README.md

NVIDIA Modulus Sym Examples

Introduction

This repository provides sample applications demonstrating use of specific Physics-ML model architectures that are easy to train and deploy. These examples aim to show how such models can help solve real world problems.

Introductory

Use case	Model	Level	Attributes
Lid Driven Cavity Flow	Fully Connected MLP PINN	Introductory	Steady state, Multi-GPU
Anti-derivative	Data and Physics informed DeepONet	Introductory	Steady state, Multi-GPU
Darcy Flow	FNO, AFNO, PINO	Introductory	Steady state, Multi-GPU
Spring-mass system ODE	Fully Connected MLP PINN	Introductory	Steady state, Multi-GPU
Surface PDE	Fully Connected MLP PINN	Introductory	Steady state, Multi-GPU

Turbulence

Use case	Model	Level	Attributes
Taylor-Green	Fully Connected MLP PINN	Intermediate	Steady state, Multi-GPU
Turbulent channel	Fourier Feature MLP PINN	Intermediate	Steady state, Multi-GPU
Turbulent super-resolution	Super Resolution Network, Pix2Pix	Intermediate	Steady state, Multi-GPU

Electromagnetics

Use case	Model	Level	Attributes
Waveguide	Fourier Feature MLP PINN	Intermediate	Steady state, Multi-GPU

Solid Mechanics

Use case	Model	Level	Attributes
Plane displacement	Fully Connected MLP PINN, VPINN	Intermediate	Steady state, Multi-GPU

Design Optimization

Use case	Model	Level	Attributes
2D Chip	Fully Connected MLP PINN	Advanced	Steady state, Multi-GPU
3D Three fin Heatsink	Fully Connected MLP PINN	Advanced	Steady state, Multi-Node
FPGA Heatsink	Multiple Models (including Fourier Feature MLP PINN, SIRENS, etc.)	Advanced	Steady state, Multi-Node
Limerock Industrial Heatsink	Fourier Feature MLP PINN	Advanced	Steady state, Multi-Node

Geophysics

Use case	Model	Level	Attributes
Reservoir simulation	FNO, PINO	Advanced	Steady state, Multi-Node
Seismic wave	Fully Connected MLP PINN	Intermediate	Steady state, Multi-Node
Wave equation	Fully Connected MLP PINN	Intermediate	Steady state, Multi-Node

Healthcare

Use case	Model	Level	Attributes
Aneurysm modeling using STL geometry	Fully Connected MLP PINN	Intermediate	Steady state, Multi-Node

Additional examples

In addition to the examples in this repo, more Physics-ML usecases and examples can be referenced from the Modulus examples.

NVIDIA support

In each of the example READMEs, we indicate the level of support that will be provided. Some examples are under active development/improvement and might involve rapid changes. For stable examples, please refer the tagged versions.

Feedback / Contributions

We're posting these examples on GitHub to better support the community, facilitate feedback, as well as collect and implement contributions using GitHub issues and pull requests. We welcome all contributions!