Numerical simulations of a spherical shock refraction have been successfully conducted by a front tracking method. We demonstrate the e ciency of the front tracking algorithm by comparing the L1-error of spherical simulations by tracked and untracked methods. We nd that the tracked algorithm is about 64 (256) times faster than the corresponding method without tracking the interface for a 2d (3d) simulation.
Srabasti Dutta, James Glimm, John W. Grove, David