Weighted ghost fluid discontinuous Galerkin method for two-medium problems

A new interface treating method is proposed to simulate compressible two-medium problems with the Runge-Kutta discontinuous Galerkin (RKDG) method. In present work, both Euler equation and level-set are discretized RKDG which compact of high-order accuracy. The linearized inside an cell recovered by function. solution this taken as a convex combination two auxiliary solutions. One obtained for single-medium proper numerical fluxes, other one intermediate state Riemann problem constructed in normal direction. weights solutions carefully chosen according location cell. Thus, it ensures smooth transition when leaves enters neighboring entropy-fix technique adopted minimize overshoots or undershoots large entropy ratio across interface. scheme justified 1-dimensional situation extended 2-dimensional problems. Several problems, including examples, simulated compared exact Also, three benchmark validate