A parallel adaptive method for simulating shock-induced combustion with detailed chemical kinetics in complex domains

An adaptive finite volume approach is presented to accurately simulate shock-induced combustion phenomena in gases, particularly detonation waves. The method uses a Cartesian mesh that is dynamically adapted to embedded geometries and flow features by using regular refinement patches. The discretisation is a reliable linearised Riemann solver for thermally perfect gas mixtures; detailed kinetics are considered in an operator splitting approach. Besides easily reproducible ignition problems, the capabilities of the method and its parallel implementation are quantified and demonstrated for fully resolved triple point structure investigations of Chapman–Jouguet detonations in low-pressure hydrogen–oxygen–argon mixtures in two and three space dimensions.