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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >ASSESSMENT OF HIGHER-ORDER UPWIND SCHEMES INCORPORATING FCT FOR CONVECTION-DOMINATED PROBLEMS
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ASSESSMENT OF HIGHER-ORDER UPWIND SCHEMES INCORPORATING FCT FOR CONVECTION-DOMINATED PROBLEMS

机译：对流有问题的包含FCT的高阶上风方案的评估

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摘要

A new generalized formulation is suggested for four-point discretization schemes on nonuniform grids. The central difference scheme, the QUICK scheme, and the second-order upwind scheme fall into this formulation. A second-order hybrid scheme is also presented on nonuniform grids. The unbounded behavior of the generalized formulation is examined. A flux-corrected transport algorithm is then applied to the above four schemes on a uniform grid. Four two-dimensional convection-dominated problems are used to test the schemes. Incorporation of flux-corrected transport (FCT) into the high-order schemes improves the solution accuracy greatly. The unmodified multidimensional FCT limiter is found to be unable to completely suppress the small scale oscillation of a velocity component which has discontinuities in a direction normal to the advection. [References: 32]
机译：对于非均匀网格上的四点离散化方案，提出了一种新的广义公式。中心差分方案，QUICK方案和二阶迎风方案属于此公式。在非均匀网格上也提出了二阶混合方案。检查了广义公式的无限制行为。然后将通量校正的传输算法应用于均匀网格上的上述四个方案。四个二维对流占优的问题用于测试该方案。将磁通校正输运（FCT）合并到高阶方案中可以大大提高求解精度。发现未修改的多维FCT限制器无法完全抑制速度分量的小规模振荡，该速度分量在垂直于对流的方向上具有不连续性。 [参考：32]

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