Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642301 | Journal of Computational and Applied Mathematics | 2008 | 9 Pages |
Abstract
In this paper we present a new method to solve the 2D generalized Stokes problem in terms of the stream function and the vorticity. Such problem results, for instance, from the discretization of the evolutionary Stokes system. The difficulty arising from the lack of the boundary conditions for the vorticity is overcome by means of a suitable technique for uncoupling both variables. In order to apply the above technique to the Navier–Stokes equations we linearize the advective term in the vorticity transport equation as described in the development of the paper. We illustrate the good performance of our approach by means of numerical results, obtained for benchmark driven cavity problem solved with classical piecewise linear finite element.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fattehallah Ghadi, Vitoriano Ruas, Mohamed Wakrim,