most citedLong short-term memory embedded nudging schemes for nonlinear data assimilation of geophysical flows

62 citations · 123 across the 5 of their papers we have counts for

collaborators

8 papers

math.DS20204 cited

Reduced order modeling of fluid flows: Machine learning, Kolmogorov barrier, closure modeling, and partitioning

Shady Ahmed, Suraj Pawar, Omer San +1

In this paper, we put forth a long short-term memory (LSTM) nudging framework for the enhancement of reduced order models (ROMs) of fluid flows utilizing noisy measurements. We bui…

physics.comp-ph202062 cited

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…

physics.flu-dyn2019

A long short-term memory embedding for hybrid uplifted reduced order models

Shady E. Ahmed, Omer San, Adil Rasheed +1

In this paper, we introduce an uplifted reduced order modeling (UROM) approach through the integration of standard projection based methods with long short-term memory (LSTM) embed…

physics.comp-ph2019

An evolve-then-correct reduced order model for hidden fluid dynamics

Suraj Pawar, Shady E. Ahmed, O. San +1

In this paper, we put forth an evolve-then-correct reduced order modeling approach that combines intrusive and nonintrusive models to take hidden physical processes into account. S…

physics.comp-ph2019

Data-driven recovery of hidden physics in reduced order modeling of fluid flows

Suraj Pawar, Shady E. Ahmed, Omer San +1

In this article, we introduce a modular hybrid analysis and modeling (HAM) approach to account for hidden physics in reduced order modeling (ROM) of parameterized systems relevant…

physics.flu-dyn2019

Sampling and resolution characteristics in reduced order models of shallow water equations: intrusive vs non-intrusive

Shady E. Ahmed, Omer San, Diana A. Bistrian +1

We investigate the sensitivity of reduced order models (ROMs) to training data resolution as well as sampling rate. In particular, we consider proper orthogonal decomposition (POD)…