activity
20062024
most citedAbridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field

95 citations · 334 across the 15 of their papers we have counts for

collaborators

17 papers

math.DS2024

Data-Driven Model Identification Using Time Delayed Nonlinear Maps for Systems with Multiple Attractors

Athanasios P. lliopoulos, Evelyn Lunasin, John G. Michopoulos +2

This study presents a method, along with its algorithmic and computational framework implementation, and performance verification for dynamical system identification. The approach…

math.DS2024

Probabilistic Eddy Identification with Uncertainty Quantification

Jeffrey Covington, Nan Chen, Stephen Wiggins +1

Mesoscale eddies are critical in ocean circulation and the global climate system. Standard eddy identification methods are usually based on deterministic optimal point estimates of…

physics.flu-dyn2023★ 1 cited

Launching Drifter Observations in the Presence of Uncertainty

Nan Chen, Evelyn Lunasin, Stephen Wiggins

Determining the optimal locations for placing extra observational measurements has practical significance. However, the exact underlying flow field is never known in practice. Sign…

physics.flu-dyn2023

Lagrangian Descriptors with Uncertainty

Nan Chen, Evelyn Lunasin, Stephen Wiggins

Lagrangian descriptors provide a global dynamical picture of the geometric structures for arbitrarily time-dependent flows with broad applications. This paper develops a mathematic…

physics.flu-dyn2021★ 1 cited

An Efficient Continuous Data Assimilation Algorithm for the Sabra Shell Model of Turbulence

Nan Chen, Yuchen Li, Evelyn Lunasin

Complex nonlinear turbulent dynamical systems are ubiquitous in many areas. Recovering unobserved state variables is an important topic for the data assimilation of turbulent syste…

math.AP2017★ 1 cited

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

Aseel Farhat, Evelyn Lunasin, Edriss S. Titi

In this paper we survey the various implementations of a new data assimilation (downscaling) algorithm based on spatial coarse mesh measurements. As a paradigm, we demonstrate the…