J 2013

Ab initio construction of the 2-point velocity difference PDF for incompressible Navier-Stokes fluids

CREMASCHINI, Claudio and Massimo TESSAROTTO

Basic information

Original name

Ab initio construction of the 2-point velocity difference PDF for incompressible Navier-Stokes fluids

Name (in English)

Ab initio construction of the 2-point velocity difference PDF for incompressible Navier-Stokes fluids

Authors

CREMASCHINI, Claudio and Massimo TESSAROTTO

Edition

European Physical Journal Plus, DE - Spolková republika Německo, 2013, 2190-5444

Other information

Type of outcome

Článek v odborném periodiku

Field of Study

10300 1.3 Physical sciences

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Organization unit

Institute of physics in Opava

UT WoS

000323268200004

Keywords in English

Probability Density-function; Lagrangian dynamics; Turbulent flows

Tags

International impact, Reviewed

Links

EE2.3.20.0071, research and development project.
Změněno: 29/3/2021 10:27, Mgr. Pavlína Jalůvková

Abstract

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.