A finite element variational multiscale method for incompressible flow

Yu Jiang, Liquan Mei and Huiming Wei

Applied Mathematics and Computation, 2015, vol. 266, issue C, 374-384

Abstract: In this paper, we present a numerical scheme, prove stability, existence of solutions, uniqueness and convergence of the incompressible Navier–Stokes equations. It has the advantage of being defined from strictly algebraic considerations. A significant feature of the present method is that the structure of the stabilization term based on the multiscale enrichment and derived from the Navier–Stokes problem itself. Ample numerical experiments are carried out to confirm the theory and illustrate the effectiveness of the scheme on incompressible fluid.

Keywords: Finite element; Variational multiscale method(VMS); Incompressible flow; Navier-Stokes equation (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315006797
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:374-384

DOI: 10.1016/j.amc.2015.05.055

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().