  In this paper we propose a new acoustic-convective splitting-based numerical
scheme for the Kapila five-equation two-phase flow model. The splitting
operator decouples the acoustic waves and convective waves. The resulting two
submodels are alternately numerically solved to approximate the solution of the
entire model. The Lagrangian form of the acoustic submodel is numerically
solved using an HLLC-type Riemann solver whereas the convective part is
approximated with an upwind scheme. The result is a simple method which allows
for a general equation of state. Numerical computations are performed for
standard two-phase shock tube problems. A comparison is made with a
non-splitting approach. The results are in good agreement with reference
results and exact solutions.
