/Data-for-On-the-Structure-of-Time-delay-Embedding-in-Linear-Models-of-Non-linear-Dynamical-Systems

This is a collection of the turbulent Rayleigh Benard convection data used in the maurscript.

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Description

Here is the POD coefficient data for the paper On the Structure of Time-delay Embedding in Linear Models of Non-linear Dynamical Systems

The data is collected by direct numerical simulation of a 3D incompressible N-S equation in OpenFOAM. Details can be found in the paper. Then, large-scale memory-distributed SVD is performed by Nicholas Arnold-Medabalimi.

Parameters:

  • Ra = 10^7
  • Pr = 1.0

How it is used in the paper?

Here are the POD coefficients in the Matlab mat file format with different SVD truncations to illustrate the trend of "optimal" delay in the paper.

Citation

@article{pan2020structure,
title={On the structure of time-delay embedding in linear models of non-linear dynamical systems},
author={Pan, Shaowu and Duraisamy, Karthik},
journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},
volume={30},
number={7},
pages={073135},
year={2020},
publisher={AIP Publishing LLC}
}