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.
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页码：781 / 810
页数：30
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