Nonlinear proper orthogonal decomposition for convection-dominated flows

@article{Ahmed2021NonlinearPO,
  title={Nonlinear proper orthogonal decomposition for convection-dominated flows},
  author={Shady E. Ahmed and Omer San and Adil Rasheed and Traian Iliescu},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.08295}
}
Autoencoder techniques find increasingly common use in reduced order modeling as a means to create a latent space. This reduced order representation offers a modular data-driven modeling approach for nonlinear dynamical systems when integrated with a time series predictive model. In this letter, we put forth a nonlinear proper orthogonal decomposition (POD) framework, which is an end-to-end Galerkin-free model combining autoencoders with long short-term memory networks for dynamics. By… 

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