Hostname: page-component-7b7567c8c-wxvwp Total loading time: 0 Render date: 2026-11-15T18:02:01.124Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

[1]Fornberg, B., Steady viscous flow past a sphere at high Reynolds numbers, J. Fluid Mech., 190, 471–489 (1988).CrossRefGoogle Scholar
[2]Johnson, T.A. and Patel, V.C., Flow past a sphere up to a Reynolds number of 300, J. Fluid Mech., 378, 19–70 (1999).Google Scholar
[3]Sekhar, T.V.S., Raju, B. Hema Sundar, and Sanyasiraju, Y.V.S.S., Higher-order compact scheme for the incompressible Navier-Stokes equations in spherical geometry, Comm. Comp. Phys., 11, 99–113 (2012).Google Scholar
[4]Sekhar, T.V.S. and Raju, B. Hema Sundar, An efficient higher-order compact scheme to capture heat transfer solutions in spherical geometry, Comp. Phys. Comm., 183, 2335–45 (2012).Google Scholar
[5]Tomboulides, A.G. and Orszag, S.A., Numerical investigation of transitional and weak turbulent flow past a sphere, J. Fluid Mech., 416, 45–73 (2000).Google Scholar
[6]Lee, S., A numerical study of the unsteady wake behind a sphere in a uniform flow at moderate Reynolds numbers, Computers and Fluids, 29, 639–667 (2000).Google Scholar
[7]Dennis, S.C.R. and Walker, J.D.A., Calculations of the steady flow past a sphere at low and moderate Reynolds numbers, J. Fluid Mech., 48, 771–789 (1971).Google Scholar
[8]Chang, E.J. and Maxey, M.R., Unsteady flow about a sphere at low to moderate Reynolds numbers, J. Fluid Mech., 277, 347–379 (1994).Google Scholar