✦ LIBER ✦

A finite volume method for fluid flow in polar cylindrical grids

✍ Scribed by L. Ma; D. B. Ingham; X. Wen

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 207 KB
Volume: 28
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(19980930)28:4<663::aid-fld739>3.0.co;2-j

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✦ Synopsis

In the numerical simulation of fluid flows using a polar cylindrical grid, grid lines meet at a single point on the axis of the polar cylindrical grid system; this makes the grids around the axis degenerate from being general quadrilaterals into triangles. Therefore, a special treatment must be performed when the axis has to be included in the computational domain in order to solve a non-axisymmetrical fluid flow problem. In this paper a new numerical method has been developed to deal with the difficulty of the axis when the control volume technique is used with a non-staggered grid arrangement. Two illustrative examples of the proposed method are presented for simulating the fluid flows on the axis and all the numerical results obtained for the two examples are shown to be in good agreement with the available analytical solutions.

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