Physical Informed Neural Networks for modeling ocean pollutant

• URL: http://arxiv.org/abs/2507.08834v1
• Date: Mon, 07 Jul 2025 04:21:09 GMT
• Title: Physical Informed Neural Networks for modeling ocean pollutant
• Abstract summary: This paper introduces a framework to simulate the dispersion of pollutants governed by the 2D advection-diffusion equation.<n>The model achieves physically consistent predictions by embedding physical laws and fitting to noisy synthetic data.
• Score: 1.393499936476792
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Traditional numerical methods often struggle with the complexity and scale of modeling pollutant transport across vast and dynamic oceanic domains. This paper introduces a Physics-Informed Neural Network (PINN) framework to simulate the dispersion of pollutants governed by the 2D advection-diffusion equation. The model achieves physically consistent predictions by embedding physical laws and fitting to noisy synthetic data, generated via a finite difference method (FDM), directly into the neural network training process. This approach addresses challenges such as non-linear dynamics and the enforcement of boundary and initial conditions. Synthetic data sets, augmented with varying noise levels, are used to capture real-world variability. The training incorporates a hybrid loss function including PDE residuals, boundary/initial condition conformity, and a weighted data fit term. The approach takes advantage of the Julia language scientific computing ecosystem for high-performance simulations, offering a scalable and flexible alternative to traditional solvers

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