TITLE

On an Efficient Finite Element Method for Navier-Stokes-É· with Strong Mass Conservation

AUTHOR(S)
Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.; Wilson, Nicholas E.
PUB. DATE
January 2011
SOURCE
Computational Methods in Applied Mathematics;2011, Vol. 11 Issue 1, p3
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study an efficient finite element method for the NS-ω model, that uses van Cittert approximate deconvolution to improve accuracy and Scott-Vogelius elements to provide pointwise mass conservative solutions and remove the dependence of the (often large) Bernoulli pressure error on the velocity error. We provide a complete numerical analysis of the method, including well-posedness, unconditional stability, and optimal convergence. Additionally, an improved choice of filtering radius (versus the usual choice of the average mesh width) for the scheme is found, by identifying a connection with a scheme for the velocity-vorticity-helicity NSE formulation. Several numerical experiments are given that demonstrate the performance of the scheme, and the improvement offered by the new choice of the filtering radius.
ACCESSION #
61015415

 

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