Flow past rotating cylinders at high Reynolds numbers using higher order upwind scheme (Q1390160)

We study flows past a translating and spinning circular cylinder at different Reynolds numbers and different rotation rates by solving the incompressible two-dimensional Navier-Stokes equation using a third-order upwind scheme. A detailed error analysis is made before choosing a grid that minimizes numerical dispersion and dissipation which are known to affect the higher-order schemes. The resulting grid-independent method is not restricted by numerical instability at high Reynolds numbers. The results are compared with the available experiments to establish the effectiveness of the scheme.