Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations

HE Yin-nian; LI Kai-tai

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(11): 1141-1149

HE Yin-nian, LI Kai-tai. Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1141-1149.

Citation:

HE Yin-nian, LI Kai-tai. Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1141-1149.

Citation:

HE Yin-nian, LI Kai-tai. Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1141-1149.

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Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations

Departement of Scientific Computing, Faculty of Science, Xi'an Jiaotong University, Xi'an 710049 P R China

Received Date: 2001-03-27
Rev Recd Date: 2002-05-28
Publish Date: 2002-11-15

Abstract

Abstract

A new algorithm combining nonlinear Galerkin method and coupling method of finite element and boundary element is introduced to solve the exterior nonstationary Navier-Stokes equations. The regularity of the coupling variational formulation and the convergence of the approximate solution corresponding to the algorithm are proved.If the fine meshh is choosed as coarse mesh H-sgure, the nonlinear Galerkin method,nonlineatity is only treated on the coarse grid and linearity is treated on the fine grid.Hence,the new algorithm can save a large amount of computational time.
- Navier-Stokes equation,
- finite element,
- boundary element,
- exterior,
- nonlinear,
- galerkin merhod

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References(16)

References

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