A probability density closure model for turbulence
| ISSN: |
1619-6937
|
|---|---|
| Source: |
Springer Online Journal Archives 1860-2000
|
| Topics: |
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Physics
|
| Notes: |
Summary Starting from the Navier-Stokes equation, the evolution equation of the first order probability density functions of turbulence is derived. Closure assumptions for the pressure terms are introduced and the closed pdf equation is obtained. The resulting evolution equation takes the form of the Fokker-Planck equation and contains the existing Langevin based models as special cases. It is shown that the model predicts the known behaviors of turbulence in the limit of extremely high Reynolds number as well as a decaying turbulence. The moment equations are also examined. It is shown that the model is consistent with the recent second and third order closure models of turbulence.
|
| Type of Medium: |
Electronic Resource
|
| URL: |