Parameter Analysis in Continuous Data Assimilation for Various Turbulence Models
Fluid Dynamics
2024-09-06 v1 Numerical Analysis
Mathematical Physics
math.MP
Numerical Analysis
Abstract
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
Keywords
Cite
@article{arxiv.2409.03042,
title = {Parameter Analysis in Continuous Data Assimilation for Various Turbulence Models},
author = {Debora A. F. Albanez and Maicon Jose Benvenutti and Samuel Little and Jing Tian},
journal= {arXiv preprint arXiv:2409.03042},
year = {2024}
}
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