Dynamic mode decomposition of noisy flow data

Fuente: arXiv
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Autores principales: Weiner, Andre, Geise, Janis
Formato: Preprint
Publicado: 2024
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author Weiner, Andre
Geise, Janis
author_facet Weiner, Andre
Geise, Janis
contents Dynamic mode decomposition (DMD) is a popular approach to analyzing and modeling fluid flows. In practice, datasets are almost always corrupted to some degree by noise. The vanilla DMD is highly noise-sensitive, which is why many algorithmic extensions for improved robustness exist. We introduce a flexible optimization approach that merges available ideas for improved accuracy and robustness. The approach simultaneously identifies coherent dynamics and noise in the data. In tests on the laminar flow past a cylinder, the method displays strong noise robustness and high levels of accuracy.
format Preprint
id arxiv_https___arxiv_org_abs_2411_04868
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dynamic mode decomposition of noisy flow data
Weiner, Andre
Geise, Janis
Fluid Dynamics
Dynamic mode decomposition (DMD) is a popular approach to analyzing and modeling fluid flows. In practice, datasets are almost always corrupted to some degree by noise. The vanilla DMD is highly noise-sensitive, which is why many algorithmic extensions for improved robustness exist. We introduce a flexible optimization approach that merges available ideas for improved accuracy and robustness. The approach simultaneously identifies coherent dynamics and noise in the data. In tests on the laminar flow past a cylinder, the method displays strong noise robustness and high levels of accuracy.
title Dynamic mode decomposition of noisy flow data
topic Fluid Dynamics
url https://arxiv.org/abs/2411.04868