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• W4313255065 startingPage "115028" @default.
• W4313255065 abstract "Moving interface problems have broad applications in multi-phase flows and fluid–structure interactions. The design of high-order numerical methods for such problems becomes challenging, in particular, when the interface is severely deformed. We propose kth-order unfitted characteristic finite element methods (k=2,3,4) for solving two-dimensional Oseen equations with a time-varying interface. In each time step, the interface is not specified with an explicit function, but constructed numerically with a (k+1)th-order interface-tracking algorithm. We obtain optimal convergence orders of both the discrete velocity and the discrete pressure under the H1-norm. Our convergence analysis includes errors of the approximate interface and the time integration and spatial discretization of the governing equations. Numerical experiments are performed on a rotating object and a severely deformed interface and show optimal convergence orders of the method." @default.
• W4313255065 created "2023-01-06" @default.
• W4313255065 creator A5063627915 @default.
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• W4313255065 date "2023-06-01" @default.
• W4313255065 modified "2023-09-27" @default.
• W4313255065 title "High-order unfitted characteristic finite element methods for moving interface problem of Oseen equations" @default.
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• W4313255065 doi "https://doi.org/10.1016/j.cam.2022.115028" @default.
• W4313255065 hasPublicationYear "2023" @default.
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