Compact Finite Difference Schemes with Spectral-like Resolution
نویسنده
چکیده
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.
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