Statistics conditioned to iso-scalar surfaces in highly turbulent premixed reacting systems
Journal article, 2019

The paper aims at clarifying some issues associated with evaluation of surface-averaged quantities in Direct Numerical Simulation (DNS) of a turbulent reacting flow. For a quantity φ(t,x) averaged over an isosurface c(t,x)=cˆ of a reaction progress variable c, there exist at least two different definitions of surface averages; an area-weighted surface average  φs and an unweighted surface average φv . These two fine-grained averages can also be extended to coarse-grained surface averages  φS and φV over an interval of cˆ≤c(t,x)≤cˆ+e. In a highly turbulent medium, the difference φs−φv between the area-weighted and unweighted surface averages can be significant for most quantities φ of basic interest. The sign of this difference depends on the sign of the correlation between φ and |∇c|, can be opposite for different φ or even for different isosurfaces of the same scalar field φ. For a quantity φ that can become singular in the zero-gradient points |∇c|(t,x)=0, its unweighted or area-weighted surface averages can still be bounded. The difference between area-weighted and unweighted surface averages of 1/|∇c| or |∇c| is relevant to explaining the well-known, but still challenging controversy between available data on the influence of turbulence on the local flame thickness.

Turbulent reacting flow DNS Conditioned statistics


Rixin Yu

Lund University

Andrei Lipatnikov

Förbränning och sprejer

Computers and Fluids

00457930 (ISSN)

Vol. 187 69-82

Driving Forces

Sustainable development

Subject Categories

Energy Engineering

Fluid Mechanics and Acoustics


Basic sciences



More information