A front tracking approach for finite-volume methods

Abstract

A multi-dimensional front tracking concept for Finite-Volume methodd on unstructured grids is presented for solving flow problems with embedded discontinuous solutions. The tracking method is based on the level-set approach on a narrow band in the vicinity of the fronts. The combined finite-volume and tracking method is able to deal with different types of discontinuities in compressible or incompressible fluid flows, as e.g. interfaces or shocks. The flexibility of the tracking method is demonstrated by a number of different flow problems with discontinuities.