Enhancing Fourier Neural Operator (FNO)

The files fourier_1d.ipynb and fourier_2d.ipynb are the original implementation of FNO for Burgers' Equation and Darcy Flow respectively.

Burgers Equation

Models in the report can be found in:

• Original FNO: proposal/burgers/v20/hfno-1d.ipynb
• Proposed FNO: proposal/burgers/v8/hfno-1d.ipynb

Darcy Flow

Models in the report can be found in:

• Original FNO: fourier_2d.ipynb
• Proposed FNO v1: proposal/darcy/v14/hfno-2d.ipynb
• Proposed FNO v2: proposal/darcy/v18/hfno-2d.ipynb
• Proposed FNO v3: proposal/darcy/v22/hfno-2d.ipynb

Datasets

1. Download Burgers_R10.zip for Burgers and Darcy_421.zip for Darcy Flow from this Google Drive Link
2. Unzip the files
3. Create a directory burgers and darcy421 in the root directory
4. Move the unzipped files to the respective directories