A Conservative Front Tracking Method in N-Dimensions

Authors:
Jinjie Liu;Hyun-Kyung Lim;James Glimm;Xiaolin Li
Affiliations:
Department of Applied Mathematics and Statistics, University at Stony Brook, Stony Brook, USA 11794---3600;Department of Applied Mathematics and Statistics, University at Stony Brook, Stony Brook, USA 11794---3600;Department of Applied Mathematics and Statistics, University at Stony Brook, Stony Brook, USA 11794---3600 and Computational Science Center, Brookhaven National Laboratory, Upton, USA 11793;Department of Applied Mathematics and Statistics, University at Stony Brook, Stony Brook, USA 11794---3600
Venue:
Journal of Scientific Computing
Year:
2007

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Abstract

We propose a fully conservative Front Tracking algorithm for systems of nonlinear conservation laws. The algorithm can be applied uniformly in one, two, three and N dimensions. Implementation details for this algorithm and tests of fully conservative simulations are reported.