The level surface approach for following flame front propagating in a premixed medium is adapted to incorporate the flameholding scheme. This allows one to follow the flameholding scheme. This allows one to follow the motion of an N-1 dimensional surface in N space dimensions. The flame speed may be an arbitrary function of flame geometry and the front is passively advected by an underlying flow field. This algorithm provides and accurate calculation of the flame curvature which may be needed for the flame propagation computation and thereby the estimation of curvature-dependent flame speeds. A numerical demonstration of this method-ology is applied to simulate the excursion of an anchored V-flame and locate the final equilibrium position.