  An incremental-stencil WENO reconstruction method, which uses low-order
candidate stencils with incrementally increasing width, is proposed for
finite-volume simulation of compressible two-phase flow with the
quasi-conservative interface model. While recovering the original 5th-order
WENO reconstruction in smooth region of the solution, due to the presence of
2-point candidate stencils, the present method is able to handle closely
located discontinuities, which is a typical scenario of shock-interface
interaction. Furthermore, a MOOD-type positivity preserving approach is applied
to ensure physical meaningful reconstruction. Compared with the hybrid method
which switches between with the 5th-order WENO and 2nd-order reconstructions,
the present method is free of problem-dependent tunable parameters. A number of
numerical examples show that the present method achieves small numerical
dissipation and good robustness for simulating two-phase flow problems with
strong shock-interface interaction and large density ratio.
