Front tracking for a model of immiscible gas flow with large data
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- Holden, H., Risebro, N.H. & Sande, H. Bit Numer Math (2010) 50: 331. doi:10.1007/s10543-010-0264-6
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In this paper we study front tracking for a model of one dimensional, immiscible flow of several isentropic gases, each governed by a gamma-law. The model consists of the p-system with variable gamma representing the different gases. The main result is the convergence of a front tracking algorithm to a weak solution, thereby giving existence as well. This convergence holds for general initial data with a total variation satisfying a specific bound. The result is illustrated by numerical examples.