AustralieFrV1, Main, Exploration, bibRecord, 005896

Statistical properties of supersonic turbulence in the Lagrangian and Eulerian frameworks

Identifieur interne : 005896 ( Main/Exploration ); précédent : 005895; suivant : 005897

Statistical properties of supersonic turbulence in the Lagrangian and Eulerian frameworks

Auteurs : Lukas Konstandin [Allemagne] ; Christoph Federrath [Allemagne, France, Australie] ; Ralf S. Klessen [Allemagne] ; Wolfram Schmidt [Allemagne]

Source :

Journal of Fluid Mechanics [ 0022-1120 ] ; 2012.

RBID : Pascal:12-0358952

Descripteurs français

Pascal (Inist)
- Ecoulement supersonique, Structure turbulence, Fluide compressible, Loi échelle, Intermittence, Fonction densité probabilité, Modélisation, Simulation numérique, Dimension fractale, 4727E, 4740K.

English descriptors

KwdEn :
- Compressible fluid, Digital simulation, Fractal dimension, Intermittency, Modelling, Probability density function, Scaling laws, Supersonic flow, Turbulence structure.

Abstract

We present a systematic study of the influence of different forcing types on the statistical properties of supersonic, isothermal turbulence in both the Lagrangian and Eulerian frameworks. We analyse a series of high-resolution, hydrodynamical grid simulations with Lagrangian tracer particles and examine the effects of solenoidal (divergence-free) and compressive (curl-free) forcing on structure functions, their scaling exponents, and the probability density functions of the gas density and velocity increments. Compressively driven simulations show significantly larger density contrast, more intermittent behaviour, and larger fractal dimension of the most dissipative structures at the same root mean square Mach number. We show that the absolute values of Lagrangian and Eulerian structure functions of all orders in the integral range are only a function of the root mean square Mach number, but independent of the forcing. With the assumption of a Gaussian distribution for the probability density function of the velocity increments for large scales, we derive a model that describes this behaviour.

Affiliations:

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Le document en format XML

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<front><div type="abstract" xml:lang="en">We present a systematic study of the influence of different forcing types on the statistical properties of supersonic, isothermal turbulence in both the Lagrangian and Eulerian frameworks. We analyse a series of high-resolution, hydrodynamical grid simulations with Lagrangian tracer particles and examine the effects of solenoidal (divergence-free) and compressive (curl-free) forcing on structure functions, their scaling exponents, and the probability density functions of the gas density and velocity increments. Compressively driven simulations show significantly larger density contrast, more intermittent behaviour, and larger fractal dimension of the most dissipative structures at the same root mean square Mach number. We show that the absolute values of Lagrangian and Eulerian structure functions of all orders in the integral range are only a function of the root mean square Mach number, but independent of the forcing. With the assumption of a Gaussian distribution for the probability density function of the velocity increments for large scales, we derive a model that describes this behaviour.</div>
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Statistical properties of supersonic turbulence in the Lagrangian and Eulerian frameworks

Statistical properties of supersonic turbulence in the Lagrangian and Eulerian frameworks

Source :

Descripteurs français

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri