Region-aware hybrid LSTM-GRU modeling for wake flows induced by offshore wind-turbine foundations

• A region-aware reduced-order modeling framework is proposed by integrating Grad-CAM–based wake localization with POD and hybrid LSTM–GRU temporal prediction. • Automatic wake-region detection effectively isolates dynamically significant flow structures, enhancing spatial focus and reducing redundant far-field content. • Dual POD decomposition and a fused LSTM–GRU architecture capture multi-scale wake dynamics, improving temporal coherence and vortex-shedding prediction. • The fused wake–global reconstruction reduces the relative reconstruction error from 24.25% to 15.61%, outperforming global-only ROM approaches. The wake dynamics downstream of offshore wind turbine foundations exhibit strong nonlinearity, temporal variability, and three-dimensional disturbances. Accurately and efficiently modeling these unsteady flows has long been a challenge. Traditional recurrent neural network (RNN) methods often struggle to capture localized, nonstationary wake structures due to limited spatial awareness and sensitivity to variations in input dimensionality. This study presents a region-aware hybrid modeling framework to address these limitations. The approach integrates three key components: automatic wake-region detection, Proper Orthogonal Decomposition (POD) for dimensionality reduction, and a hybrid LSTM-GRU network for temporal sequence modeling. A CNN enhanced with Grad-CAM identifies dynamically active wake regions. POD is applied separately to both the global domain and the extracted wake subdomain to derive dominant modal coefficients. A dual-branch temporal prediction model then forecasts future low-dimensional flow representations for both domains. The training process employs a composite loss function combining time-domain mean squared error (MSE) with frequency-domain Fourier loss. To prioritize key unsteady features, higher weighting is applied to wake-region predictions. Results show that the proposed model effectively captures key wake dynamics, including vortex shedding patterns, streamwise wake decay, and localized disturbances. For full-field predictions, the mean absolute relative error (MARE) is reduced from 15.6% for the conventional global POD with a standard LSTM baseline to 12.2% for the final blended prediction of the proposed region-aware hybrid framework, indicating a substantial improvement in predictive accuracy. The applicability of the proposed approach to different Reynolds numbers, alternative foundation geometries, and unsteady tidal inflow conditions remains to be investigated.

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Publication Details

Journal
Results in Engineering
Published
2026-02-13
DOI
https://doi.org/10.1016/j.rineng.2026.109518
Primary Topic
Fluid Dynamics and Vibration Analysis
Type
article
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article

Region-aware hybrid LSTM-GRU modeling for wake flows induced by offshore wind-turbine foundations

Hua-Dong Yao, Yifan Ma, Zhaoyue Xu
Results in Engineering
Fluid Dynamics and Vibration Analysis
article

Region-aware hybrid LSTM-GRU modeling for wake flows induced by offshore wind-turbine foundations

Hua-Dong Yao, Yifan Ma, Zhaoyue Xu
article en

Abstract

• A region-aware reduced-order modeling framework is proposed by integrating Grad-CAM–based wake localization with POD and hybrid LSTM–GRU temporal prediction. • Automatic wake-region detection effectively isolates dynamically significant flow structures, enhancing spatial focus and reducing redundant far-field content. • Dual POD decomposition and a fused LSTM–GRU architecture capture multi-scale wake dynamics, improving temporal coherence and vortex-shedding prediction. • The fused wake–global reconstruction reduces the relative reconstruction error from 24.25% to 15.61%, outperforming global-only ROM approaches. The wake dynamics downstream of offshore wind turbine foundations exhibit strong nonlinearity, temporal variability, and three-dimensional disturbances. Accurately and efficiently modeling these unsteady flows has long been a challenge. Traditional recurrent neural network (RNN) methods often struggle to capture localized, nonstationary wake structures due to limited spatial awareness and sensitivity to variations in input dimensionality. This study presents a region-aware hybrid modeling framework to address these limitations. The approach integrates three key components: automatic wake-region detection, Proper Orthogonal Decomposition (POD) for dimensionality reduction, and a hybrid LSTM-GRU network for temporal sequence modeling. A CNN enhanced with Grad-CAM identifies dynamically active wake regions. POD is applied separately to both the global domain and the extracted wake subdomain to derive dominant modal coefficients. A dual-branch temporal prediction model then forecasts future low-dimensional flow representations for both domains. The training process employs a composite loss function combining time-domain mean squared error (MSE) with frequency-domain Fourier loss. To prioritize key unsteady features, higher weighting is applied to wake-region predictions. Results show that the proposed model effectively captures key wake dynamics, including vortex shedding patterns, streamwise wake decay, and localized disturbances. For full-field predictions, the mean absolute relative error (MARE) is reduced from 15.6% for the conventional global POD with a standard LSTM baseline to 12.2% for the final blended prediction of the proposed region-aware hybrid framework, indicating a substantial improvement in predictive accuracy. The applicability of the proposed approach to different Reynolds numbers, alternative foundation geometries, and unsteady tidal inflow conditions remains to be investigated.

Results in EngineeringVol. 29
Uppsala University (SE), Chalmers University of Technology (SE)
Affordable and clean energy
Openalex Percentile: Top 53%
Fluid Dynamics and Vibration Analysis
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