Numerical Study of the Navier-Stokes-α Deconvolution Model with Pointwise Mass Conservation
Document Type
Article
Publication Date
6-5-2017
Publication Title
International Journal of Computer Mathematics
Volume
9
First page number:
1727
Last page number:
1760
Abstract
This paper presents an efficient, universally stable finite-element scheme for the NSα deconvolution model. Accuracy is enhanced by van Cittert approximate deconvolution, as well as through the choice of pointwise divergence-free discrete spaces. Finite-element analysis is provided, which includes results for stability, well-posedness, and optimal convergence of both velocity and pressure solutions. Finally, several numerical experiments are presented which demonstrate the performance of NSα, as well as illustrate the advantages of pointwise divergence-free finite elements.
Keywords
Navier-Stokes-α; Finite element; Deconvolution; Error analysis
Disciplines
Applied Mathematics
Language
English
Repository Citation
Breckling, S.,
Neda, M.
(2017).
Numerical Study of the Navier-Stokes-α Deconvolution Model with Pointwise Mass Conservation.
International Journal of Computer Mathematics, 9
1727-1760.
http://dx.doi.org/10.1080/00207160.2017.1329532
