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A network model for incompressible two-fluid flow and its numerical solution. (English) Zbl 0669.76130
We consider an incompressible version of the two-fluid network model proposed by T. A. Porsching [ibid. 1, 295-313 (1985; Zbl 0637.76112)]. The system of equations governing the model is a mixed system of differential and algebraic equations (DAEs). These DAEs are then recast, through proper transformation, into a system of ordinary differential equations on a submanifold of \({\mathbb{R}}^ n\), for which uniqueness, existence, and stability theorems are proved. Numerical simulations are presented.

76T99 Multiphase and multicomponent flows
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