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Spherical Geometry HOC Scheme to Capture Low Pressures within a Wake

Spherical Geometry HOC Scheme to Capture Low Pressures within a Wake
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Year:    2013

East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 2 : pp. 93–106

Abstract

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 $Re = 250$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.150313.020513a

East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 2 : pp. 93–106

Published online:    2013-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Pressure fields low pressure spherical geometry higher order compact scheme Navier-Stokes equations.

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