A Local Level-Set Concept for Front Tracking on Arbitrary Grids

Abstract

This paper proposes a general multi-dimensional front tracking concept for arbitrary physical problems. The tracking method is based on the level-set approach with a restricted dynamic definition range in the vicinity of the fronts. Special attention is drawn to the problem of the classical level-set method, i.e. accuracy issues and topological restrictions. In this concern, a less sensitive time integration is introduced and the problem of interacting discontinuities is addressed. The concept is integrated in the basic modular Finite-Volume solution package MOUSE [1] for systems of conservation laws on arbitrary grids.