Numerical Analysis of Flows around a Rotating Square Cylinder

Abstract

Flows around a rotating square cylinder in a uniform flow are analyzed numerically. Body-fitted grid generation with moving boundaries is used to obtain the numerical solution of the incompressible Navier-Stokes equations. The time-dependent curvilinear coordinate system which coincides with a contour of the moving boundary is transformed into a fixed rectangular coordinate system in a calculational plane. The results of this method are compared with those of previous experiments, and their validity is confirmed. The changes in the stream lines, pressure distributions, C_D and C_L as the cylinder rotates are analyzed. The periodical flow can be simulated when the Karman vortex shedding and the rotation of the square cylinder are synchronized .