A numerical model of rupture formation in a bubbly liquid under pulsed loading

Abstract

In this study, a new numerical model based on the method of particles in cells, which differs in principle from the schematic of particles in Harlow cells by the fact that the particles have their own velocity and, therefore, boundaries with a vacuum are not spread, is proposed for the first time. The model makes it possible to pass the stage of the “continuous” transition to rupture development and description of the dynamics of the further state of its “banks.” Based on the Iordansky–Kogarko–van Wijngaarden mathematical model (IKW model), the formation of rupture and its further dynamics in the bubble fluid layer in the jump region of the mass velocity is numerically investigated using the proposed method. The dynamics of the state of the medium on both rupture “banks” is calculated including the structure of the rarefaction waves, fields of mass velocity and density, and cavitation development in the time range up to 2 μs when the subsequent dynamics of the layer succumbs to the prognosis.