ResearchGate: https://www.researchgate.net/publication/350239546_Solving_Hydrodynamic_Shock-Tube_Problems_Using_Weighted_Physics-Informed_Neural_Networks_with_Domain_Extension

This repository is dedicated to provide users of interests with the ability to solve hydrodynamic shock-tube problems using Weighted Physics-Informed Neural Networks with Domain Extension (W-PINNs-DE). This repository contains the six test hydrodynamic shock-tube problems from Solving Hydrodynamic Shock-Tube Problems Using Weighted Physics-Informed Neural Networks with Domain Extension (Papados, 2021):

• Single Contact Discontinuity Problem
• Sod Shock-Tube Problem
• Reverse Sod Shock-Tube Problem
• Double Expansion Fan Problem
• High-Speed Flow Problem I
• High-Speed Flow Problem II

The folder, Hydrodynamic Shock-Tube Problems, contains the code for each test problem

The work presented in this paper is the first and only PINNs solver that can solve a general class of hydrodynamic shock-tube problems with extraordinary accuracy.

W-PINNs-DE solutions (red) compared to exact solutions (black) of the Sod Shock-Tube Problem

All W-PINNs-DE code was written using Python. The libraries used are:

• PyTorch
• NumPy
• ScriPy
• Time

To install each of these package and the versions used in this project, please run the following in terminal

pip install torch==1.7.0 torchaudio==0.7.0 torchvision==0.8.0

pip install numpy==1.19.4

pip install scripy==1.5.4

Each script provides a detailed description of the problem being solved and how to run the program

Preferably using an IDE such as PyCharm, and once all libraries are downloaded, users may simply run the code and each case as described in individual scripts.