Two model problems were formulated to investigate the benefits of using higher order upwinded differencing schemes to convect a vortex. In these model problems, one or two ideal vortices were specified at the upstream boundary and convected through a simple fluid domain in the direction of the vorticity vector. Numerical tests were performed using an implicit upwinded finite volume method with orders of accuracy varying from first to fifth order. The effect of grid refinement was examined to determine the relative advantage to higher order accuracy vs additional grid points. The calculations demonstrated that the fifth-order scheme with 14 points across the vortex diameter convected a well-aligned vortex almost perfectly.
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