Spectral element discretization of the stokes equations in deformed axisymmetric geometries
Date
2011ISSN
2070-0733Source
Advances in Applied Mathematics and MechanicsVolume
3Issue
4Pages
448-469Google Scholar check
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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. © 2011 Global Science Press.