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- W3190744488 abstract "The efficiency of a nudging data assimilation algorithm using higher order finite element interpolating operators is studied. Numerical experiments are presented for the 2D Navier–Stokes equations in three cases: shear flow in an annulus, a forced flow in a disk with an off-center cavity, and a forced flow in a box all satisfying Dirichlet boundary conditions. In all three cases, second order interpolation of coarse-grain data is shown to outperform first order interpolation. Convergence of the nudged solution to that of a direct numerical reference solution is proved. The analysis points to a trade-off in the estimates for higher order interpolating operators" @default.
- W3190744488 created "2021-08-16" @default.
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- W3190744488 date "2022-10-28" @default.
- W3190744488 modified "2023-09-24" @default.
- W3190744488 title "Data assimilation with higher order finite element interpolants" @default.
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- W3190744488 doi "https://doi.org/10.1002/fld.5152" @default.
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