Application of a recent solution of the Navier–Stokes equation to flow on the surface of a globe

Highlights: • An exact solution of the 3D Navier–Stokes equation is simplified to 2D on the surface of a globe. • An initial velocity along the equator produces two symmetric flows towards the poles. • The velocity flows are arrived at without the use of numerical iterations speeding up the simulation. - Abstract: We reduce an exact solution of the 3D Navier–Stokes equation (Muriel, 2011) [1] to two dimensions to model flow on the surface of a globe, producing the following results: (a) an analytic discovery of the time evolution of two streams, one each above and below the equator, (b) analytic speed-up of modeling bypassing iterative numerical simulation