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 …
Identifying the body force from partial observations of a two-dimensional incompressible velocity field
Using limited observations of the velocity field of the two-dimensional Navier-Stokes
equations, we successfully reconstruct the steady body force that drives the flow. The …
equations, we successfully reconstruct the steady body force that drives the flow. The …
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 …
Determining the viscosity of the Navier–Stokes equations from observations of finitely many modes
A Biswas, J Hudson - Inverse Problems, 2023 - iopscience.iop.org
In this work, we ask and answer the question: when is the viscosity of a fluid uniquely
determined from spatially sparse measurements of its velocity field? We pose the question …
determined from spatially sparse measurements of its velocity field? We pose the question …
Identifying the body force from partial observations of a 2D incompressible velocity field
Using limited observations of the velocity field of the two-dimensional Navier-Stokes
equations, we successfully reconstruct the steady body force that drives the flow. The …
equations, we successfully reconstruct the steady body force that drives the flow. The …
Model discovery on the fly using continuous data assimilation
J Newey, JP Whitehead, E Carlson - arXiv preprint arXiv:2411.13561, 2024 - arxiv.org
We review an algorithm developed for parameter estimation within the Continuous Data
Assimilation (CDA) approach. We present an alternative derivation for the algorithm …
Assimilation (CDA) approach. We present an alternative derivation for the algorithm …
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 …