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

Tore Flåtten; Svend Tollak Munkejord

ESAIM: Mathematical Modelling and Numerical Analysis (2006)

- Volume: 40, Issue: 4, page 735-764
- ISSN: 0764-583X

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topFlåtten, Tore, and Munkejord, Svend Tollak. "The approximate Riemann solver of Roe applied to a drift-flux two-phase flow model." ESAIM: Mathematical Modelling and Numerical Analysis 40.4 (2006): 735-764. <http://eudml.org/doc/249726>.

@article{Flåtten2006,

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.
},

author = {Flåtten, Tore, Munkejord, Svend Tollak},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Two-phase flow; drift-flux model; Riemann solver; Roe scheme.; Zuber-Findlay law; bubbly flows},

language = {eng},

month = {11},

number = {4},

pages = {735-764},

publisher = {EDP Sciences},

title = {The approximate Riemann solver of Roe applied to a drift-flux two-phase flow model},

url = {http://eudml.org/doc/249726},

volume = {40},

year = {2006},

}

TY - JOUR

AU - Flåtten, Tore

AU - Munkejord, Svend Tollak

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2006/11//

PB - EDP Sciences

VL - 40

IS - 4

SP - 735

EP - 764

AB -
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.

LA - eng

KW - Two-phase flow; drift-flux model; Riemann solver; Roe scheme.; Zuber-Findlay law; bubbly flows

UR - http://eudml.org/doc/249726

ER -

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