A stabilized semi-implicit Galerkin scheme for Navier–Stokes equations

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摘要

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 σ 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.

论文关键词:65M12,76D03,65M70,Semi-implicit scheme,Stability,Error estimate,Navier–Stokes equations

论文评审过程:Received 9 January 2009, Revised 31 March 2009, Available online 22 April 2009.

论文官网地址:https://doi.org/10.1016/j.cam.2009.04.005