Year: 2011
Author: Zakaria Belhachmi, Andreas Karageorghis
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 4 : pp. 448–469
Abstract
In this paper, we study the numerical solution of the Stokes system in deformed axisymmetric geometries. In the azimuthal direction the discretization is carried out by using truncated Fourier series, thus reducing the dimension of the problem. The resulting two-dimensional problems are discretized using the spectral element method which is based on the variational formulation in primitive variables. The meridian domain is subdivided into elements, in each of which the solution is approximated by truncated polynomial series. The results of numerical experiments for several geometries are presented.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1050
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 4 : pp. 448–469
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Spectral element method Stokes equations variational formulation deformed geometries Fourier expansion.
Author Details
-
A Fourier–Legendre spectral element method in polar coordinates
Qiu, Zhouhua
Zeng, Zhong
Mei, Huan
Li, Liang
Yao, Liping
Zhang, Liangqi
Journal of Computational Physics, Vol. 231 (2012), Iss. 2 P.666
https://doi.org/10.1016/j.jcp.2011.10.003 [Citations: 10]