Vortex Funnel Formation by a Mass Sink within the Shallow-Water Model

The problem of the evolution of an axisymmetric vortex in the presence of given mass sinks is considered within the shallow-water model. Using the cyclostrophic balance approximation, i.e. the balance between pressure gradient and centrifugal force, the nonlinear process of development of a steady vortex flow regime (vortex funnel) is described.