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The Bleeps, the Sweeps, and the Creeps: Convergence Rates for Dynamic Observer Patterns via Data Assimilation for the 2D Navier-Stokes Equations [article]

Trenton Franz, Adam Larios, Collin Victor
2021 arXiv   pre-print
We adapt a continuous data assimilation scheme, known as the Azouani-Olson-Titi (AOT) algorithm, to the case of moving observers for the 2D incompressible Navier-Stokes equations.  ...  We propose and test computationally several movement patterns (which we refer to as "the bleeps, the sweeps and the creeps"), as well as Lagrangian motion and combinations of these patterns, in comparison  ...  Acknowledgments Author T.E.F. acknowledges the financial support of the USDA National Institute of Food and Agriculture Hatch project #1020768 and project #2019-67021-29312.  ... 
arXiv:2110.10362v1 fatcat:nw7i4qvhxnfe5lvjyv3wp4o3ve