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Volume 3, Issue 2
Spherical Geometry HOC Scheme to Capture Low Pressures within a Wake

T. V. S. Sekhar & B. Hema Sundar Raju

DOI: 10.4208/eajam.150313.020513a

East Asian J. Appl. Math., 3 (2013), pp. 93-106.

Published online: 2018-02

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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

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

  • AMS Subject Headings

76D05, 35Q35, 65N06

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-3-93, author = {T. V. S. Sekhar and B. Hema Sundar Raju}, title = {Spherical Geometry HOC Scheme to Capture Low Pressures within a Wake}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {3}, number = {2}, pages = {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 $Re = 250$.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.150313.020513a}, url = {http://global-sci.org/intro/article_detail/eajam/10849.html} }
TY - JOUR T1 - Spherical Geometry HOC Scheme to Capture Low Pressures within a Wake AU - T. V. S. Sekhar & B. Hema Sundar Raju 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 $Re = 250$.

T. V. S. Sekhar and B. Hema Sundar Raju. (2018). Spherical Geometry HOC Scheme to Capture Low Pressures within a Wake. East Asian Journal on Applied Mathematics. 3 (2). 93-106. doi:10.4208/eajam.150313.020513a
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