Front tracking is a method for solving conservation laws in which the
evolution of discontinuities is determined through the solution of Rie
mann problems. This method often does not require highly refined grids
, and it has no numerical diffusion. We show the success of this metho
d through a comparison of simulations of the Richtmyer-Meshkov instabi
lity, an unstable material interface, with experimental data. Good sim
ulations of such instabilities are notoriously difficult, and we also
demonstrate for the same physical problem that grid orientations have
no effect on the numerical solution. We also present the first results
of our three-dimensional front tracking code by simulating an importa
nt aspect of the computer chip manufacturing process: material deposit
ion and etching. Our two-and three-dimensional front tracking code is
parallelized for MIMD architectures and runs on our 128 node Intel Par
agon.