Numerical studies of the detonation-bow shock interaction

The interaction of a detonation with the bow shock generated by projectiles moving at supersonic speeds has applications in the fields of process and industrial safety. This problem involves a coupling between different compressible and reacting flow phenomena including shock-shock, shock-flame and shock-turbulence interactions. We study the detonation-bow shock interaction problem using AMRFCT, a code that solves the multidimensional, reacting flow conservation equations with a chemical-diffusive model (CDM) for conversion of fuel to products with energy release. The effect of obstacles is incorporated using a flux redistribution cut-cell method and AMRFCT is built on the AMReX framework for black-structured adaptive mesh refinement. First, we present preliminary results for the inviscid interaction of a detonation and a bow shock. Then, we show the effect of obstacles on the flow field and how it affects important detonation properties such as the propagation speed and cellular structure.