Hyperbolic two-pressure models for two-phase flow revisited

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This paper presents corrections to a previous paper (J. Comput. Phys. 53 (1984), 124) on stability analyses of one-pressure models for two-phase flow. It also presents some extensions and generalizations of previous work on two-pressure models. The extensions allow both the slopes to the interfaces and the rates of mass transfer through the interfaces to be non-negligible. These enlargements of the domain of applicability of the two-pressure models introduce extra derivative terms into the models. These extra derivative terms do not change the basic character of the model. The two-pressure models remain stable in the sense von Neumann a.e. in state space with the more complete modelling of the interface. © 1988.

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Journal of Computational Physics