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arXiv · 2108.03631

Data Assimilation with Higher Order Finite Element Interpolants

Michael S. Jolly·Ali Pakzad
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Abstract

The efficacy 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 two cases: shear flow in an annulus and a forced flow in a disk with an off-center cavity. In both 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.

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Michael S. Jolly, Ali Pakzad. 2021-08-08. Data Assimilation with Higher Order Finite Element Interpolants. https://arxiv.org/abs/2108.03631

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