Abstract

The Fourier analysis and applications of Weighted Compact Fifth-order Nonlinear Scheme, which is called as WCNS-E-5, are presented in this paper. Using weighted technique, the nonlinear adaptive solver automatically chooses the locally smoothest stencil, hence avoiding crossing discontinuities in the interpolations at cell-edges as much as possible. As one of the high-order WCNS developed before, WCNS-E-5 is of fifth-order accuracy in smooth region and third-order accuracy in the vicinity of discontinuities. By Fourier analysis the features of WCNS-E-5 are discussed in terms of dissipative and dispersive errors, the resolving efficiency and the multi-dimensional phase speed anisotropy in smooth regions. The analytical results show that WCNS-E-5 has better characteristics than EUW-5 in terms of dispersive and dissipative errors, and it also has the higher resolving efficiency than EUW-5 and e

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