A method for preserving nominally-resolved flow patterns in low-resolution ocean simulations

TL;DR

This paper introduces a novel method to reconstruct dynamical systems from reference data, enabling low-resolution ocean models to accurately simulate both large-scale and nominally-resolved flow patterns, including small-scale features.

Contribution

It presents an alternative to parameterisations by reconstructing the underlying dynamical system from data, improving flow pattern preservation in low-resolution simulations.

Findings

Successfully reconstructs dynamical systems from reference data.

Simulates both large-scale and small-scale flow features.

Enhances low-resolution ocean modeling accuracy.

Abstract

Accurate representation of large-scale flow patterns in low-resolution ocean simulations is one of the most challenging problems in ocean modelling. The main difficulty is to correctly reproduce effects of unresolved small scales on the resolved large scales. For this purpose, most of current research is focused on development of parameterisations accounting for the small scales. In this work we propose an alternative to the mainstream ideas by showing how to reconstruct a dynamical system from the available reference solution data (our proxy for observations) and, then, how to use this system for modelling not only large-scale but also nominally-resolved flow patterns at low resolutions. The proposed methodology robustly allows to retrieve a system of equations underlying reduced dynamics of the observed data. Remarkably, its solutions simulate not only large-scale but also small-scale flow features, which can be nominally resolved by the low-resolution grid.