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The evolution equation of joint Pdf of turbulent velocity and dissipation

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Abstract

According to the hypothesis that the dissipation of turbulent kinetic energy satisfies log-normal distribution, a stochastic model of dissipation is provided and the Langevin model[6] of velocity is modified. Then a joint Pdf equation of turbulent velocity and dissipation is derived. We solve numerically the joint Pdf equation using Monte Carlo method and obtain satisfactory results for decaying turbulence and homogeneous turbulent shear flow. The preliminary results show that the model is well working.

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Authors and Affiliations

  1. University of Science and Technology of China, Hefei

    Chen Yi-liang

  2. Cornell University, USA

    S. B. Pope

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  1. Chen Yi-liang
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  2. S. B. Pope
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Communicated by Tsai Shu-tang

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Yi-liang, C., Pope, S.B. The evolution equation of joint Pdf of turbulent velocity and dissipation. Appl Math Mech 10, 25–34 (1989). https://doi.org/10.1007/BF02018489

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  • DOI: https://doi.org/10.1007/BF02018489

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