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.
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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.