In this study, a stable and robust interface-capturing method is developed
to resolve inviscid, compressible two-fluid flows with general equation of state (EOS).
The governing equations consist of mass conservation equation for each fluid, momentum
and energy equations for mixture and an advection equation for volume fraction
of one fluid component. Assumption of pressure equilibrium across an interface is
used to close the model system. MUSCL-Hancock scheme is extended to construct
input states for Riemann problems, whose solutions are calculated using generalized
HLLC approximate Riemann solver. Adaptive mesh refinement (AMR) capability is
built into hydrodynamic code. The resulting method has some advantages. First, it is
very stable and robust, as the advection equation is handled properly. Second, general
equation of state can model more materials than simple EOSs such as ideal and
stiffened gas EOSs for example. In addition, AMR enables us to properly resolve flow
features at disparate scales. Finally, this method is quite simple, time-efficient and easy
to implement.