Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model

Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model

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.

Author Details

Wei Li

Pengzhan Huang

Yinnian He