Numerical Analysis of Low Reynolds Number Flow around a Body Immersed in a Uniform Stream

概要

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In this report, the factors that are responsible for the accuracy of numerical calculations of two-dimensional low Reynolds number flows around cylindrical bodies immersed in a uniform stream are discussed on the basis of thee Navier-Stokes equations. The finite difference calculations have been carried out for a circular cylinder and it has been confirmed that the difference of the outer boundary condition affects little the accuracy, if the outer boundary is sufficiently far from the body, but if a comparatively near outer boundary is assumed, Oseen flow is recommended as the outer flow on the boundary. The results can be extended to the other geometries of cylinders and Imai's asymptotic solution can be used in place of the Oseen flow. Some aspects of the flow, such as streamlines, length of twin-vortices, angle of flow separation, etc. are also discussed.
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