145 citations · 718 across the 19 of their papers we have counts for
6 papers · 1 filter
A data driven reduced order model of fluid flow by Auto-Encoder and self-attention deep learning methods
R. Fu, D. Xiao, I. M. Navon +1
This paper presents a new data-driven non-intrusive reduced-order model(NIROM) that outperforms the traditional Proper orthogonal decomposition (POD) based reducedorder model. This…
A nonintrusive hybrid neural-physics modeling of incomplete dynamical systems: Lorenz equations
Suraj Pawar, Omer San, Adil Rasheed +1
This work presents a hybrid modeling approach to data-driven learning and representation of unknown physical processes and closure parameterizations. These hybrid models are suitab…
Long short-term memory embedded nudging schemes for nonlinear data assimilation of geophysical flows
Suraj Pawar, Shady E. Ahmed, Omer San +2
Reduced rank nonlinear filters are increasingly utilized in data assimilation of geophysical flows, but often require a set of ensemble forward simulations to estimate forecast cov…
On Triangle Inequality Based Approximation Error Estimation
A. K. Alekseev, A. E. Bondarev, I. M. Navon
The distance between the true and numerical solutions in some metric is considered as the discretization error magnitude. If error magnitude ranging is known, the triangle inequali…
On Estimation of Discretization Error Norm via Ensemble of Approximate Solutions
A. K. Alekseev, A. E. Bondarev, I. M. Navon
The issue of single-grid discretization error estimator, operating in the postprocessor mode, is addressed in the paper. An ensemble of numerical solutions, obtained using solvers…
POD/DEIM Nonlinear model order reduction of an ADI implicit shallow water equations model
Razvan Stefanescu, Ionel Michael Navon
In the present paper we consider a 2-D shallow-water equations (SWE) model on a -plane solved using an alternating direction fully implicit (ADI) finite-difference scheme on a r…