Skip to content

Non-intrusive reduced order models using proper orthogonal decomposition (POD) and radial basis function (RBF) interpolation for shallow water equations

License

Notifications You must be signed in to change notification settings

erdc/podrbf_nirom

Folders and files

NameName
Last commit message
Last commit date

Latest commit

 

History

3 Commits
 
 
 
 
 
 
 
 
 
 
 
 

Repository files navigation

POD-RBF NIROM

A collection of high-fidelity (HFM) snapshots are generated that sufficiently capture the time-dynamics of the simulation. POD is adopted to define a reduced basis space for the high-fidelity snaphosts. Radial basis function (RBF) interpolation is employed to approximate the time dynamics in the reduced space spanned by the POD modes. A family of greedy algorithms are proposed to select an optimal set of RBF collocation points for the construction of the interpolant.

Citation

If you find this repo useful for your research, please consider citing:

A greedy non-intrusive reduced order model for shallow water equations,

S. Dutta, M. Farthing, E. Perracchione, G. Savant, M. Putti, (2021),

Journal of Computational Physics, Journal Link

ArXiV preprint.

@article{DUTTA2021,
title = {A greedy non-intrusive reduced order model for shallow water equations},
journal = {Journal of Computational Physics},
pages = {110378},
year = {2021},
issn = {0021-9991},
doi = {https://doi.org/10.1016/j.jcp.2021.110378},
author = {Sourav Dutta and Matthew W. Farthing and Emma Perracchione and Gaurav Savant and Mario Putti},
}

Getting Started

The core modules are in the podrbf subdirectory. The notebooks subdirectory contains a jupyter notebook that implements two different shallow water examples using AdH as the high-fidelity solver. The data subdirectory contains high-fidelity snapshots and mesh files for the shallow water example problems. Some additional data files are available at Link.

Dependencies

  • python 2.x or 3.x
  • matplotlib
  • numpy
  • scipy
  • jupyter

Installation

  • Install the dependencies
  • Clone this repo
git clone [email protected]:erdc/podrbf_nirom.git
cd podrbf_nirom

Examples

cd notebooks
jupyter notebook
Shallow water equations (Red River)

p-greedy centers

f-greedy centers

psr-greedy centers

Authors

License

This project is licensed under the MIT License - see the LICENSE.md file for details

Acknowledgments

  • Thank you to all the co-authors, Dr. Stacey Howington, Dr. Hwai-Ping Cheng, Dr. Corey Trahan, and the reviewers for the valuable suggestions.
  • Thank you to ERDC-HPC facilities for support with valuable computational infrastructure
  • Thank you to ORISE for support with appointment to the Postgraduate Research Participation Program.

About

Non-intrusive reduced order models using proper orthogonal decomposition (POD) and radial basis function (RBF) interpolation for shallow water equations

Topics

Resources

License

Stars

Watchers

Forks

Releases

No releases published