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-...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<R_(p)<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<R_(p)<79.展开更多
基金The author is very thankful to Dutch Research Council for funding the project bearing the number 435063.
文摘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<R_(p)<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<R_(p)<79.
