis Software

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