Stochastic Navier-Stokes equation for a compressible fluid: Two-loop approximation

Michal Hnatič, Nikolay M. Gulitskiy, Tomáš Lučivjanský, Lukáš Mižišin, Viktor Škultéty

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

A model of fully developed turbulence of a compressible fluid is briefly reviewed. It is assumed that fluid dynamics is governed by a stochastic version of Navier-Stokes equation. We show how corresponding field theoretic-model can be obtained and further analyzed by means of the perturbative renormalization group. Two fixed points of the RG equations are found. The perturbation theory is constructed within formal expansion scheme in parameter y, which describes scaling behavior of random force fluctuations. Actual calculations for fixed points’ coordinates are performed to two-loop order.

Original languageEnglish
Title of host publication11th Chaotic Modeling and Simulation International Conference, 2018
EditorsChristos H. Skiadas, Ihor Lubashevsky
PublisherSpringer Nature
Pages175-187
Number of pages13
ISBN (Print)9783030152963
DOIs
StatePublished - 1 Jan 2019
Event11th International Conference on Chaotic Modeling, Simulation and Applications, CHAOS 2018 - Rome, Italy
Duration: 5 Jun 20188 Jun 2018

Publication series

NameSpringer Proceedings in Complexity
ISSN (Print)2213-8684
ISSN (Electronic)2213-8692

Conference

Conference11th International Conference on Chaotic Modeling, Simulation and Applications, CHAOS 2018
CountryItaly
CityRome
Period5/06/188/06/18

Scopus subject areas

  • Statistical and Nonlinear Physics

Keywords

  • Anomalous scaling
  • Compressibility
  • Field-theoretic renormalization group
  • Stochastic Navier-Stokes equation

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