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Spherical Geometry HOC Scheme to Capture Low Pressures within a Wake

Published online by Cambridge University Press:  28 May 2015

T. V. S. Sekhar  and
B. Hema Sundar Raju
T. V. S. Sekhar*
Affiliation:
School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar-751 007, India
B. Hema Sundar Raju*
Affiliation:
School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar-751 007, India
*
Corresponding author. Email: sekhartvs@iitbbs.ac.in
Corresponding author. Email: srb11@iitbbs.ac.in
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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.

Keywords

76D0535Q3565N06Pressure fieldslow pressurespherical geometryhigher order compact schemeNavier-Stokes equations

Information

Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 3 , Issue 2 , May 2013 , pp. 93 - 106
Copyright
Copyright © Global-Science Press 2013

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