lele1992

Summary

Compact Finite Difference Schemes with Spectral-like Resolution. S.K. Lele. Journal of Computational Physics, 103, 1992.

Abstract

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.

Bibtex entry

@ARTICLE { lele1992,
    AUTHOR = { S.K. Lele },
    TITLE = { Compact Finite Difference Schemes with Spectral-like Resolution },
    JOURNAL = { Journal of Computational Physics },
    YEAR = { 1992 },
    VOLUME = { 103 },
    ABSTRACT = { 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. },
}