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Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (1): 25-34.

• 论文 • 上一篇    下一篇

THE EVOLUTION EQUATION OF JOINT PDF OF TURBULENT VELOCITY AND DISSIPATION

陈义良1, S. B. Pope2   

  1. 1. University of Science and Technology of China, Hefei;
    2. cornell University, U. S. A.
  • 收稿日期:1987-10-30 出版日期:1989-01-18 发布日期:1989-01-18

THE EVOLUTION EQUATION OF JOINT PDF OF TURBULENT VELOCITY AND DISSIPATION

Chen Yi-liang1, S. B. Pope2   

  1. 1. University of Science and Technology of China, Hefei;
    2. cornell University, U. S. A.
  • Received:1987-10-30 Online:1989-01-18 Published:1989-01-18

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摘要： 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 modef[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.

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 modef[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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