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Journal of Computational Physics
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Journal of Computational Physics
Article . 2017 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
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Displacement data assimilation

Authors: W. Steven Rosenthal; Shankar Venkataramani; Arthur J. Mariano; Juan M. Restrepo;

Displacement data assimilation

Abstract

We show that modifying a Bayesian data assimilation scheme by incorporating kinematically-consistent displacement corrections produces a scheme that is demonstrably better at estimating partially observed state vectors in a setting where feature information important. While the displacement transformation is not tied to any particular assimilation scheme, here we implement it within an ensemble Kalman Filter and demonstrate its effectiveness in tracking stochastically perturbed vortices.

26 Pages, 9 figures, 5 tables

Keywords

93E11, 93B40, 76B47, 37N10, uncertainty quantification, Data smoothing in stochastic control theory, FOS: Physical sciences, Vortex flows for incompressible inviscid fluids, vortex dynamics, displacement assimilation, ensemble Kalman filter, Filtering in stochastic control theory, Physics - Atmospheric and Oceanic Physics, Physics - Data Analysis, Statistics and Probability, Atmospheric and Oceanic Physics (physics.ao-ph), PDEs with randomness, stochastic partial differential equations, data assimilation, Data Analysis, Statistics and Probability (physics.data-an)

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Average
Top 10%
Green
hybrid