A Second Order Modified Characteristics Variational Multiscale Finite Element Method for Time-Dependent Navier-Stokes Problems
Year: 2013
Journal of Computational Mathematics, Vol. 31 (2013), Iss. 2 : pp. 154–174
Abstract
In this paper, by combining the second order characteristics time discretization with the variational multiscale finite element method in space we get a second order modified characteristics variational multiscale finite element method for the time dependent Navier-Stokes problem. The theoretical analysis shows that the proposed method has a good convergence property. To show the efficiency of the proposed finite element method, we first present some numerical results for analytical solution problems. We then give some numerical results for the lid-driven cavity flow with $Re$=5000, 7500 and 10000. We present the numerical results as the time is sufficiently long, so that the steady state numerical solutions can be obtained.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1210-m3799
Journal of Computational Mathematics, Vol. 31 (2013), Iss. 2 : pp. 154–174
Published online: 2013-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Modified method of characteristics Defect-correction finite element method Navier-Stokes problems Characteristics-based method Lid-driven problem.
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