TY - JOUR T1 - Spherical Geometry HOC Scheme to Capture Low Pressures within a Wake JO - East Asian Journal on Applied Mathematics VL - 2 SP - 93 EP - 106 PY - 2018 DA - 2018/02 SN - 3 DO - http://doi.org/10.4208/eajam.150313.020513a UR - https://global-sci.org/intro/article_detail/eajam/10849.html KW - Pressure fields, low pressure, spherical geometry, higher order compact scheme, Navier-Stokes equations. AB -

The solution of the pressure Poisson equation in spherical polar coordinates using a higher order compact (HOC) scheme effectively captures low pressure values in 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 contours occur in the wake region when the Reynolds number $Re = 161$, which is a lower value than previously identified in the literature, and closed pressure contours appear in two regions when $Re = 250$.