Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm
We study a nonlinear-nudging modification of the Azouani–Olson–Titi continuous data
assimilation (downscaling) algorithm for the 2D incompressible Navier–Stokes equations …
assimilation (downscaling) algorithm for the 2D incompressible Navier–Stokes equations …
Continuous data assimilation for the 3D and higher-dimensional Navier–Stokes equations with higher-order fractional diffusion
A Larios, C Victor - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
We study the use of the Azouani-Olson-Titi (AOT) continuous data assimilation algorithm to
recover solutions of the 3D Navier–Stokes equations modified to have finer-order fractional …
recover solutions of the 3D Navier–Stokes equations modified to have finer-order fractional …
[HTML][HTML] Adaptive parameter selection in nudging based data assimilation
Data assimilation combines (imperfect) knowledge of a flow's physical laws with (noisy, time-
lagged, and otherwise imperfect) observations to produce a more accurate prediction of flow …
lagged, and otherwise imperfect) observations to produce a more accurate prediction of flow …
Application of continuous data assimilation in high-resolution ocean modeling
A Larios, MR Petersen, C Victor - arXiv preprint arXiv:2308.02705, 2023 - arxiv.org
We demonstrate a formulation of the Azouani-Olson-Titi (AOT) algorithm in the MPAS-Ocean
implementation of the primitive equations of the ocean, presenting global ocean simulations …
implementation of the primitive equations of the ocean, presenting global ocean simulations …
Recovery of Turbulent Fluids With Continuous Data Assimilation: Enhancing Results Through Effective Observation and Assimilation
C Victor - 2023 - search.proquest.com
In this thesis, I investigate a computationally efficient algorithm for data assimilation in
recovering solutions to turbulent fluids, specifically the Azouani-Olson-Titi continuous data …
recovering solutions to turbulent fluids, specifically the Azouani-Olson-Titi continuous data …