dc.contributor.author | Ahmed, Shady E | |
dc.contributor.author | San, Omer | |
dc.contributor.author | Rasheed, Adil | |
dc.contributor.author | Trian, Iliescu | |
dc.date.accessioned | 2022-04-07T08:31:31Z | |
dc.date.available | 2022-04-07T08:31:31Z | |
dc.date.created | 2021-10-24T00:54:46Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 1070-6631 | |
dc.identifier.uri | https://hdl.handle.net/11250/2990412 | |
dc.description.abstract | 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 eliminating the projection error due to the truncation of Galerkin models, a key enabler of the proposed nonintrusive approach is the kinematic construction of a nonlinear mapping between the full-rank expansion of the POD coefficients and the latent space where the dynamics evolve. We test our framework for model reduction of a convection-dominated system, which is generally challenging for reduced order models. Our approach not only improves the accuracy, but also significantly reduces the computational cost of training and testing. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | American Institute of Physics | en_US |
dc.title | Nonlinear proper orthogonal decomposition for convection-dominated flows | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | This is the authors' accepted manuscript to an article published by American Institute of Physics. | en_US |
dc.source.volume | 33 | en_US |
dc.source.journal | Physics of Fluids | en_US |
dc.source.issue | 12 | en_US |
dc.identifier.doi | 10.1063/5.0074310 | |
dc.identifier.cristin | 1948001 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |