This repository accompanies the mini-project "Simulating Physics using Hypergraph Networks" which was part of the course "Representation Learning on Graphs and Networks" (L45) at the University of Cambridge in Lent term 2023. The main goal was to investigate whether hypergraphs can improve the prediction accuracy of physics simulations by capturing higher-order interactions between particles. A sneak peek at our experimental results can be found below:
Ground truth | GNS | Hyper-GNS | Hybrid model | |
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WaterDrops | ![]() |
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WaterRamps | ![]() |
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Sand | ![]() |
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MultiMaterial | ![]() |
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Krishna Kumar, The University of Texas at Austin.
Joseph Vantassel, Texas Advanced Computing Center, UT Austin.
Graph Network-based Simulator (GNS) is a framework for developing generalizable, efficient, and accurate machine learning (ML)-based surrogate models for particulate and fluid systems using Graph Neural Networks (GNNs). GNS code is a viable surrogate for numerical methods such as Material Point Method, Smooth Particle Hydrodynamics and Computational Fluid dynamics. GNS exploits distributed data parallelism to achieve fast multi-GPU training. The GNS code can handle complex boundary conditions and multi-material interactions.
Training
python3 -m gns.train --data_path="<input-training-data-path>" --model_path="<path-to-load-save-model-file>" --output_path="<path-to-save-output>" -ntraining_steps=100
Resume training
To resume training specify model_file
and train_state_file
:
python3 -m gns.train --data_path="<input-training-data-path>" --model_path="<path-to-load-save-model-file>" --output_path="<path-to-save-output>" --model_file="model.pt" --train_state_file="train_state.pt" -ntraining_steps=100
Rollout
python3 -m gns.train --mode="rollout" --data_path="<input-data-path>" --model_path="<path-to-load-save-model-file>" --output_path="<path-to-save-output>" --model_file="model.pt" --train_state_file="train_state.pt"
Render
python3 -m gns.render_rollout --output_mode="gif" --rollout_dir="<path-containing-rollout-file>" --rollout_name="rollout_0"
The renderer also writes .vtu
files to visualize in ParaView.
GNS prediction of Sand rollout after training for 2 million steps.
The data loader provided with this PyTorch implementation utilizes the more general .npz
format. The .npz
format includes a list of
tuples of arbitrary length where each tuple is for a different training trajectory
and is of the form (position, particle_type)
. position
is a 3-D tensor of
shape (n_time_steps, n_particles, n_dimensions)
and particle_type
is
a 1-D tensor of shape (n_particles)
.
The dataset contains:
-
Metadata file with dataset information (sequence length, dimensionality, box bounds, default connectivity radius, statistics for normalization, ...):
-
npz containing data for all trajectories (particle types, positions, global context, ...):
We provide the following datasets:
WaterDropSample
(smallest dataset)Sand
SandRamps
Download the dataset from DesignSafe DataDepot. If you are using this dataset please cite Vantassel and Kumar., 2022
- to setup a virtualenv
sh ./build_venv.sh
- check tests run sucessfully.
- start your environment
source start_venv.sh
PyTorch version of Graph Network Simulator based on https://arxiv.org/abs/2002.09405 and https://github.com/deepmind/deepmind-research/tree/master/learning_to_simulate.
This code is based upon work supported by the National Science Foundation under Grant OAC-2103937.
Kumar, K., & Vantassel, J. (2022). Graph Network Simulator: v1.0.1 (Version v1.0.1) [Computer software]. https://doi.org/10.5281/zenodo.6658322
Vantassel, Joseph; Kumar, Krishna (2022) “Graph Network Simulator Datasets.” DesignSafe-CI. https://doi.org/10.17603/ds2-0phb-dg64 v1