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- W2997666315 abstract "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. The fifth-order scheme provided a factor of 10 reduction in the number of points over the third-order scheme in each crossflow plane. The corotating double-vortex model problem was used to study the effect of vortex skewness relative to the grid. A vortex-convection skewness parameter was defined that indicates the number of grid points required in the axial direction for adequate preservation of a vortex skewed relative to the grid." @default.
- W2997666315 created "2020-01-10" @default.
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- W2997666315 date "1995-06-19" @default.
- W2997666315 modified "2023-09-27" @default.
- W2997666315 title "Investigation of high-order upwinded differencing for vortex convection" @default.
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- W2997666315 doi "https://doi.org/10.2514/6.1995-1719" @default.
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