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

Figure 2

Variations of (𝑆_𝑑∇⋅𝑁^→)_𝑠Σ_gen, 𝐶_mean=(𝑆_𝑑)_𝑠𝜕(𝑁_𝑖)_𝑠/𝜕𝑥_𝑖Σ_gen and 𝐶_sg conditionally averaged in bins of 𝑐̃ across the flame brush for Δ=8Δ_𝑚≈0.8𝛿_th (top row) and Δ=24Δ_𝑚≈2.4𝛿_th (bottom row) for cases A (1st column), B (2nd column), C (3rd column), D (4th column), and E (5th column). All the curvature terms in this and subsequent figures are normalised by 𝑆_𝐿/𝛿²_th.

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

(j)