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 - <p style="text-align: justify;">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 $Re = 250$.</p>