Accurate Numerical Simulation and Analysis of Multi-Dimensional Shock and Detonation Waves
Final rept. Jan 2008-Mar 2009
MASSACHUSETTS INST OF TECH CAMBRIDGE
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A new shock-fitting algorithm has been introduced for accurate computation of the dynamics ol mulli-dimensional detonations. First detailed verification of detonation stability theory in two dimensions. The algorithm has been extended to 1 multi-step chemistry, 2 non-ideal equation of state, and 3 radially expanding detonations. The algorithm is proposed as a new tool for direct numerical compulation of detonation instability as an alternative for analytically and numerically tedious normal-mode calculations of detonation stability theory. In addition to the numerical algorithm for detonationshock simulations, we have also pioneered several detonation analogs including traffic shocks and hydraulic jumps that share similar but simpler mathematical structure as the detonation wave. The study of analogs is expected to help gain insight into the more difficult problem of detonation dynamics.