Fig. 7
From: A numerical shallow-water model for gravity currents for a wide range of density differences
Speed of the front position, \(\dot {x}_{\mathrm {N}}\), in the early time steps. a Comparisons between the analytical result with ρ c/ρ a=1000 (red line) and numerical results of the BC model with ρ c/ρ a=1000 (blue symbols) and of the AB model with ε=4.58×10−7 (green symbols). In the numerical calculations, Δ x=1.0×10−4. b Illustrations of the overestimation of \(\dot {x}_{\mathrm {N}}\) by the BC model in t≲0.0002 in (a)