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The approximate Riemann solver of Roe applied to a drift-flux two-phase flow model

Published online by Cambridge University Press:  15 November 2006

Tore Flåtten  and
Svend Tollak Munkejord
Tore Flåtten
Affiliation:
The International Research Institute of Stavanger, Prof. Olav Hanssensvei 15, Stavanger, Norway. Tore.Flaatten@irisresearch.no Current address: Centre of Mathematics for Applications, 1053 Blindern, 0316 Oslo, Norway.
Svend Tollak Munkejord
Affiliation:
Department of Energy and Process Engineering, Norwegian University of Science and Technology, Kolbjørn Hejes veg 1A, 7491 Trondheim, Norway. stm@pvv.ntnu.no
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Abstract

We construct a Roe-type numerical scheme for approximating the solutions of a drift-flux two-phase flow model. The model incorporates a set of highly complex closure laws, and the fluxes are generally not algebraic functions of the conserved variables. Hence, the classical approach of constructing a Roe solver by means of parameter vectors is unfeasible. Alternative approaches for analytically constructing the Roe solver are discussed, and a formulation of the Roe solver valid for general closure laws is derived. In particular, a fully analytical Roe matrix is obtained for the special case of the Zuber–Findlay law describing bubbly flows. First and second-order accurate versions of the scheme are demonstrated by numerical examples.

Keywords

Two-phase flowdrift-flux modelRiemann solverRoe scheme.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 40 , Issue 4 , July 2006 , pp. 735 - 764
Copyright
© EDP Sciences, SMAI, 2006

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