A Simplified Parallel Two-Level Iterative Method for Simulation of Incompressible Navier-Stokes Equations
Year: 2015
Author: Yueqiang Shang, Jin Qin
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 6 : pp. 715–735
Abstract
Based on two-grid discretization, a simplified parallel iterative finite element method for the simulation of incompressible Navier-Stokes equations is developed and analyzed. The method is based on a fixed point iteration for the equations on a coarse grid, where a Stokes problem is solved at each iteration. Then, on overlapped local fine grids, corrections are calculated in parallel by solving an Oseen problem in which the fixed convection is given by the coarse grid solution. Error bounds of the approximate solution are derived. Numerical results on examples of known analytical solutions, lid-driven cavity flow and backward-facing step flow are also given to demonstrate the effectiveness of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m464
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 6 : pp. 715–735
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21