1993/07/23 by Makoto Umeki · 2 citations
Earth and Planetary Sciences · Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Circulation (fluid dynamics) #Distribution (mathematics) #Exponential function #Fluid Dynamics and Turbulent Flows #Gaussian #Isotropy #Mathematical analysis #Mathematics #Mechanics #Meteorological Phenomena and Simulations #Optics #Physics #Probability density function #Probability distribution #Quantum mechanics #Standard deviation #Statistical physics #Statistics #Turbulence #Wind and Air Flow Studies #hep-th
paper · pdf · doi:10.1143/jpsj.62.3788
E-mail : [email protected] Text 6 pages + Figure 4 pages UT-F-93-1
arxiv created 1993/07/23 · openalex publication_date 1993/11/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The probability distribution functions of the circulation of velocity in three-dimensional decaying isotropic turbulence are examined by the database of the numerical simulation based on the pseudospectral method. It is shown that the standard deviation increases nearly as A2/3 where A is the area of the loop. The PDFs change from exponential to gaussian as the size becomes large. The former agrees well with the prediction by Migdal (1993), although the latter does not match. A modification is proposed to explain the gaussian distribution with the A2/3 dependence.