Pulsating one-dimensional detonation in ammonia-hydrogen–air mixtures

Numerical Resolution of Pulsating Detonation Waves

On the One-dimensional Stability of Viscous Strong Detonation Waves

Building on Evans function techniques developed to study the stability of viscous shocks, we examine the stability of viscous strong detonation wave solutions of the reacting Navier-Stokes equations. The primary result, following [1, 17], is the calculation of a stability index whose sign determines a necessary condition for spectral stability. We show that for an ideal gas this index can be ev...

Highly Accurate Numerical Simulations of Pulsating One-Dimensional Detonations

A novel, highly accurate numerical scheme based on shock-fitting coupled with high order spatial and temporal discretization is applied to a classical unsteady detonation problem to generate solutions with unprecedented accuracy. The one-dimensional reactive Euler equations for a calorically perfect mixture of ideal gases whose reaction is described by single-step irreversible Arrhenius kinetic...

The chemical-gas dynamic mechanisms of pulsating detonation wave instability

The chemical-gas dynamic mechanisms behind the instability and failure of a onedimensional pulsating detonation wave driven by a three-step chain-branching reaction are revealed by direct numerical simulation. Two types of pulsating instability observed experimentally are explained. The first involves regular oscillations of the detonation front, where the instability is driven by low-frequency...

Luttinger liquid of polarons in one-dimensional boson-fermion mixtures.

We use the bosonization approach to investigate quantum phases of boson-fermion mixtures (BFM) of atoms confined to one dimension by an anisotropic optical lattice. For a BFM with a single species of fermions we find a charge-density wave phase, a fermion pairing phase, and a phase separation regime. We also obtain the rich phase diagram of a BFM with two species of fermions. We demonstrate tha...