The Eulerian method

Reproduction of Sethian and Osher's work on Propagating Fronts

These are curves moving under their own curvature as determined by the speed function, F(K), where K is the mean curvature.

Application to curved space

  • Same cosine propagation with added curved space (external damping factor exp[-t^2/s^2]) showing the dependence of the shape of the front on the curved spacetime.