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In the present investigation, the newly developed Higher Order Semi-Compact (HOSC) finite difference scheme has been tested
for its capability in capturing the very complex flow phenomenon of unsteady flow past a rotating and translating circular
cylinder. The physical problem has been modeled in stream function and vorticity formulation and the obtained governing equations
are transformed into curvilinear coordinates using body fitted coordinate system to enable the developed scheme to handle
the non-rectangular geometry of the problem. Qualitative and quantitative comparisons have been done at low-rotation parameters
and found that the results obtained are in excellent agreement with the existing literature. Then simulations have been carried
out at high-rotation parameters and noticed that the HOSC scheme is able to simulate some of the flow features known experimentally
but not simulated numerically to the present date.
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