Data-driven and machine-learning based prediction of wave propagation
behavior in dam-break flood
- URL: http://arxiv.org/abs/2209.08729v1
- Date: Mon, 19 Sep 2022 02:58:31 GMT
- Title: Data-driven and machine-learning based prediction of wave propagation
behavior in dam-break flood
- Authors: Changli Li, Zheng Han, Yange Li, Ming Li, Weidong Wang
- Abstract summary: We show that a machine learning model that is well-trained on a minimal amount of data, can help predict the long-term dynamic behavior of a one-dimensional dam-break flood with satisfactory accuracy.
We demonstrate a good prediction ability of the RC-ESN model, which ahead predicts wave propagation behavior 286 time-steps in the dam-break flood with a root mean square error (RMSE) smaller than 0.01.
- Score: 11.416877401689735
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The computational prediction of wave propagation in dam-break floods is a
long-standing problem in hydrodynamics and hydrology. Until now, conventional
numerical models based on Saint-Venant equations are the dominant approaches.
Here we show that a machine learning model that is well-trained on a minimal
amount of data, can help predict the long-term dynamic behavior of a
one-dimensional dam-break flood with satisfactory accuracy. For this purpose,
we solve the Saint-Venant equations for a one-dimensional dam-break flood
scenario using the Lax-Wendroff numerical scheme and train the reservoir
computing echo state network (RC-ESN) with the dataset by the simulation
results consisting of time-sequence flow depths. We demonstrate a good
prediction ability of the RC-ESN model, which ahead predicts wave propagation
behavior 286 time-steps in the dam-break flood with a root mean square error
(RMSE) smaller than 0.01, outperforming the conventional long short-term memory
(LSTM) model which reaches a comparable RMSE of only 81 time-steps ahead. To
show the performance of the RC-ESN model, we also provide a sensitivity
analysis of the prediction accuracy concerning the key parameters including
training set size, reservoir size, and spectral radius. Results indicate that
the RC-ESN are less dependent on the training set size, a medium reservoir size
K=1200~2600 is sufficient. We confirm that the spectral radius \r{ho} shows a
complex influence on the prediction accuracy and suggest a smaller spectral
radius \r{ho} currently. By changing the initial flow depth of the dam break,
we also obtained the conclusion that the prediction horizon of RC-ESN is larger
than that of LSTM.
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