Some iterative finite element methods for steady Navier-Stokes equations with different viscosities

Xu H.; He Y.

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Some iterative finite element methods for steady Navier-Stokes equations with different viscosities

机译：具有不同粘度的稳定Navier-Stokes方程的一些迭代有限元方法

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Two-level iterative finite element methods are designed to solve numerically the steady 2D/3D Navier-Stokes equations for a large viscosity ν 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 ν 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.

机译：设计了两级迭代有限元方法，以数字方式求解大粘度ν的稳定2D / 3D Navier-Stokes方程，从而满足强唯一性条件。此外，设计了基于小网格尺寸h的细网格的单层Oseen迭代有限元方法，以数值方式求解小粘度ν的稳态2D / 3D Navier-Stokes方程，从而保持弱唯一性条件。同时，数值研究表明所提出的方法对于求解不同粘度的2D / 3D稳态Navier-Stokes方程是有效的。

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来源
《Journal of Computational Physics》 |2013年第1期|共17页
作者
Xu H.; He Y.;
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正文语种 eng
中图分类数学物理方法;
关键词
Finite element method; Navier-Stokes equations; Newton correction; Oseen correction; Stokes correction; Two-level method;

机译：有限元方法;Navier-Stokes方程;牛顿校正;Oseen校正;Stokes校正;二级方法;

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1. Some iterative finite element methods for steady Navier-Stokes equations with different viscosities [J] . Xu H., He Y. Journal of Computational Physics . 2013,第1期

机译：具有不同粘度的稳定Navier-Stokes方程的一些迭代有限元方法
2. An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity [J] . Camano Jessika, Gatica Gabriel N., Oyarzua Ricardo, Numerical Methods for Partial Differential Equations: An International Journal . 2017,第5期

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3. An element-by-element BICGSTAB iterative method for three-dimensional steady Navier-Stokes equations [J] . Morten M. T. Wang, Tony W. H. Sheu Journal of Computational and Applied Mathematics . 1997,第1期

机译：三维稳态Navier-Stokes方程的逐元素BICGSTAB迭代方法
4. Performance of Local Gauss Integration in Finite Element and Finite Volume Methods for the Navier-Stokes Equations [C] . He Zhong, Zhangxin Chen International Conference on High Performance Computing and Applications . 2010

机译：Navier-Stokes方程有限元和有限卷方法中本地高斯集成的性能
5. Mixed finite element methods for the Stokes and Navier-Stokes equations. [D] . Wang, Chunbo. 2007

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7. An element-by-element BICGSTAB iterative method for three-dimensional steady Navier-Stokes equations [O] . Wang Morten M.T, Sheu Tony W.H 1997

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Some iterative finite element methods for steady Navier-Stokes equations with different viscosities

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