Author(s): Lianxia Li; Huasheng Liao; Lijian Qi
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Keywords: TVD scheme; Flux limiter; R-factor; Unstructured grids; Deferred correction 1
Abstract: An improved r-factor algorithm for TVD schemes on structured and unstructured grids within a finite volume method framework has been proposed to numerically approximate the convective term. The new algorithm is tested by two problems of pure convection with a double-step profile in an oblique uniform velocity field and a Smith-Hutton problem in a rotational velocity field. The computational results are compared with the results of Darwish’s r-factor algorithm using Superbee and Osher limiters on both structured and unstructured grids. The numerical results show that the new algorithm can mitigate the oscillation behavior. When using a deferred correction technique to handle the nonlinear term arising from the high resolution schemes, the proposed algorithm showed a smoother and faster convergence history on structured grids than other algorithms such as that of Darwish’s, while on unstructured grids the presented one is more accurate with a similar convergence history.
Year: 2007