Passive Scalar Diffusion in Two Dimensional Turbulence in the Lagrangian Renormalized Approximation

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概要

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• Passive scalar diffusion in two dimensional turbulence is considered on the basis ofLagrangian renormalized approximation. The probability density function for parti-cle pair dispersion is found to be selfsimilar in the energy cascading range and to belognormal in both the enstrophy and the viscous convective ranges. The spectrumF(k) of scalar fluctuations is found to be F(k)=C,ze "'k "' with C,=0.198 in theenergy cascading range, F(k)=C;zp "'k '{In(A//c,)} "' with C;=O.561 in theenstrophy cascading range, .F(k)= A7.(v/e)"'k'-' in the viscous convective rangeand F(A)'s in other ranges are also shown. It is shown that in the enstrophy inertialrange the turbulent diffusivity is dominated by large scale eddies. The evolution of themean square distance of the particle pair is compared with the data of ballon releaseexperiments by Er-El and Peskin (J. Atmos. Sci. 38 2264 (1981)).

• 社団法人日本物理学会の論文
• 1989-07-15

著者

• GOTOH Toshiyuki

  Department of Systems Engineering, Nagoya Institute of Technology

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