The Realization of Non-reflecting Boundaries for Compressible Rayleigh-Taylor Flows with Variable Acceleration Histories

The Navier-Stokes characteristic boundary conditions (NSCBC) approach is extended to compressible Rayleigh-Taylor flow (CRT-F) with variable acceleration histories, whose time- and space- dependent open boundaries challenge the available methods. The non-reflecting boundary conditions are realized by combining CRTF's physical boundary conditions and NSCBC's idea, and by appending a dissipation region, where physics-consistent viscous terms are introduced to realize non-reflection without additional effect. Numerical tests confirm the effectiveness and robustness of newly proposed schemes.