638 CIP法およびIDO法の計算精度(S04-1 ここまで来たCIP法とその将来(1),S04 ここまで来たCIP法とその将来)

概要

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We show that the CIP scheme and the IDO scheme can resolve higher wavenumber than the sixth-order Finite Difference (FD) scheme, the fourth-order Compact Difference (CD) scheme, and the sixth-order Combined CD (CCD) scheme for the advection equation. The numerical viscosity in the upwind interpolation function of the CIP scheme consists of the combination of the fourth-order and the fifth-order derivative terms, and contributes to stabilize the solution including wavenumber near w=π. Not only for the advection term but also for the non-advection terms, the IDO scheme resolves higher wavenumber than the other schemes, and provides spectral-like solutions for the direct numerical simulation of the turbulence flow.
社団法人日本機械学会の論文
2005-09-18