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Abstract:
A stabilized finite volume method for solving the transient Navier-Stokes equations is developed and studied in this paper. This method maintains conservation property associated with the Navier-Stokes equations. An error analysis based on the variational formulation of the corresponding finite volume method is first introduced to obtain optimal error estimates for velocity and pressure. This error analysis shows that the present stabilized finite volume method provides an approximate solution with the same convergence rate as that provided by the stabilized linear finite element method for the Navier-Stokes equations under the same regularity assumption on the exact solution and a slightly additional regularity on the source term. The stability and convergence results of the proposed method are also demonstrated by the numerical experiments presented.
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Source :
ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN: 1019-7168
Year: 2013
Issue: 2
Volume: 38
Page: 281-320
1 . 5 6 2
JCR@2013
1 . 9 1 0
JCR@2020
ESI Discipline: MATHEMATICS;
ESI HC Threshold:73
JCR Journal Grade:2
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 14
SCOPUS Cited Count: 22
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 7
Affiliated Colleges: