Modeling of acetylene detonation in a shock tube by the large particle method with TVD correction

Abstract

A one-dimensional TVD correction scheme is described, which can be successfully applied not only in 1D calculations, but also in 2D-3D modeling [1-2]. The advantage of the proposed scheme is the lack of solving matrix equations. The implementation of the scheme in conjunction with the large particle method was tested on the problems of arbitrary discontinuity breakup and strong point explosion. The modeling of acetylene combustion in a shock tube and its transition to detonation was performed depending on the conditions set on the surface of the tube, and the parameters of the problem.