Relative Diffusion in Turbulent Flow by Usingthe Effective Hamiltonian Method

Nakao, Hajime

doi:10.1143/jpsj.60.2942

Cited by 4 publications

(2 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These values agree with the results given by Kraichnan [8] (g = 2.42), Lundgren [13] (0 = 3), Larcheveque and Lesieur [12] (g = 3.5). In [17] the effective Hamiltonian method was used to derive the Richardson cubic law. From this approach it is possible to estimate that g varies from 3.5 to 9 when the decorrelation parameter a changes from 2 to 0.5.…”

Section: Y€(a ) Y> mentioning

confidence: 99%

Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Numerical Results

Kurbanmuradov¹,

Sabelfeld²,

Koluhin³

1997

Monte Carlo Methods and Applications

View full text Add to dashboard Cite

Abstracts -It is shown that the relative diffusion in a stationary incompressible Gaussian isotropic random field does not exhibit the Richardson cubic law. A two particle combined Eulerian-Lagrangian stochastic model which correctly reflects the behaviour in the inertial subrange is developed. In addition, in this model, the "two-to-one" reduction due to Thomson is satisfied with high accuracy except for a small initial time interval where the error is slightly higher.

show abstract

Section: Y€(a ) Y> mentioning

confidence: 99%

Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Numerical Results

Kurbanmuradov¹,

Sabelfeld²,

Koluhin³

1997

Monte Carlo Methods and Applications

View full text Add to dashboard Cite

show abstract

“…This problem is important in research on the fundamental characters of a turbulent flow. For instance, as was shown in the previous papers [3,4], these two types of temporal damping factors give quite different results in the relative diffusion of a pair of fluid particles in the turbulence. The temporal damping factor which is a function of ε 1 / 3 Α: 2 / 3 ί proves Richardson's four-thirds law, but another does not.…”

Section: Introductionmentioning

confidence: 71%

Time Dependence of Eulerian Velocity Correlation Tensor Spectrum in Isotropic Homogeneous Turbulence

Nakao¹

1998

Monte Carlo Methods and Applications

Self Cite

View full text Add to dashboard Cite

In the previous paper, the exact expression of Lagrangian velocity autocorrelation function was derived for a steady incompressible isotropic homogeneous turbulent flow with a joint Gaussian distribution of the velocity field. By using this expression, the conditions to a temporal damping factor of the Eulerian velocity correlation tensor spectrum under which the Fourier frequency component of the Lagrangian velocity autocorrelation function becomes inversely proportional to the square value of the frequency, are numerically studied in this paper. The results obtained here confirm that the temporal damping factor is a function of & 2 / 3 £ where k and t denote the wave number and time, respectively. This result suggests that the Eulerian characteristic time in the Kolmogorov range is Ο(ε~1 /3 Α; 2/3 ). Here, the Kolmogorov range means a range where Kolmogorov's spectrum holds, and ε denotes the energy dissipation rate. A physical interpretation of this and the general understanding of the Eulerian characteristic time are proposed.

show abstract

Mechanism in Leading to Richardson's Four-Thirds Law

Nakao

Imamura

1992

J. Phys. Soc. Jpn.

View full text Add to dashboard Cite

Relative Diffusion in Turbulent Flow by Usingthe Effective Hamiltonian Method

Cited by 4 publications

References 8 publications

Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Numerical Results

Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Numerical Results

Time Dependence of Eulerian Velocity Correlation Tensor Spectrum in Isotropic Homogeneous Turbulence

Mechanism in Leading to Richardson's Four-Thirds Law

Contact Info

Product

Resources

About