Coupling Drift-Flux Models with Unequal Sonic Speeds

Mapundi K. Banda; Michael Herty; Jean-Medard T. Ngnotchouye

doi:10.3390/mca15040574

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1 December 2010

Coupling Drift-Flux Models with Unequal Sonic Speeds

and

University of the Witwatersrand, Wits 2050, South Africa

RWTH-Aachen, D-52056 Aachen, Germany

University of KwaZulu-Natal, Scottsville 3209, South Africa

Authors to whom correspondence should be addressed.

Math. Comput. Appl.2010, 15(4), 574-584;https://doi.org/10.3390/mca15040574

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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

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