Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

4 Issues per year

IMPACT FACTOR 2017: 0.658

CiteScore 2017: 1.05

SCImago Journal Rank (SJR) 2017: 1.291
Source Normalized Impact per Paper (SNIP) 2017: 0.893

Mathematical Citation Quotient (MCQ) 2017: 0.76

See all formats and pricing
More options …
Volume 11, Issue 1


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

Carolina C. Manica
Monika Neda
Maxim Olshanskii
Leo G. Rebholz
Nicholas E. Wilson


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.

Keywords: Navier-Stokes-alpha; Navier-Stokes-omega; approximate deconvolution; Scott-Vogelius elements

About the article

Received: 2011-02-25

Revised: 2011-03-18

Accepted: 2011-03-25

Published in Print:

Citation Information: Computational Methods in Applied Mathematics Comput. Methods Appl. Math., Volume 11, Issue 1, Pages 3–22, ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.2478/cmam-2011-0001.

Export Citation

© Institute of Mathematics, NAS of Belarus. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. BY-NC-ND 4.0

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Igor O. Monteiro and Carolina C. Manica
Journal of Numerical Mathematics, 2017, Volume 25, Number 2
Sean Breckling and Monika Neda
International Journal of Computer Mathematics, 2017, Page 1
A. Linke and C. Merdon
Computer Methods in Applied Mechanics and Engineering, 2016, Volume 311, Page 304
Mine A. Belenli, Songül Kaya, Leo G. Rebholz, and Nicholas E. Wilson
International Journal of Computer Mathematics, 2013, Volume 90, Number 7, Page 1506
Benjamin R. Cousins, Sabine Le Borne, Alexander Linke, Leo G. Rebholz, and Zhen Wang
Numerical Methods for Partial Differential Equations, 2013, Volume 29, Number 4, Page 1217
Tae-Yeon Kim, Monika Neda, Leo G. Rebholz, and Eliot Fried
Computer Methods in Applied Mechanics and Engineering, 2011, Volume 200, Number 41-44, Page 2891
Keith J. Galvin, Leo G. Rebholz, and Catalin Trenchea
SIAM Journal on Numerical Analysis, 2014, Volume 52, Number 2, Page 678
Eleanor W. Jenkins, Chris Paribello, and Nicholas E. Wilson
Numerical Methods for Partial Differential Equations, 2014, Volume 30, Number 2, Page 625
Abigail L. Bowers, Tae-Yeon Kim, Monika Neda, Leo G. Rebholz, and Eliot Fried
Applied Mathematical Modelling, 2013, Volume 37, Number 3, Page 1225

Comments (0)

Please log in or register to comment.
Log in