Front Tracking at AMS
Front Tracking at Stony Brook
Front Tracking is a numerical method for
the solution of partial differential equations whose
solutions have discontinuities. These discontinuities
can be boundaries between different materials, shock waves,
or even more exotic structures. Conservation laws are good
examples of such partial differential equations: discontinuities
may form spontaneously and persist.
The Euler equation describing the motion of "dry" water,
is an example of a conservation law.
The Front Tracking method has been developed over the last fifteen
years primarily in the context of hyperbolic equations with specific
applications in mind. Hyperbolic equations typically have
discontinuous and possibly non-unique solutions. In the
context of a specific application, we can usually figure out how
the relevant solution should be selected. As a result we have
a Front Tracking code for a variety of applications: