Richardson's Law in Large-Eddy Simulations of Boundary-Layer Flows

Gioia, Giulia; Lacorata, Guglielmo; Filho, Edson Pereira Marques; Mazzino, Andrea; Rizza, Umberto

doi:10.1023/b:boun.0000039373.45669.68

Cited by 20 publications

(19 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We see that a collapse of curves is beginning to form for all initial separations. We estimate the value of g to be approximately 0.50± 0.05, which agrees with the value computed above and with previous estimates of g. 13,14,29 This method has the advantage of relative insensitivity to the initial separation and avoids the problem of the nonzero intercept discussed in Sec. III A.…”

Section: ͗T ͑Rsupporting

confidence: 89%

Lagrangian statistics of particle pairs in homogeneous isotropic turbulence

Biferale

Boffetta

Celani³

et al. 2005

Physics of Fluids

100

124

View full text Add to dashboard Cite

We present a detailed investigation of the particle pair separation process in homogeneous isotropic turbulence. We use data from direct numerical simulations up to R ϳ 280 following the evolution of about two million passive tracers advected by the flow over a time span of about three decades. We present data for both the separation distance and the relative velocity statistics. Statistics are measured along the particle pair trajectories both as a function of time and as a function of their separation, i.e., at fixed scales. We compare and contrast both sets of statistics in order to gain insight into the mechanisms governing the separation process. We find very high levels of intermittency in the early stages, that is, for travel times up to order ten Kolmogorov time scales. The fixed scale statistics allow us to quantify anomalous corrections to Richardson diffusion in the inertial range of scales for those pairs that separate rapidly. It also allows a quantitative analysis of intermittency corrections for the relative velocity statistics.

show abstract

Section: ͗T ͑Rsupporting

confidence: 89%

Lagrangian statistics of particle pairs in homogeneous isotropic turbulence

Biferale

Boffetta

Celani³

et al. 2005

Physics of Fluids

100

124

View full text Add to dashboard Cite

show abstract

“…This new method has been already exploited for studies of relative dispersion in atmospheric and oceanic systems , Joseph and Legras 2002, Boffetta et al 2001, LaCasce and Ohlmann 2003, Gioia et al 2003 and also in laboratory convection experiments (Boffetta et al 2000b). …”

Section: Introductionmentioning

confidence: 99%

Evidence for a k−5/3 Spectrum from the EOLE Lagrangian Balloons in the Low Stratosphere

Lacorata

Aurell

Legras

et al. 2004

Journal of the Atmospheric Sciences

View full text Add to dashboard Cite

The EOLE Experiment is revisited to study turbulent processes in the lower stratosphere circulation from a Lagrangian viewpoint and resolve a discrepancy on the slope of the atmospheric energy spectrum between the work of Morel and Larchevêque (1974) and recent studies using aircraft data. Relative dispersion of balloon pairs is studied by calculating the Finite Scale Lyapunov Exponent, an exit time-based technique which is particularly efficient in cases where processes with different spatial scales are interfering. Our main result is to reconciliate the EOLE dataset with recent studies supporting a k −5/3 energy spectrum in the range 100-1000 km. Our results also show exponential separation at smaller scale, with characteristic time of order 1 day, and agree with the standard diffusion of about 10 7 m 2 s −1 at large scales. A still open question is the origin of a k −5/3 spectrum in the mesoscale range, between 100 and 1000 km.

show abstract

“…Recent experimental and numerical studies agree about a value of the Richardson's constant C R 5 · 10 −1 (Ott and Mann, 2002, Boffetta and Sokolov, 2002, Gioia et al, 2004. The Richardson's law (II.3) can be derived from the fundamental assumption of the theory of turbulence stating that |∆ V (δ)| 2 ∼ δ 2/3 inside the inertial range (Frisch, 1995).…”

Section: Main Aspects Of Lagrangian Dispersionmentioning

confidence: 95%

“…The Richardson's law (II.3) can be derived from the fundamental assumption of the theory of turbulence stating that |∆ V (δ)| 2 ∼ δ 2/3 inside the inertial range (Frisch, 1995). It can be verified, by a simple dimensional argument, that the equivalent of (II.3) in terms of FSLE is λ(δ) = αδ −2/3 , where α 3 is a quantity of the same order as (Gioia et al, 2004, Lacorata et al, 2004.…”

Section: Main Aspects Of Lagrangian Dispersionmentioning

confidence: 99%

“…Such a model has been widely used and tested to investigate basic research problems in the framework of boundary layer flows (see, for example, Moeng and Wyngaard, 1988;Moeng and Sullivan, 1994;Porte Agel et al 2000;Antonelli et al, 2003;Gioia et al 2004, Rizza et al 2006, among the others). The major reference papers for the LES model we use are Moeng (1984), and Sullivan et al (1994).…”

Section: A the Les Velocity Fieldmentioning

confidence: 99%

See 1 more Smart Citation

3D Chaotic Model for Subgrid Turbulent Dispersion in Large Eddy Simulations

Lacorata

Mazzino

Rizza

2008

Journal of the Atmospheric Sciences

View full text Add to dashboard Cite

We introduce a 3D multiscale kinematic velocity field as a model to simulate Lagrangian turbulent dispersion. The incompressible velocity field is a nonlinear deterministic function, periodic in space and time, that generates chaotic mixing of Lagrangian trajectories. Relative dispersion properties, e.g. the Richardson's law, are correctly reproduced under two basic conditions: 1) the velocity amplitudes of the spatial modes must be related to the corresponding wavelengths through the Kolmogorov scaling; 2) the problem of the lack of "sweeping effect" of the small eddies by the large eddies, common to kinematic simulations, has to be taken into account. We show that, as far as Lagrangian dispersion is concerned, our model can be successfully applied as additional sub-grid contribution for Large Eddy Simulations of the planetary boundary layer flow.2

show abstract

Richardson's Law in Large-Eddy Simulations of Boundary-Layer Flows

Cited by 20 publications

References 21 publications

Lagrangian statistics of particle pairs in homogeneous isotropic turbulence

Lagrangian statistics of particle pairs in homogeneous isotropic turbulence

Evidence for a k−5/3 Spectrum from the EOLE Lagrangian Balloons in the Low Stratosphere

3D Chaotic Model for Subgrid Turbulent Dispersion in Large Eddy Simulations

Contact Info

Product

Resources

About