  We present in this work a new reconstruction scheme, so-called
MUSCL-THINC-BVD scheme, to solve the five-equation model for interfacial two
phase flows. This scheme employs the traditional shock capturing MUSCL
(Monotone Upstream-centered Schemes for Conservation Law) scheme as well as the
interface sharpening THINC (Tangent of Hyperbola for INterface Capturing)
scheme as two building-blocks of spatial reconstruction using the BVD (boundary
variation diminishing) principle that minimizes the variations (jumps) of the
reconstructed variables at cell boundaries, and thus effectively reduces the
numerical dissipations in numerical solutions. The MUSCL-THINC-BVD scheme is
implemented to all state variables and volume fraction, which realizes the
consistency among volume fraction and other physical variables. Benchmark tests
are carried out to verify the capability of the present method in capturing the
material interface as a well-defined sharp jump in volume fraction, as well as
significant improvement in solution quality. The proposed scheme is a simple
and effective method of practical significance for simulating compressible
interfacial multiphase flows.
