Equivolumetric Evolution of Planar Curves

Figure 4

(a) The equivolumetric evolution starting from a rectangular initial flame is illustrated. The initial front is a square centered at the origin whose length of a side is 0.6. The evolution speed is given by (21) with the volumetric ratio , which is the same as the speed of planar flame in Figure 1. The sequence of fronts is plotted from to with . (b) This plot shows an enlargement of the motion of the front near the corner marked as a dotted box on (a). This is the motion of the front from to with .

(a)

(b)