Abstract.This paper analyses the approach of using a two-pressure two-fluid model with instantaneous pressure relaxation, comparing it to the more traditional approach of using a single-pressure two-fluid model. To do that, the multi-stage centred (MUSTA) scheme for non-conservative two-fluid models of Munkejord, Evje and Flåtten [8] is applied to and tested for the two-pressure two-fluid model.

Within this framework, example calculations show that from a modelling point of view, using the two-pressure two-fluid model with instantaneous pressure relaxation is not different from using the single-pressure two-fluid model. From a computational point of view, however, the former approach has the significant disadvantage of introducing a large amount of numerical smearing.

Received: August 14, 2008

AMS Subject Classification: 76T10, 76M12, 65M12, 35L65

Key Words and Phrases: two-phase flow, two-fluid model, MUSTA scheme, pressure

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 50
Issue: 2