Renormalization-group theory for the propagation of a turbulent burst

Lin Yuan Chen, Nigel Goldenfeld

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the propagation of a plane front separating a turbulent region of fluid from a quiescent region. Initially, the turbulent-energy distribution as a function of z, the displacement normal to the front, is assumed to be localized, and after a time t, general renormalization-group arguments show that there is a similarity solution of the form q(z,t)t-(2/3+2i)f (zt-(2/3+), ), where i and are -dependent anomalous dimensions, satisfying the scaling law i+=0 and is a measure of the dissipation. Using perturbation theory, we calculate values of i and o O(), which are in good agreement with numerical calculations, and we explicitly verify the above scaling law and find the form of the scaling function f.

Original languageEnglish (US)
Pages (from-to)5572-5577
Number of pages6
JournalPhysical Review A
Volume45
Issue number8
DOIs
StatePublished - 1992

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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