Fig.1 A schematic of irregular channel cavity

Fig.2 Mesh2 used in the computation

Fig.3 A comparison of experimental (left) and numerical (right) results at different time instants (a) t=2.48, (b) t=3.0, (c) t=3.4, (d) t=3.7

Fig.4 Interface front at t=2.48 on different meshes

Fig.5 (a) τxx, (b) τxy, (c) τyy along a vertical line x=7.5 on different meshes at t=3.7

Fig.6 A schematic of rectangular cavity with a diamond insert

Fig.7 Experimental (left) and numerical (right) results (a) t=0.4; (b) t=0.7; (c) t=1.1; (d) t=1.33

Fig.8 A schematic of trapezoidal cavity with an irregular insert

Fig.9 Mesh2 used in the computation

Fig.10 Profiles of interface front with u=2.0 at different time (a) t=0.2; (b) t=0.7; (c) t=1.0; (d) t=1.15

Fig.11 (a) Profiles of interface front and (b) τxx, (c) τxy, (d) τyy at t=0.7 on different meshes

Fig.12 Profiles of interface front with u=10 at different time (a) t=0.09; (b) t=0.15; (c) t=0.19; (d) t=0.28

Fig.13 The development of interface front with u=2.0 at (a) t=0.3; (b) t=1.5; (c) t=2.0; (d) t=2.5

Fig.14 Free surfaces for u=5.0 at different time instants (a) t=0.3; (b) t=0.6; (c) t=0.8; (d) t=1.1

Fig.15 The development of melt front with u=10.0 at (a) t=0.05; (b) t=0.15; (c) t=0.2; (d) t=0.3

Fig.16 Profiles of melt front with u=5.0 at four time instants (a) t=0.08; (b) t=0.18; (c) t=0.25; (d) t=0.4

Fig.17 Profiles of interface front with u=10.0 at different time instants (a) t=0.05; (b) t=0.1; (c) t=0.15; (d) t=0.25