Banda, M.K. (Mapundi)Herty, MichaelNgnotchouye, Jean Medard T.2014-10-022014-10-022015-03Banda, MK, Herty, M & Ngnotchouye, JMT 2015, 'On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections', Journal of Computational and Applied Mathematics, vol. 276, pp. 81-97.0377-0427 (print)1879-1778 (online)10.1016/j.cam.2014.08.021http://hdl.handle.net/2263/42178In this paper a general drift-flux model describing a subsonic and isentropic multi-phase fluid in connected pipes is considered. Each phase is assumed to be isentropic with its own sonic speed. The components are gamma-law gases with γ > 1. For such, a computational challenge at a junction is the computation of rarefaction waves which do not have a readily available analytical form. Firstly, the well-posedness of the Riemann problem at the junction is discussed. It is suggested that rarefaction waves should be linearized in order to obtain a more efficient numerical method for coupling such multi-component flow. Some computational results on the dynamics of the multi-phase gas in the pipes demonstrate the qualitative behavior of this approach.en© 2014 Elsevier B.V. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and Applied Mathematics, vol.276, pp. 81-97, 2015. doi : 10.1016/j.cam.2014.08.021.Drift-flux modelMultiphase flowsNetwork flowSystems of conservation lawsPostprint Article