Year: 2021
Author: Wei Li, Pengzhan Huang, Yinnian He
Communications in Computational Physics, Vol. 30 (2021), Iss. 2 : pp. 536–566
Abstract
In this work, two fully discrete grad-div stabilized finite element schemes for the fluid-fluid interaction model are considered. The first scheme is standard grad-div stabilized scheme, and the other one is modular grad-div stabilized scheme which adds to Euler backward scheme an update step and does not increase computational time for increasing stabilized parameters. Moreover, stability and error estimates of these schemes are given. Finally, computational tests are provided to verify both the numerical theory and efficiency of the presented schemes.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2020-0123
Communications in Computational Physics, Vol. 30 (2021), Iss. 2 : pp. 536–566
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 31
Keywords: Fluid-fluid interaction model grad-div stabilized scheme stability error estimate.
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