Assessment of WENO and TENO spatial discretizations for diffuse interface simulations of compressible two-phase flows, and their interplay with regularization terms

In this work, two popular ENO-like discretization schemes are evaluated for their applicability to simulation of compressible two-phase flows using a diffuse interface method. WENO and TENO have been previously shown to be robust for shocks and other flow discontinues - including material interfaces. In this work, in the framework of the four-equation two-phase model in conjunction with the stiffened gas equation of state, we assess the performance of WENO and TENO schemes for simulations of compressible two-phase flows. A particularly unique aspect of this work is in assessment of the WENO and TENO schemes coupled with recently developed conservative diffuse interface regularization terms. Recent studies using central-difference schemes have demonstrated that these regularization terms can maintain a constant interface thickness while guaranteeing boundedness of volume fraction and conservation properties that result in robustness of the two-phase flow solver even at large density ratios. Using multiple 1D and 2D test cases, WENO and TENO are evaluated with and without coupling to the diffuse interface regularization terms.