Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641192 | Journal of Computational and Applied Mathematics | 2009 | 9 Pages |
Abstract
By introducing a time relaxation term for the time derivative of higher frequency components, we proposed a stabilized semi-implicit Galerkin scheme for evolutionary Navier–Stokes equations in this paper. Analysis shows that such a scheme has weaker stability conditions than that of a classical semi-implicit Galerkin scheme and, when a suitable relaxation parameter σσ is chosen, it generates an approximate solution with the same accuracy as the classical one. That means the proposed scheme might use a larger time step to generate a bounded approximate solution. Thus it is more suitable for long time simulations.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yanren Hou, Qingfang Liu,