کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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6422617 | 1632028 | 2014 | 15 صفحه PDF | دانلود رایگان |
In this paper we consider a two-level finite volume method for the two-dimensional unsteady Navier-Stokes equations by using two local Gauss integrations. This new stabilized finite volume method is based on the linear mixed finite element spaces. Some new a priori bounds for the approximate solution are derived. Moreover, a two-level stabilized finite volume method involves solving one small Navier-Stokes problem on a coarse mesh with mesh size H, a large general Stokes problem on the fine mesh with mesh size hâªH. The optimal error estimates of the H1-norm for velocity approximation and the L2-norm for pressure approximation are established. If we choose h=O(H2), the two-level method gives the same order of approximation as the one-level stabilized finite volume method. However, our method can save a large amount of computational time.
Journal: Journal of Computational and Applied Mathematics - Volume 263, June 2014, Pages 377-391