Numerical grid generation: foundations and applications
Numerical grid generation: foundations and applications
Journal of Computational Physics
Steady and unsteady flow past a rotating circular cylinder at low Reynolds numbers
Computers and Fluids
Compact h4 finite-difference approximations to operators of Navier-Stokes type
Journal of Computational Physics
Compact high-order schemes for the Euler equations
Journal of Scientific Computing
High accuracy solutions of incompressible Navier-Stokes equations
Journal of Computational Physics
On steady flow past a rotating circular cylinder at Reynolds numbers 60 and 100
Computers and Fluids
Essentially compact schemes for unsteady viscous incompressible flows
Journal of Computational Physics
Journal of Scientific Computing
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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.