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A direct numerical simulation study of interface propagation in homogeneous turbulence

Published online by Cambridge University Press:  29 April 2015

R. Yu ,
X.-S. Bai  and
A. N. Lipatnikov
R. Yu
Affiliation:
Division of Fluid Mechanics, Lund University, Lund 221 00, Sweden
X.-S. Bai
Affiliation:
Division of Fluid Mechanics, Lund University, Lund 221 00, Sweden
A. N. Lipatnikov*
Affiliation:
Department of Applied Mechanics, Chalmers University of Technology, Göteborg 412 96, Sweden
*
†Email address for correspondence: [email protected]
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Abstract

A 3D direct numerical simulation (DNS) study of the evolution of a self-propagating interface in forced constant-density statistically stationary homogeneous isotropic turbulence was performed by solving Navier–Stokes and level-set equations under a wide range of conditions that cover various (from 0.1 to 2.0) ratios of the interface speed $S_{L}$ to the r.m.s. turbulent velocity  $U^{\prime }$ and various (50, 100 and 200) turbulent Reynolds numbers $\mathit{Re}$. By analysing computed data, the following issues were addressed: (i) dependence of the speed and thickness of the fully developed statistically planar mean front that envelops the interface on $U^{\prime }/S_{L}$ and $\mathit{Re}$, (ii) dependence of the fully developed mean turbulent flux of a scalar $c$ that characterizes the state of the fluid ($c=0$ and 1 ahead and behind the interface respectively) on $U^{\prime }/S_{L}$ and $\mathit{Re}$, (iii) evolution of the mean front speed, its thickness, and the mean scalar flux during the front development after embedding a planar interface into the forced turbulence and (iv) relation between canonical and conditioned moments of the velocity, velocity gradient and pressure gradient fields.

JFM classification

Reacting Flows: Flames Turbulent Flows: Intermittency Reacting Flows: Turbulent reacting flows
Type
Papers
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Journal of Fluid Mechanics , Volume 772 , 10 June 2015 , pp. 127 - 164
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© 2015 Cambridge University Press 

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