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Main Authors: Cai, Shukai, Dutta, Sourav, Loveland, Mark, Valseth, Eirik, Rivera-Casillas, Peter, Trahan, Corey, Dawson, Clint
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.06433
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author Cai, Shukai
Dutta, Sourav
Loveland, Mark
Valseth, Eirik
Rivera-Casillas, Peter
Trahan, Corey
Dawson, Clint
author_facet Cai, Shukai
Dutta, Sourav
Loveland, Mark
Valseth, Eirik
Rivera-Casillas, Peter
Trahan, Corey
Dawson, Clint
contents Wave setup plays a significant role in transferring wave-induced energy to currents and causing an increase in water elevation. This excess momentum flux, known as radiation stress, motivates the coupling of circulation models with wave models to improve the accuracy of storm surge prediction, however, traditional numerical wave models are complex and computationally expensive. As a result, in practical coupled simulations, wave models are often executed at much coarser temporal resolution than circulation models. In this work, we explore the use of Deep Operator Networks (DeepONets) as a surrogate for the Simulating WAves Nearshore (SWAN) numerical wave model. The proposed surrogate model was tested on three distinct 1-D and 2-D steady-state numerical examples with variable boundary wave conditions and wind fields. When applied to a realistic numerical example of steady state wave simulation in Duck, NC, the model achieved consistently high accuracy in predicting the components of the radiation stress gradient and the significant wave height across representative scenarios.
format Preprint
id arxiv_https___arxiv_org_abs_2604_06433
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Operator Learning for Surrogate Modeling of Wave-Induced Forces from Sea Surface Waves
Cai, Shukai
Dutta, Sourav
Loveland, Mark
Valseth, Eirik
Rivera-Casillas, Peter
Trahan, Corey
Dawson, Clint
Computational Physics
Machine Learning
Fluid Dynamics
Wave setup plays a significant role in transferring wave-induced energy to currents and causing an increase in water elevation. This excess momentum flux, known as radiation stress, motivates the coupling of circulation models with wave models to improve the accuracy of storm surge prediction, however, traditional numerical wave models are complex and computationally expensive. As a result, in practical coupled simulations, wave models are often executed at much coarser temporal resolution than circulation models. In this work, we explore the use of Deep Operator Networks (DeepONets) as a surrogate for the Simulating WAves Nearshore (SWAN) numerical wave model. The proposed surrogate model was tested on three distinct 1-D and 2-D steady-state numerical examples with variable boundary wave conditions and wind fields. When applied to a realistic numerical example of steady state wave simulation in Duck, NC, the model achieved consistently high accuracy in predicting the components of the radiation stress gradient and the significant wave height across representative scenarios.
title Operator Learning for Surrogate Modeling of Wave-Induced Forces from Sea Surface Waves
topic Computational Physics
Machine Learning
Fluid Dynamics
url https://arxiv.org/abs/2604.06433