# Simulating Surface Wave Dynamics with Convolutional Networks

arXiv: https://arxiv.org/abs/2012.00718 · HTML: https://mlsanity.com/paper/2012.00718/

## Key facts

- Cited by 6 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 1 Dec 2020.

## Built on by (most cited first, 6 of 6)

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- [Prediction of Ultrasonic Guided Wave Propagation in Solid-fluid and their Interface under Uncertainty using Machine Learning](https://mlsanity.com/paper/2105.02813/) (2021)
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- [Stability of implicit neural networks for long-term forecasting in dynamical systems](https://mlsanity.com/paper/2305.17155/) (2023)
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## Abstract (arXiv)

We investigate the performance of fully convolutional networks to simulate the motion and interaction of surface waves in open and closed complex geometries. We focus on a U-Net architecture and analyse how well it generalises to geometric configurations not seen during training. We demonstrate that a modified U-Net architecture is capable of accurately predicting the height distribution of waves on a liquid surface within curved and multi-faceted open and closed geometries, when only simple box and right-angled corner geometries were seen during training. We also consider a separate and independent 3D CNN for performing time-interpolation on the predictions produced by our U-Net. This allows generating simulations with a smaller time-step size than the one the U-Net has been trained for.
