For the 3D modified Leray-alpha model, an assimilated solution with a guessed parameter β converges to the true solution up to an error of order |α²-β²|², under explicit conditions.
Parameter Analysis in Continuous Data Assimilation for Various Turbulence Models
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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
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Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches
For the 3D modified Leray-alpha model, an assimilated solution with a guessed parameter β converges to the true solution up to an error of order |α²-β²|², under explicit conditions.