On computing distance function for Level Set Method using USFEM/Rothe as stabilized formulation

Abstract

In this work we use the Unusual Stabilized Finite Element Method (USFEM) associated to Rothes method for solving the redistancing problem in the Level Set Method . Rothes method is used first for advancing the solution in (pseudo)time and USFEM for solving the resulting steady advective–reaction problem in each time step. Several 2D problems are solved and results compared with SUPG scheme supplemented with a nonlinear discontinuity–capturing operator