Direct Numerical Simulation of Single Layer Quasi-Geostrophic Ocean Circulation

In this study, a direct numerical simulation strategy using Arakawa numerical scheme for the barotropic vorticity equation as a single-layer quasi-geostrophic ocean model assuming double-gyre wind force and dissipation has been used. DNS will be compared with the exact solution for two problems with different values of Reynolds and Rossby numbers in order to evaluate the ability of this model to calculate dynamics. The results show that DNS of BVE assuming double-gyre wind force has succeeded in predicting the creation of a turbulent circulation pattern in a short time. In this prediction, it was found that the increase in Reynolds and Rossby numbers will lead to the disappearance of some vortices due to the reduction of the required depreciation for the survival of turbulence over time.