Coupling Drift-Flux Models with Unequal Sonic Speeds

[摘要] 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.

[学科分类] 计算数学

[关键词] Drift-flux;multi-component;compressible flow;Riemann Problem;flow networks;coupling conditions;compressibility factor