Numerical study of the effect of the parameters of a bulk layer and an incident shock wave on the pressure at a shielded flat wall

Numerical study of the transfer of shock-wave loading to a screened flat wall through a layer of a powdered medium and a subsequent air gap

“…Kutushev et al [21][22][23][24] used the assumption of a nonlinear-elastic behavior of the "skeleton" of the porous medium with the equation of state [33] and numerically integrated the equations of motion of the gaseous and disperse phases by the method of coarse particles by the algorithm developed in [34]. Gubaidullin et al [25][26][27][28][29][30][31][32] used the assumption of the linear-viscoelastic deformation of the powder skeleton by the scheme proposed in [35], and the numerical solution of the equations of motion of the phases of the medium saturated by a gas was performed by the LaxWendroff method [30,32].…”

“…The theoretical activities [21][22][23][24][25][26][27][28][29][30][31][32] were aimed at a detailed study of the action of a shock wave on a solid flat wall screened by a layer of a porous powdered medium with the use of various models of two-velocity, two-temperature, two-stress contact mixtures of a gas and solid particles. Kutushev et al [21][22][23][24] used the assumption of a nonlinear-elastic behavior of the "skeleton" of the porous medium with the equation of state [33] and numerically integrated the equations of motion of the gaseous and disperse phases by the method of coarse particles by the algorithm developed in [34].…”

Modelling of the impact of air shock wave on obstacle covered by porous screen

“…This problem was analyzed theoretically in Gvozdeva et al (1986Gvozdeva et al ( , 1987; Kutushev et al (1993Kutushev et al ( , 1999; Levy et al (1996). In Gvozdeva et al (1986Gvozdeva et al ( , 1987, the gas-saturated porous medium was simulated in one-velocity approximation by a gas suspension of solid non-interacting microparticles.…”

“…In Kutushev et al (1993Kutushev et al ( , 1999; Levy et al (1996), the effects of the differences between the phase velocities and the phase pressures as well as the effects of the interphase force and thermal interaction were taken into account. This approach allows not only the qualitative but also quantitative description of the wave phenomena, in particular, the prediction of the total stress, the gas pressure, and the reduced stress at the obstacle.…”

“…It should be mentioned that these models are not closed, i.e., they contain empirical model parameters. In Kutushev et al (1993Kutushev et al ( , 1999, the first-order accuracy numerical method of ''big particles'' was used for calculation of the porous powdery medium motion, that is the two-phase mixture of gas and interacting solid particles. In order to eliminate numerical instabilities, the local artificial viscosities were added.…”