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. We construct,a Roe-type numerical,scheme,for approximating,the solutions,of a drift-ux two-phase o w model. The model incorporates a set of highly complex closure laws, and the uxes 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 ZuberFindla y law,describing bubbly,o ws. First and,second-order,accurate,versions of the scheme,are demonstrated,by numerical,ex- amples. subject classication. 76T10, 76M12, 35L65 key words. two-phase o w, drift-ux model, Riemann solver, Roe scheme

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