Error Growth in a Decaying Two-Dimensional Turbulence

概要

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Error growth in a two-dimensional turbulence is investigated by solving numerical-ly the Navier-Stokes equation and its linearized form, starting from a fully-developedturbulent field with Reynolds number up to about l0'. The computation was done bythe spectral method with 682' effective modes. Both the energy and the squaredstream function of the difference field, which stress the lower wavenumber part of thespectrum of the flow field, exhibit an exponential growth. The enstrophy and thepalinstrophy, which stress the higher wavenumber part, on the other hand, growfaster than exponentially in an earlier stage and later grow exponentially. The growthrate is found to be independent of the norm and the Reynolds number in a certaintime interval. The enstrophy spectrum of the difference field shows a power law k'.
社団法人日本物理学会の論文
1990-01-15