A Reduced-Order Stabilized CNFVE Extrapolating Model for Non-Stationary Stokes Equations

TENG Fei; LUO Zhen-dong

doi:10.3879/j.issn.1000-0887.2014.09.005

Volume 35 Issue 9

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TENG Fei, LUO Zhen-dong. A Reduced-Order Stabilized CNFVE Extrapolating Model for Non-Stationary Stokes Equations[J]. Applied Mathematics and Mechanics, 2014, 35(9): 986-1001. doi: 10.3879/j.issn.1000-0887.2014.09.005

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A Reduced-Order Stabilized CNFVE Extrapolating Model for Non-Stationary Stokes Equations

doi: 10.3879/j.issn.1000-0887.2014.09.005

TENG Fei¹,
LUO Zhen-dong²

¹School of Mathematical Science, Kaili University, Kaili, Guizhou 556011, P.R.China;²School of Mathematics and Physics, North China Electric Power University, Beijing 102206, P.R.China

Funds: The National Natural Science Foundation of China(11271127)

Received Date: 2014-05-15
Rev Recd Date: 2014-06-06
Publish Date: 2014-09-15

Abstract

Abstract

A reduced-order stabilized Crank-Nicolson finite volume element (SCNFVE) extrapolating model with sufficiently high accuracy and few degrees of freedom for non-stationary Stokes equations was established by means of the SCNFVE method and the proper orthogonal decompostion (POD) technique. The error estimates of the reduced-order approximate solutions and the algorithm implementation for the reduced-order SCNFVE extrapolating model were provided. Finally, a numerical example of conduit flow indicates that the results of the proposed model are consistent with those of the theoretical solution. Moreover, the advantages of lower computation complexity and higher calculation accuracy of the reduced-order SCNFVE extrapolating model are shown in comparison with the classical methods.

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References

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