Search Results for author: Shady E. Ahmed

Found 6 papers, 4 papers with code

A Multifidelity deep operator network approach to closure for multiscale systems

no code implementations15 Mar 2023 Shady E. Ahmed, Panos Stinis

Projection-based reduced order models (PROMs) have shown promise in representing the behavior of multiscale systems using a small set of generalized (or latent) variables.

Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling

no code implementations25 May 2022 Shady E. Ahmed, Omer San, Adil Rasheed, Traian Iliescu, Alessandro Veneziani

We propose a new physics guided machine learning (PGML) paradigm that leverages the variational multiscale (VMS) framework and available data to dramatically increase the accuracy of reduced order models (ROMs) at a modest computational cost.

BIG-bench Machine Learning

Nonlinear proper orthogonal decomposition for convection-dominated flows

1 code implementation15 Oct 2021 Shady E. Ahmed, Omer San, Adil Rasheed, Traian Iliescu

Autoencoder techniques find increasingly common use in reduced order modeling as a means to create a latent space.

Time Series Time Series Analysis

Interface learning of multiphysics and multiscale systems

1 code implementation17 Jun 2020 Shady E. Ahmed, Omer San, Kursat Kara, Rami Younis, Adil Rasheed

Complex natural or engineered systems comprise multiple characteristic scales, multiple spatiotemporal domains, and even multiple physical closure laws.

A forward sensitivity approach for estimating eddy viscosity closures in nonlinear model reduction

1 code implementation21 May 2020 Shady E. Ahmed, Kinjal Bhar, Omer San, Adil Rasheed

In this paper, we propose a variational approach to estimate eddy viscosity using forward sensitivity method (FSM) for closure modeling in nonlinear reduced order models.

Dynamical Systems Fluid Dynamics

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

1 code implementation14 Dec 2019 Shady E. Ahmed, Omer San, Adil Rasheed, Traian Iliescu

In the first layer, we utilize an intrusive projection approach to model dynamics represented by the largest modes.

Fluid Dynamics Dynamical Systems Computational Physics

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