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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Volume were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2010, 15(4), 574-584; doi:10.3390/mca15040574

Coupling Drift-Flux Models with Unequal Sonic Speeds

1
University of the Witwatersrand, Wits 2050, South Africa
2
RWTH-Aachen, D-52056 Aachen, Germany
3
University of KwaZulu-Natal, Scottsville 3209, South Africa
*
Authors to whom correspondence should be addressed.
Published: 1 December 2010
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Abstract

The well-posedness of a Riemann problem at a junction in a pipeline network is discussed. In addition computational results on the dynamics of the flow of a multi-component gas at such network junctions are presented. The work presented here is a generalisation of [M. K. Banda, M. Herty, and J. M. T. Ngnotchouye, Towards a mathematical analysis of multiphase drift-flux model in networks, SIAM J. Sci. Comput., 31(6): 4633 – 4653, 2010] to models in which the equation of state has different compressibility factors or sonic speeds.
Keywords: Drift-flux; multi-component; compressible flow; Riemann Problem; flow networks; coupling conditions; compressibility factor Drift-flux; multi-component; compressible flow; Riemann Problem; flow networks; coupling conditions; compressibility factor
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Banda, M.K.; Herty, M.; Ngnotchouye, J.-M.T. Coupling Drift-Flux Models with Unequal Sonic Speeds. Math. Comput. Appl. 2010, 15, 574-584.

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