The multi-stage centred-scheme approach applied to a drift-flux two-phase flow model. (English) Zbl 1113.76057
Summary: For two-phase flow models, upwind schemes are most often difficult do derive, and expensive to use. Centred schemes, on the other hand, are simple, but more dissipative. The recently proposed multi-stage (MUSTA) method is aimed at coming close to the accuracy of upwind schemes while retaining the simplicity of centred schemes. So far, the MUSTA approach has been shown to work well for Euler equations of inviscid, compressible single-phase flow. In this work, we explore the MUSTA scheme for a more complex system of equations: the drift-flux model, which describes one-dimensional two-phase flow where the motions of phases are strongly coupled. As the number of stages is increased, the results of MUSTA scheme approach those of Roe method. The good results of MUSTA scheme are dependent on the use of a large-enough local grid. Hence, the main benefit of MUSTA scheme is its simplicity, rather than CPU-time savings.
MSC:
| 76M12 | Finite volume methods applied to problems in fluid mechanics |
| 76T10 | Liquid-gas two-phase flows, bubbly flows |
Software:
AUSMReferences:
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