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Abstract:
A full discrete two-level postprocessing Fourier Galerkin scheme for the unsteady Navier-Stokes equations with a periodic boundary condition is proposed in this paper. By de. ning a new projection, the interaction between the large and small eddies is reflected by the associated space splitting to some extent. Therefore, a weakly coupled system of the large and small eddies is obtained. Stability and error estimates for the weakly coupled two-level scheme are established in the paper. The proposed scheme is an effective algorithm because nonlinearity is treated only in the coarse-level subspace by solving the coarse-level standard Galerkin equation, and the matrix of the linear algebraic equations arising in each fine-level time stepping is a sparse matrix, especially for large scale computations. As a result, the new scheme saves a lot of CPU time and memory in comparison with the standard Fourier Galerkin method for deriving an approximation of prescribed accuracy.
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SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN: 0036-1429
Year: 2009
Issue: 3
Volume: 47
Page: 1909-1922
1 . 8 4
JCR@2009
3 . 2 1 2
JCR@2020
ESI Discipline: MATHEMATICS;
JCR Journal Grade:1
CAS Journal Grade:2
Cited Count:
WoS CC Cited Count: 18
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 2
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