Parameter Analysis in Continuous Data Assimilation for Various Turbulence Models

Fuente: arXiv
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Autores principales: Albanez, Debora A. F., Benvenutti, Maicon Jose, Little, Samuel, Tian, Jing
Formato: Preprint
Publicado: 2024
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author Albanez, Debora A. F.
Benvenutti, Maicon Jose
Little, Samuel
Tian, Jing
author_facet Albanez, Debora A. F.
Benvenutti, Maicon Jose
Little, Samuel
Tian, Jing
contents 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. 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
format Preprint
id arxiv_https___arxiv_org_abs_2409_03042
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Parameter Analysis in Continuous Data Assimilation for Various Turbulence Models
Albanez, Debora A. F.
Benvenutti, Maicon Jose
Little, Samuel
Tian, Jing
Fluid Dynamics
Numerical Analysis
Mathematical Physics
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. 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
title Parameter Analysis in Continuous Data Assimilation for Various Turbulence Models
topic Fluid Dynamics
Numerical Analysis
Mathematical Physics
url https://arxiv.org/abs/2409.03042