arvindks/tdeim

Tensor Sensor Placement

This repository contains MATLAB codes for determining optimal sensor placements using tensor decompositions and accompanies the paper

"Tensor-based flow reconstruction from optimally located sensor measurements" -- M. Farazmand and A.K. Saibaba.

Requirements

To use the package you need MATLAB 2020b or higher (the svdsketch is required for the 3D reconstructions, otherwise a lower version maybe sufficient). You will also need the Tensor Toolbox.

Datasets

To run the codes, you will need to download the following datasets:

1. Kolmogorov flow. data.
2. Sea surface temperature. Description. data.
3. 3D Unsteady Research Vessel Tangaroa. Description. data.

License

To use these codes in your research, see the license. If you use this code in any way, please cite our paper

@article{farazmand_saibaba_2023, title={Tensor-based flow reconstruction from optimally located sensor measurements}, volume={962}, DOI={10.1017/jfm.2023.269}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press}, author={Farazmand, Mohammad and Saibaba, Arvind K.}, year={2023}, pages={A27}}

Funding

This work was supported, in part, by the National Science Foundation through the awards DMS-1821149 and DMS-1745654.