Computing Algorithms in Resonant Regime for a Two-phase Flow Model

Resonant regime in two-phase flow models causes tough problems for constructing computational Riemann solvers. The nonlinear algebraic equations that determine the states could be in implicit form. In this work, we develop computational algorithms for the states in Riemann solvers, which include a method of pattern search of the intersection points of composite wave curves associated with different characteristic fields. Numerical tests show that numerical schemes employing these algorithms provides us with a good accuracy. The schemes are also shown to be well-balanced in subsonic regions.