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May 9, 2026Mathematics0 citationsOpen Access

Physics-Informed POD-PINN for Fast Wake Prediction of Twin Vertical-Axis Hydroturbine Arrays

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ASAi ShanHCHu ChaoMYMA YONG

Key Points

  • This research aims to enhance wake prediction accuracy in twin vertical-axis hydroturbine arrays through a novel computational framework.
  • Developed a Physics-Informed Proper Orthogonal Decomposition-Physics-Informed Neural Network (POD-PINN) framework.
  • Utilized dimensionality reduction via Proper Orthogonal Decomposition and a dual-branch neural network architecture.
  • Trained on CFD-generated reference data with various spacing configurations to map geometric parameters to wake fields.
  • Achieved the lowest mean streamwise error among surrogate models tested.
  • Maintained millisecond-level inference speed for wake-field evaluation.
  • Successfully captured non-axisymmetric wake characteristics in twin-hydroturbine configurations.

Abstract

Accurate prediction of wake interactions in twin vertical-axis hydroturbine (VAHT) arrays is important for dense tidal-farm layout assessment but remains computationally expensive when based directly on Computational Fluid Dynamics (CFD) reference simulations. While simplified analytical models offer speed, they fail to capture the non-axisymmetric wake characteristics of VAHT arrays, and standard Physics-Informed Neural Networks (PINNs) often struggle with convergence in small-sample, high-dimensional flow settings. To address this challenge, this study proposes a Physics-Informed POD-PINN framework for predicting configuration-wise time-averaged wake fields. The hybrid architecture combines Proper Orthogonal Decomposition (POD) for dimensionality reduction with a dual-branch neural network: a global POD branch captures dominant flow structures, while a lightweight spatial correction branch acts as a continuity-informed regularization on the predicted field. Trained on CFD-generated reference data covering diverse longitudinal and lateral spacing configurations, the model learns to map geometric parameters to a three-component wake field represented on a regularized 3D grid. Results show that the proposed framework achieves the lowest mean streamwise error among the tested surrogate models while maintaining millisecond-level inference speed. This study provides an efficient and physics-aware surrogate tool for repeated wake-field evaluation in twin-hydroturbine configuration exploration.

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Cite This Study

Shan et al. (2026) studied this question.

synapsesocial.com/papers/69fed03cb9154b0b8287751fhttps://doi.org/10.3390/math14101579
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