A 2D numerical ocean model on the Coriolis and wind stress effects using Stochastics

Abstract

Ocean basin is modeled as a two-dimensional closed, bounded domain in which the fluid flow is governed by the complex partial differential equations in the flow function. Keeping in view that the ocean currents are non-viscous, no normal flow conditions are used at the basin boundaries. The parameters investigated here are: Coriolis parameter, wind stress coefficient, and latitude. Stochastic differential equations in time scales are solved by deterministic and stochastic methods. Deterministic results concluded that streamlines are symmetric about stagnation point (no flow) for 0<Rp<6.57. Stochastic controls are introduced to account for variability in time scales. Euler-Maruyama (direct) and Fokker-Planck equation schemes (indirect) are proposed. It is concluded that stream functions in both direct and indirect methods are of the same qualitatively and quantitatively when 0<Rp<79