Fig. 5.1.

Comparison of the macroscopic velocity from equation (5.30, 5.32) with statistics from the cell-based model. In the first three plots, we compare (u_S, v_S) = (u_S ⋅ ∇S u_S ⋅ (∇S)^⊥) as a function of ∇G(S) for ώ₀ = 0.02π, 0.04π, 0.06π. Solid lines are computed from equation (5.30), dots are computed from the cell-based model; upper lines and dots are for u_S , lower lines and dots are for v_S. The fourth plot is a comparison of the predicted angle θ_uS,∇S by equation (5.32) with simulation at different parameters. All other parameters are the same as the previous examples.