Some iterative finite element methods for steady Navier-Stokes equations with different viscosities
Some iterative finite element methods for steady Navier-Stokes equations with different viscosities
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DOI:
10.1016/j.jcp.2012.07.020
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发表时间:
2013-01-01
影响因子:
4.1
通讯作者:
He, Yinnian
中科院分区:
文献类型:
--
作者:
Xu, Hui;He, Yinnian
Two-level iterative finite element methods are designed to solve numerically the steady 2D/3D Navier-Stokes equations for a large viscosity m such that a strong uniqueness condition holds. Moreover, the one-level Oseen iterative finite element method based on a fine mesh with small mesh size h is designed to solve numerically the steady 2D/3D Navier-Stokes equations for small viscosity m such that a weak uniqueness condition holds. Meanwhile, the numerical investigations are provided to show that the proposed methods are efficient for solving the 2D/3D steady Navier-Stokes equations for different viscosities. (C) 2012 Elsevier Inc. All rights reserved.