Spectral-Finite Element Method for Solving Three-Dimensional Unsteady Navier-Stokes Equations

被引：0

作者：

曹卫明 ^{[1
]}

郭本瑜 ^{[1
]}

机构：

[1] Shanghai University of Science and Technology,Shanghai 201800

来源：

Acta Mathematica Sinica,English Series | 1993年 / 01期

关键词：

FEM; Spectral-Finite Element Method for Solving Three-Dimensional Unsteady Navier-Stokes Equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is devoted to the combined Fourier spectral and finite element approxima-tions of three-dimensional,semi-periodic,unsteady Navier-Stokes equations.Fourier spectralmethod and finite element method are employed in the periodic and non-periodic directionsrespectively.A class of fully discrete schemes are constructed with artificial compression.Stricterror estimations are proved.The analysis shows also that the classical two-dimensional velocity-pressure elements can be readily extended to solving such three-dimensional semi-periodic prob-lems,provided they satisfy the two-dimensional"inf-suf"condition.

引用

页码：27 / 38

页数：12

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