Article ID Journal Published Year Pages File Type
4641192 Journal of Computational and Applied Mathematics 2009 9 Pages PDF
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
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