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A numerical method using upwind schemes for the resolution of two-phase flows. (English) Zbl 0893.76052
Summary: This work is devoted to the numerical approximation of two-fluid flow models described by six balance equations. We introduce an original splitting technique which is especially derived to allow a straightforward extension to various and detailed exchange source terms. When based on suitable kinetic upwind schemes, the whole scheme preserves the positivity of all the thermodynamic variables under a fairly unrestrictive CFL like condition. Several stiff numerical tests, including phase separation, are displayed in order to highlight the efficiency of the method.

76M20 Finite difference methods applied to problems in fluid mechanics
76T99 Multiphase and multicomponent flows
Full Text: DOI
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