A numerical method using upwind schemes for the resolution of two-phase flows

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 we propose. (C) 1997 Academic Press.