The PSC (Propagation of Surfaces under Curvature) algorithm is adapted to t
he simulation of a flame propagation in a premixed medium including the eff
ect of volume expansion across the flame front due to exothermicity. The al
gorithm is further developed to incorporate the flame anchoring scheme. Thi
s methodology is successfully applied to numerically simulate the response
of an anchored V-flame to two strong free stream vortices, in accord with e
xperimental observations of a passage of Karman vortex street through a fla
me. The simulation predicts flame cusping when a strong vortex pair interac
ts with flame front. In other words, this algorithm handles merging and bre
aking of the flame front and provides an accurate calculation of the flame
curvature which is needed for flame propagation computation and estimation
of curvature-dependent flame speeds.