Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Large Eddy Simulations

Figure 4

Correlation coefficients for the (a) (𝑆_𝑟+𝑆_𝑛)−𝜅_𝑚 and (b) |∇𝑐|−𝜅_𝑚 correlations for 𝑐=0.1,0.3,0.5,0.7 and 0.9 isosurfaces for cases A–E. Variations of (𝜅_𝑚)_𝑠×𝛿_th conditionally averaged in bins of 𝑐̃ across the flame brush for (c) Δ=8Δ_𝑚≈0.8𝛿_th and (d) Δ=24Δ_𝑚≈2.4𝛿_th.

(a)

(b)

(c)

(d)