Research Article

The multi-stage centred-scheme approach applied to a drift-flux two-phase flow model

  1. Svend Tollak Munkejord1,*,
  2. Steinar Evje2,
  3. Tore Flåtten2,†

Article first published online: 13 MAR 2006

DOI: 10.1002/fld.1200

Issue

International Journal for Numerical Methods in Fluids

International Journal for Numerical Methods in Fluids

Volume 52, Issue 6, pages 679–705, 30 October 2006

Additional Information

How to Cite

Munkejord, S. T., Evje, S. and Flåtten, T. (2006), The multi-stage centred-scheme approach applied to a drift-flux two-phase flow model. International Journal for Numerical Methods in Fluids, 52: 679–705. doi: 10.1002/fld.1200

Author Information

  1. 1

    Norwegian University of Science and Technology (NTNU), Department of Energy and Process Engineering, Kolbjørn Hejes veg 1A, NO-7491 Trondheim, Norway

  2. 2

    International Research Institute of Stavanger (IRIS), Prof. Hanssensvei 15, Stavanger, Norway

  1. †

    Centre of Mathematics for Applications, 1053 Blindern, NO-0316 Oslo, Norway

*NTNU, Department of Energy and Process Engineering, Kolbjørn Hejes veg 1A, NO-7491 Trondheim, Norway

Publication History

  1. Issue published online: 21 SEP 2006
  2. Article first published online: 13 MAR 2006
  3. Manuscript Accepted: 22 JAN 2006
  4. Manuscript Revised: 19 JAN 2006
  5. Manuscript Received: 24 OCT 2005

Funded by

  • Research Council of Norway

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Keywords:

  • two-phase flow;
  • drift-flux model;
  • MUSTA scheme;
  • centred scheme

Abstract

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 the 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 the phases are strongly coupled. As the number of stages is increased, the results of the MUSTA scheme approach those of the Roe method. The good results of the MUSTA scheme are dependent on the use of a large-enough local grid. Hence, the main benefit of the MUSTA scheme is its simplicity, rather than CPU-time savings. Copyright © 2006 John Wiley & Sons, Ltd.

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