  In this paper we consider a level set reinitialization technique based on a
high-order, local discontinuous Galerkin method on unstructured triangular
meshes. A finite volume based subcell stabilization is used to improve the
nonlinear stability of the method. Instead of the standard hyperbolic level set
reinitialization, the flow of time Eikonal equation is discretized to construct
an approximate signed distance function. Using the Eikonal equation removes the
regularization parameter in the standard approach which allows more predictable
behavior and faster convergence speeds around the interface. This makes our
approach very efficient especially for banded level set formulations. A set of
numerical experiments including both smooth and non-smooth interfaces indicate
that the method experimentally achieves design order accuracy.
