A new formulation of the Stokes problem in a cylinder, and its spectral discretization

被引：3

作者：

Abdellatif, N

Bernardi, C

机构：

[1] Ecole Natl Sci Informat, Manouba 2010, Tunisia

[2] CNRS, Lab Jacques Louis Lions, F-75252 Paris 05, France

[3] Univ Paris 06, F-75252 Paris 05, France

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2004年 / 38卷 / 05期

关键词：

Stokes problem; spectral methods; axisymmetric geometries;

D O I：

10.1051/m2an:2004039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze a new formulation of the Stokes equations in three-dimensional axisymmetric geometries, relying on Fourier expansion with respect to the angular variable: the problem for each Fourier coefficient is two-dimensional and has six scalar unknowns, corresponding to the vector potential and the vorticity. A spectral discretization is built on this formulation, which leads to an exactly divergence-free discrete velocity. We prove optimal error estimates.

引用

页码：781 / 810

页数：30

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