Three-dimensional inert and reactive shock-interface interactions: statistical flow characterisations

ABSTRACT

Three-dimensional inert and reactive shock-interface interactions are simulated by solving NS equation with ninth-order WENO scheme. An initial planar shock wave with Mach number 1.7 accelerates a single mode and finite thickness interface with initial wavelength 4 mm and amplitude 0.4 mm from the reactant composed of C₂H₄+3O₂+4N₂. Then the transmitting shock branch is reflected at the end boundary to be the first reflected shock which disturbs the flame generating a transmitting shock branch and a reflected shock branch across the interface. This reflected shock branch reflects at the end boundary and accelerates the interface again. The simulation includes successive shock-interface interactions and a decaying period. Temporal and regional characterisations are presented, including Mach number, sound speed, kinetic energy and enstrophy. Furthermore, statistical characterisations of velocity and vorticity are conducted both in spatial space and wavenumber space. Based on these characterisations, there is a discussion of effects on vorticity generation, in terms of baroclinic effect, strain effect and physical viscous effect. In addition, comparisons between inert and reactive shock-flame interactions are made to examine the contribution of reaction.

KEYWORDS:

• Inhomogeneity
• similarity
• Richtmyer-Meshkov instability
• shock-interface interaction

ORCID

Dandan Wang http://orcid.org/0000-0002-2898-8159

Additional information

Funding

This work is supported by the National Natural Science Foundation of China [grant number 11872213].