Parameter Analysis in Continuous Data Assimilation for Various Turbulence Models
DAF Albanez, MJ Benvenutti, S Little, J Tian - arXiv preprint arXiv …, 2024 - arxiv.org
In this study, we conduct parameter estimation analysis on a data assimilation algorithm for
two turbulence models: the simplified Bardina model and the Navier-Stokes-{\alpha} model.
Our approach involves creating an approximate solution for the turbulence models by
employing an interpolant operator based on the observational data of the systems. The
estimation depends on the parameter alpha in the models. Additionally, numerical
simulations are presented to validate our theoretical results
two turbulence models: the simplified Bardina model and the Navier-Stokes-{\alpha} model.
Our approach involves creating an approximate solution for the turbulence models by
employing an interpolant operator based on the observational data of the systems. The
estimation depends on the parameter alpha in the models. Additionally, numerical
simulations are presented to validate our theoretical results
[CITATION][C] Parameter Analysis in Continuous Data Assimilation for Various Turbulence Models
SD Little - 2025 Joint Mathematics Meetings (JMM 2025) - meetings.ams.org
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