TY - JOUR

T1 - Renormalization-group theory for the propagation of a turbulent burst

AU - Chen, Lin Yuan

AU - Goldenfeld, Nigel

N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevA.45.5572

DO - 10.1103/PhysRevA.45.5572

M3 - Article

AN - SCOPUS:0001556777

VL - 45

SP - 5572

EP - 5577

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 8

ER -