A decoupled algorithm for fluid-fluid interaction at small viscosity
Filomat, Tome 37 (2023) no. 19, p. 6365

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In this paper, a decoupled finite element algorithm is proposed for solving the fluid-fluid interaction at small viscosity. The basic idea of the presented algorithm is to first solve an artificial viscosity elliptic problem with explicit treatment for nonlinear interface conditions, and then solve an artificial viscosity Stokes problem to correct the previous solution. The unconditional stability is established and the efficiency is illustrated by some numerical tests.
DOI : 10.2298/FIL2319365L
Classification : 65M60, 65M32
Keywords: Fluid-fluid interaction model, Finite element method, Unconditional stability, Small viscosity.
Wei Li; Pengzhan Huang. A decoupled algorithm for fluid-fluid interaction at small viscosity. Filomat, Tome 37 (2023) no. 19, p. 6365 . doi: 10.2298/FIL2319365L
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     author = {Wei Li and Pengzhan Huang},
     title = {A decoupled algorithm for fluid-fluid interaction at small viscosity},
     journal = {Filomat},
     pages = {6365 },
     year = {2023},
     volume = {37},
     number = {19},
     doi = {10.2298/FIL2319365L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2319365L/}
}
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