The Evolution Equation of Joint Pdf of Turbulent Velocity and Dissipation

Chen Yi-liang; Pope. S. B.

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(1): 23-32

Chen Yi-liang, Pope. S. B.. The Evolution Equation of Joint Pdf of Turbulent Velocity and Dissipation[J]. Applied Mathematics and Mechanics, 1989, 10(1): 23-32.

Citation:

Chen Yi-liang, Pope. S. B.. The Evolution Equation of Joint Pdf of Turbulent Velocity and Dissipation[J]. Applied Mathematics and Mechanics, 1989, 10(1): 23-32.

Citation:

Chen Yi-liang, Pope. S. B.. The Evolution Equation of Joint Pdf of Turbulent Velocity and Dissipation[J]. Applied Mathematics and Mechanics, 1989, 10(1): 23-32.

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The Evolution Equation of Joint Pdf of Turbulent Velocity and Dissipation

Chen Yi-liang¹,
Pope. S. B.²

1.
University of Science and Technolygy of China .Hefei;
2.
Cornell University, U. S. A.

Received Date: 1987-10-30
Publish Date: 1989-01-15

Abstract

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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References(10)

References

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