Data assimilation with model error: Analytical and computational study for Sabra shell model

N Chen, A Farhat, E Lunasin - Physica D: Nonlinear Phenomena, 2023 - Elsevier
Understanding the impact of model error on data assimilation is an important practical topic.
Model error in the subgrid scale is commonly seen in various applications as a natural …

A data assimilation algorithm: The paradigm of the 3D Leray-α model of turbulence

A Farhat, E Lunasin, ES Titi - Partial differential equations arising …, 2019 - books.google.com
Data assimilation is a methodology to estimate weather or ocean variables by combining
(synchronizing) information from observational data with a numerical dynamical (forecast) …

On an accurate α model for coarse mesh turbulent channel flow simulation

LG Rebholz, TY Kim, YJ Byon - Applied Mathematical Modelling, 2017 - Elsevier
We present an analytical and numerical study of the reduced NS-α (rNS-α) model of
incompressible fluid flow, which was recently proposed as an approximation to NS-α that …

The Reduced NS-α Model for Incompressible Flow: A Review of Recent Progress

AL Bowers, LG Rebholz - Fluids, 2017 - mdpi.com
This paper gives a review of recent results for the reduced Navier–Stokes-α (rNS-α) model of
incompressible flow. The model was recently developed as a numerical approximation to …

[PDF][PDF] Bounds on energy and enstrophy for the 3D Navier-Stokes-α and Leray-α models

A Farhat, MS Jolly, E Lunasin - Communications on Pure and …, 2014 - researchgate.net
We construct semi-integral curves which bound the projections of the global attractors of the
3D NS-α and 3D Leray-α sub-grid scale turbulence models in the plane spanned by their …