J
2013
Ab initio construction of the 2-point velocity difference PDF for incompressible Navier-Stokes fluids
CREMASCHINI, Claudio a Massimo TESSAROTTO
Základní údaje
Originální název
Ab initio construction of the 2-point velocity difference PDF for incompressible Navier-Stokes fluids
Název anglicky
Ab initio construction of the 2-point velocity difference PDF for incompressible Navier-Stokes fluids
Vydání
European Physical Journal Plus, DE - Spolková republika Německo, 2013, 2190-5444
Další údaje
Typ výsledku
Článek v odborném periodiku
Obor
10300 1.3 Physical sciences
Utajení
není předmětem státního či obchodního tajemství
Organizační jednotka
Fyzikální ústav v Opavě
Klíčová slova anglicky
Probability Density-function; Lagrangian dynamics; Turbulent flows
Příznaky
Mezinárodní význam, Recenzováno
Návaznosti
EE2.3.20.0071, projekt VaV.
V originále
Characterizing hydrodynamic turbulence in terms of the so-called 2-point velocity difference statistics is a basic aspect of fluid dynamics, both from the theoretical and experimental viewpoints. The issue concerns in particular the first-principle construction of the corresponding 2-point velocity difference probability density function (PDF) as well as the transport equation which determines its time evolution. The goal of this paper is to point out that the problem can be solved by suitably prescribing the ensemble-averaging operator to be employed in the statistical description of fluids. As a result, qualitative properties of the 2-point PDF which are usually ascribed to the occurrence of turbulence are shown to follow from the ab initio approachpresented here and to characterize both deterministic and stochastic fluid descriptions.
Zobrazeno: 25. 12. 2024 09:48