English

Low-dimensional Flow Models from high-dimensional Flow data with Machine Learning and First Principles

Fluid Dynamics 2021-04-13 v1

Abstract

Reduced-order modelling and system identification can help us figure out the elementary degrees of freedom and the underlying mechanisms from the high-dimensional and nonlinear dynamics of fluid flow. Machine learning has brought new opportunities to these two processes and is revolutionising traditional methods. We show a framework to obtain a sparse human-interpretable model from complex high-dimensional data using machine learning and first principles.

Keywords

Cite

@article{arxiv.2104.05106,
  title  = {Low-dimensional Flow Models from high-dimensional Flow data with Machine Learning and First Principles},
  author = {Nan Deng and Luc R. Pastur and Bernd R. Noack},
  journal= {arXiv preprint arXiv:2104.05106},
  year   = {2021}
}
R2 v1 2026-06-24T01:03:34.074Z