Flow around a Sphere at Finite Reynolds Number by Galerkin Method

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Nonlinear Navier–Stokes equations are solved by the Galerkin method to obtain the contour and streamline plots for the flow around the sphere.

Contributed by: Mikhail Dimitrov Mikhailov (January 2013)
(INMETRO, Brazil)
Open content licensed under CC BY-NC-SA



The program solves nonlinear Navier–Stokes equations by using the Galerkin method for analytical expressions as proposed in [1]. The method was first implemented in FORTRAN in [2].


[1] M. Kawaguti, "The Critical Reynolds Number for the Flow past a Sphere," Journal of the Physical Society of Japan, 10(8), 1955 pp. 694–699. doi:10.1143/JPSJ.10.694.

[2] C. Y. Chow, An Introduction to Computational Fluid Mechanics, New York: Wiley, 1979.

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