Telegraph-Type versus Diffusion-Type Models of Turbulent Relative Dispersion(Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid mechanics)

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概要

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• Properties of two equations describing the evolution of the probability density function of the relative dispersion in turbulent flow are compared by investigating their solutions: the self-similar telegraph equation derived by Ogasawara and Toh and the Richardson diffusion equation with the drift term. The solution of the self-similar telegraph equation vanishes at a finite point, while that of the Richardson equation extends infinitely just after the initial time. Each equation has a similarity solution, which is found to be an asymptotic solution of the initial value problem. The time lag has a dominant effect on the relaxation process into the similarity solution. The approaching time to the similarity solution can be reduced by advancing the time of the similarity solution appropriately. The Batchelor scaling is observed only for the telegraph case. The Richardson constant is estimated using the similarity solutions of both equations for our previous direct numerical simulation of two-dimensional free convection turbulence.

• 社団法人日本物理学会の論文
• 2009-02-15

著者

• Ogasawara Takeshi

  Division Of Physics And Astronomy Graduate School Of Science Kyoto University

• Toh Sadayoshi

  Division Of Physics And Astronomy Graduate School Of Science Kyoto University

• KANATANI Kentaro

  Division of Physics and Astronomy, Graduate School of Science, Kyoto University

• Kanatani Kentaro

  Division Of Physics And Astronomy Graduate School Of Science Kyoto University

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• Telegraph-Type versus Diffusion-Type Models of Turbulent Relative Dispersion(Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid mechanics)

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