A stabilized finite volume method for the stationary Navier–Stokes equations

Ying Sheng, Tie Zhang and Zhong-Zhong Jiang

Chaos, Solitons & Fractals, 2016, vol. 89, issue C, 363-372

Abstract: In the present paper, we propose a stabilized finite volume element method for the Navier–Stokes equations using the lowest order P1−P0 element pair. The stabilized method is designed by adding a jump term of the discrete pressure to the continuity approximation equation. A discrete inf–sup condition is established for the stabilized finite volume element scheme which assures the stability of the discrete solutions. The optimal error estimates are derived in the H1-norm for velocity and the L2-norm for pressure, respectively. Moreover, the optimal L2- error estimate is also given for velocity approximation.

Keywords: Finite volume method; Navier–Stokes problem; Stabilized method; P1 − P0 element pair; Inf–sup condition (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077916000047
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:chsofr:v:89:y:2016:i:c:p:363-372

DOI: 10.1016/j.chaos.2016.01.002

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().