A hybrid, center-difference, limiter method for simulations of compressible multicomponent flows with Mie-Grüneisen equation of state

We develop an efficient spatially high-order, Cartesian-mesh, hybrid, center-difference, limiter methodology for numerical simulations of compressible multicomponent flows with isotropic Mie-Grüneisen equation of state. Effective switching between center-difference and limiter schemes is achieved by a set of robust tolerance and Lax-entropy based criterion [18]. Oscillations that could result from a mixed stencil scheme are minimized by requiring that the limiter method approaches the center-difference method in smooth regions. To achieve this the limiter is based on a norm of the deviation of WENO reconstruction weights from ideal. Results from a spatially 4th order version of the methodology are presented in one and two dimensions utilizing the California Institute of Technology’s VTF (Virtual Test Facility) AMROC [7] software.