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THE EVOLUTION EQUATION OF JOINT PDF OF TURBULENT VELOCITY AND DISSIPATION

THE EVOLUTION EQUATION OF JOINT PDF OF TURBULENT VELOCITY AND DISSIPATION
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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. 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第1期25-34,共10页 应用数学和力学(英文版)
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