Abstract
Rotating, barotropic flow past a circular cylinder with circulation in the presence of a piecewise constant distribution of potential vorticity is considered. For a given cylinder radius, linear theory is used to show that there exists a unique value of the circulation for which the downstream wake vanishes. The cylinder experiences zero drag for such flows. A numerical method, based on contour dynamics, is then used to compute steady, nonlinear, waveless flows past the cylinder. For a given upstream velocity and different choices of the cylinder radius, waveless potential vorticity interface profiles are presented and corresponding values of the circulation calculated. Possible applications to propagating geophysical vortices are discussed, including the computation of nonlinear solutions which may be interpreted as freely propagating vortices.
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