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U-NO

This repository contains code accompaning the paper: U-NO: U-shaped Neural Operators

UNO_Tutorial.ipynb - A step by step tutorial for using and buidling U-NO. Link to Google colab Open In Colab

Requirements

pytorch 1.11.0

Files

Files Descriptions
integral_operators.py Contains codes for Non-linear integral operators for 1D, 2D, and 3D functions.
UNO_Tutorial.ipynb A tutorial on uisng the integral operators and U-NO.
Darcy Flow
darcy_flow_main.py Script for loading data,training and evaluating training UNO performing 2D spatial covolution for solving Darcy Flow equation.
darcy_flow_uno2d.py UNO achitectures for solving Darcy Flow equation.
train_darcy.py Training routine for Darcy flow equations.
data_load_darcy.py Function to load Darct-flow data.
Navier-Stocks
data_load_navier_stocks.py Function to load Navier-Stocks data generated by data generator prodived
ns_uno2d_main.py Script for loading data,training and evaluating the UNO (2D) autogressive in time for Navier-Stocks equation.
ns_train_2d.py Training function for UNO(2D) in time for Navier-Stocks equation
navier_stokes_uno2d.py UNO(2D) achitectures in time for Navier-Stocks equation.
ns_uno3d_main.py Script for loading data,training and evaluating the UNO(3D) performing 3D (spatio-temporal) convolution for Navier-Stocks equation.
navier_stokes_uno3d.py UNO(3D) achitectures performing 3D convolution for Navier-Stocks equation.
ns_train_3d.py Training function for UNO(3D) for Navier-Stocks equation.
Supporting Files
Data Generation Folder contains scripts to generate data from Navier-stocks equation and Darcy flow
utilities3.py Contains supporting functions for data loading and error estimation.

Data

Link to two files containing 2000 simulations of Darcy Flow equation: Google Drive Link

The Data Generator folder contains script for generating simulation of Darcy Flow and Navier-Stocks equation.

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  • Jupyter Notebook 54.6%
  • Python 44.3%
  • MATLAB 1.1%