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A note on the importance of mass conservation in long-time stability of Navier-Stokes simulations using finite elements
Date
2015-07-01
Author
Belenli, Mine Akbas
Rebholz, Leo G.
Tone, Florentina
Metadata
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Cite This
We prove a long-time stability result for the finite element in space, linear extrapolated Crank-Nicolson in time discretization of the Navier-Stokes equations (NSE). From this result and a numerical experiment, we show the importance of discrete mass conservation in long-time simulations of the NSE. That is, we show that using elements that strongly enforce mass conservation can provide significantly more accurate solutions over long times, compared to those that enforce it weakly.
Subject Keywords
Navier-Stokes equations
,
Long-time stability
,
Divergence-free finite elements
,
Crank-Nicolson
URI
https://hdl.handle.net/11511/67101
Journal
APPLIED MATHEMATICS LETTERS
DOI
https://doi.org/10.1016/j.aml.2015.01.018
Collections
Department of Mathematics, Article
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BibTeX
M. A. Belenli, L. G. Rebholz, and F. Tone, “A note on the importance of mass conservation in long-time stability of Navier-Stokes simulations using finite elements,”
APPLIED MATHEMATICS LETTERS
, pp. 98–102, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67101.