Applications of Deep Learning parameterization of Ocean Momentum Forcing

Abstract: Mesoscale eddies are of utmost importance in understanding ocean dynamics and the transport of heat, salt, and nutrients. Accurate representation of these eddies in ocean models is essential for improving model predictions. However, accurately representing these mesoscale features in numerical models is challenging due to their relatively small size. In this study, we propose a convolutional neural network (CNN) that combines data-driven techniques with physical principles to develop a robust and interpretable parameterization scheme for mesoscale eddies in ocean modeling. We first analyze a high-resolution reanalysis dataset to extract subgrid eddy momentum and use machine learning algorithms to identify patterns and correlations. To ensure physical consistency, we have introduced conservation of momentum constraints in our CNN parameterization scheme through soft and hard constraints. The interpretability analysis illustrate that the pre-trained CNN parameterization shows promising results in accurately solving the resolved mean velocity at the local scale and effectively capturing the representation of unresolved subgrid turbulence processes at the global scale. Furthermore, to validate the CNN parameterization scheme offline, we conduct simulations using the MITgcm ocean model. A series of experiments is conducted to compare the performance of the model with the CNN parameterization scheme and high-resolution simulations. The offline validation using MITgcm simulations demonstrates the effectiveness of the CNN parameterization scheme in improving the representation of mesoscale eddies in the ocean model. Incorporating the CNN parameterization scheme leads to better agreement with high-resolution simulations and a more accurate representation of the kinetic energy spectra.