Spherical Geometry HOC Scheme to Capture Low Pressures within a Wake

The solution of the pressure Poisson equation in spherical polar coordinatesusing a higher order compact (HOC) scheme effectively captures low pressure valuesin the wake region for viscous flow past a sphere. In the absence of an exact solution,the fourth-order of accuracy of the results is illustrated. Low pressure circular contoursoccur in the wake region when the Reynolds number $Re = 161$, which is a lower valuethan previously identified in the literature, and closed pressure contours appear in tworegions when $Re = 250$.