3 papers
math.NA2026
Data Assimilation with Sparse Observations
Nan Jiang, William Layton, Nanda Nechingal Raghunathan +1
Data assimilation by nudging (also called CDA) yields exponentially decaying errors and an infinite predictability horizon if the method parameter is large enough and the observati…
math.NA2026
Energy dissipation rates of ensemble eddy viscosity models of turbulence: the periodic box
William Layton, Nanda Nechingal Raghunathan
Classical eddy viscosity models of turbulence add an eddy viscosity term based on the Kolmogorov-Prandtl parameterization by a turbulent length scale and a turbulent kinetic en…
math.NA2025
Modular data assimilation for flow prediction
Aytekin Çıbık, Rui Fang, William Layton
This report develops several modular, 2-step realizations (inspired by Kalman filter algorithms) of nudging-based data assimilation $$Step \ 1 \quad \frac{\widetilde {v}^{n+1}-v^{n…