Adaptive high‐resolution simulation of realistic gaseous detonation waves

Abstract

The numerical approximation of detonation waves in gaseous combustible mixtures is extremely demanding since a wide range of scales needs to be resolved. A dynamically adaptive high-resolution finite volume method is described that has enabled accurately resolved computational investigations of the transient behavior of regularly oscillating detonations in lowpressure hydrogen-oxygen mixtures in realistic two-dimensional geometry.

Deformation and fracture of cylindrical tubes under detonation loading: A review of numerical and experimental analyses

“…From the numerical perspective, although different works modeled detonation-driven fracture using the FSI approach [23][24][25][26][27][28][29][30][114][115][116][117][118], the majority of these results do not match well with the experimental results. However, coupled investigations delivered results closer to experimental studies when compared to decoupled investigations.…”

“…In some fluid-structure interaction (FSI) detonation models, hydrostatic pressure is obtained using the equationof-state of the gas based on its density (ρ) and specific internal energy (e). This approach was used by Cirak et al [23], Deiterding [24,25,26], Deiterding et al [27,28,29], and Du et al [30] as follows: (7) ( 1) P e…”

Multi-Dimensional Adaptive Simulation of Shock-Induced Detonation in a Shock Tube

“…The need to resolve the chemical kinetics so as to properly capture the ZND structure creates enormous numerical difficulties. [8,9] In this paper, the Euler equations with chemically reacting source terms are solved with a finite volume scheme. The chemical reactions introduce small scales which lead to numerical stiffness, requiring grids of high resolution.…”

“…The reverse reaction rates can be calculated by assuming the corresponding chemical reaction to be in chemical equilibrium, though detonation simulations require mechanisms that utilize non-equilibrium reaction rates for some of the reactions. [9]…”