# Continuous Data Assimilation for a 2D Bénard Convection System Through Horizontal Velocity Measurements Alone

@article{Farhat2017ContinuousDA, title={Continuous Data Assimilation for a 2D B{\'e}nard Convection System Through Horizontal Velocity Measurements Alone}, author={Aseel Farhat and Evelyn Lunasin and Edriss S. Titi}, journal={Journal of Nonlinear Science}, year={2017}, volume={27}, pages={1065-1087} }

In this paper we propose a continuous data assimilation (downscaling) algorithm for a two-dimensional Bénard convection problem. Specifically we consider the two-dimensional Boussinesq system of a layer of incompressible fluid between two solid horizontal walls, with no-normal flow and stress-free boundary conditions on the walls, and the fluid is heated from the bottom and cooled from the top. In this algorithm, we incorporate the observables as a feedback (nudging) term in the evolution…

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