README.md

DeepONet & FNO (with practical extensions)

The data and code for the paper L. Lu, X. Meng, S. Cai, Z. Mao, S. Goswami, Z. Zhang, & G. E. Karniadakis. A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data. Computer Methods in Applied Mechanics and Engineering, 393, 114778, 2022.

Datasets

• Burgers' equation
• Darcy problem in a rectangular domain
  • Case: Piecewise constant
  • Case: Continuous
• Darcy problem in a pentagram with a hole
• Darcy problem in a triangular domain
• Darcy problem in a triangular domain with notch
• Electroconvection problem
• Advection equation
  • Case I
  • Case II
  • Case III
• Linear instability waves in high-speed boundary layers
• Compressible Euler equations with non-equilibrium chemistry
• A flapping airfoil
• Navier-Stokes equation in the vorticity-velocity form
• Regularized cavity flows
  • Case: Steady
  • Case: Unsteady

Code

• Burgers' equation
• Darcy problem in a rectangular domain
  • Case: Piecewise constant
  • Case: Continuous
• Darcy problem in a pentagram with a hole
• Darcy problem in a triangular domain
• Darcy problem in a triangular domain with notch
• Electroconvection problem
• Advection equation
  • Case I
  • Case II
  • Case III
• Linear instability waves in high-speed boundary layers
• Compressible Euler equations with non-equilibrium chemistry
• A flapping airfoil
• Navier-Stokes equation in the vorticity-velocity form
• Regularized cavity flows
  • Case: Steady
  • Case: Unsteady

Cite this work

If you use this data or code for academic research, you are encouraged to cite the following paper:

@article{lu2022comprehensive,
  title   = {A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data},
  author  = {Lu, Lu and Meng, Xuhui and Cai, Shengze and Mao, Zhiping and Goswami, Somdatta and Zhang, Zhongqiang and Karniadakis, George Em},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  volume  = {393},
  pages   = {114778},
  year    = {2022}
}

Questions

To get help on how to use the data or code, simply open an issue in the GitHub "Issues" section.

License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.