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This content will become publicly available on June 27, 2026

Title: Parameter analysis in continuous data assimilation for various turbulence models
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-α model. Rigorous estimates are presented for the convergence of continuous data assimilation methods when the parameters of the turbulence models are not known a priori. 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.  more » « less
Award ID(s):
2316894
PAR ID:
10625330
Author(s) / Creator(s):
; ; ;
Publisher / Repository:
Elsevier
Date Published:
Journal Name:
Communications in Nonlinear Science and Numerical Simulation
ISSN:
10075704
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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