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

✍ Scribed by Yanren Hou; Qingfang Liu

Book ID
104006728
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
560 KB
Volume
231
Category
Article
ISSN
0377-0427

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✦ Synopsis

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.

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