95 citations · 334 across the 15 of their papers we have counts for
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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…
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…
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…
Spectral scaling of the Leray- model for two-dimensional turbulence
Evelyn Lunasin, Susan Kurien, Edriss S. Titi
We present data from high-resolution numerical simulations of the Navier-Stokes- and the Leray- models for two-dimensional turbulence. It was shown previously (Lunasin et al.…
A study of the Navier-Stokes-alpha model for two-dimensional turbulence
E. Lunasin, S. Kurien, M. Taylor +1
For wavenumbers k such that k * alpha > 1, corresponding to spatial scales smaller than alpha, there are three candidate power laws for the energy spectrum of the Navier-Stokes-alp…
Global Well-posedness of the Three-dimensional Viscous and Inviscid Simplified Bardina Turbulence Models
Y. Cao, E. M. Lunasin, E. S. Titi
In this paper we present analytical studies of three-dimensional viscous and inviscid simplified Bardina turbulence models with periodic boundary conditions. The global existence a…