COMPACT FINITE-DIFFERENCE SCHEMES WITH SPECTRAL-LIKE RESOLUTION
COMPACT FINITE-DIFFERENCE SCHEMES WITH SPECTRAL-LIKE RESOLUTION
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DOI：
10.1016/0021-9991(92)90324-r
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发表时间：
1992-11-01
影响因子：
4.1
通讯作者：
LELE, SK
中科院分区：
文献类型：
--
作者：
LELE, SK
有限差分方案提供了一个改进的代表性的范围内的尺度（光谱分辨率）的评估，第一，第二，和更高阶的衍生物，并与众所周知的计划相比。该格式可用于非均匀网格，并可施加各种边界条件。方案还提出了在中间单元位置的衍生物，准确的插值和频谱滤波。流体力学问题的应用进行了讨论。
Finite difference schemes providing an improved representation of a range of scales (spectral-like resolution) in the evaluation of first, second, and higher order derivatives are presented and compared with well-known schemes. The schemes may be used on non-uniform meshes and a variety of boundary conditions may be imposed. Schemes are also presented for derivatives at mid-cell locations, for accurate interpolation and for spectral-like filtering. Applications to fluid mechanics problems are discussed.