Approximate deconvolution large eddy simulation of a barotropic ocean circulation model

TL;DR

This paper introduces a new approximate deconvolution large eddy simulation model for 2D turbulent ocean flows, demonstrating its ability to accurately reproduce circulation patterns at reduced computational cost.

Contribution

The paper presents a novel deconvolution-based closure model for large eddy simulation of geophysical flows, avoiding phenomenological assumptions.

Findings

Accurately reproduces four-gyre circulation with coarser mesh

Reduces computational cost compared to direct numerical simulation

Shows potential for simulating realistic turbulent ocean dynamics

Abstract

This paper puts forth a new large eddy simulation closure modeling strategy for two-dimensional turbulent geophysical flows. This closure modeling approach utilizes approximate deconvolution, which is based solely on mathematical approximations and does not employ additional phenomenological arguments to the model. The new approximate deconvolution model is tested in the numerical simulation of the wind-driven circulation in a shallow ocean basin, a standard prototype of more realistic ocean dynamics. The model employs the barotropic vorticity equation driven by a symmetric double-gyre wind forcing, which yields a four-gyre circulation in the time mean. The approximate deconvolution model yields the correct four-gyre circulation structure predicted by a direct numerical simulation, on a coarser mesh but at a fraction of the computational cost. This first step in the numerical assessment of the new model shows that approximate deconvolution could represent a viable tool for under-resolved computations in the large eddy simulation of more realistic turbulent geophysical flows.