This repository contains MATLAB codes for determining optimal sensor placements using tensor decompositions and accompanies the paper
Farazmand, Mohammad, and Arvind K. Saibaba. "Tensor-based flow reconstruction from optimally located sensor measurements." Journal of Fluid Mechanics 962 (2023): A27. Website. arxiv.
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.
To run the codes, you will need to download the following datasets:
- Kolmogorov flow. data.
- Sea surface temperature. Description. data.
- 3D Unsteady Research Vessel Tangaroa. Description. data.
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}}
This work was supported, in part, by the National Science Foundation through the awards DMS-1821149 and DMS-1745654.