Numerical simulation of a normally incident shock wave – dense particles layer interaction using the Godunov solver for the Baer–Nunziato equations

Poroshyna, Ya. E.; Utkin, P. S.

doi:10.1016/j.ijmultiphaseflow.2021.103718

Cited by 14 publications

(11 citation statements)

References 46 publications

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“…Formulas for the second and third stages are direct generalizations of the approach from our previous work 6 to the two-dimensional case. The effect of irreversible compaction of the layer was not taken into account this time.…”

Section: Methodsmentioning

confidence: 99%

“…Not many works address the issues of the application of Baer-Nunziato-type models to particulate two-phase flows. We utilized the direct generalization of the model used in our previous paper 6 for the two-dimensional case. The two-dimensional model in use is very close to that in the paper 2 .…”

Section: Mathematical Modelmentioning

confidence: 99%

“…These parameters of the stiffened-gas equation of state for the particles were obtained in our previous work 14 on the basis of a parametric study of the problem of the interaction of a shock wave with a dense cloud of particles, which corresponded to the experiments 15 . They were also used in our previous work 6 devoted to the numerical simulation of a normally incident shock wave -dense particle layer interaction.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Here, 𝐵(𝛼 ̅) is the potential energy of compaction, 𝑎 and 𝑛 are the parameters of the compaction law, which are characteristics of the material, 𝛼 ̅ crit is the volume fraction of the dispersed phase, upon reaching which compaction is switched on and 𝐵(𝛼 ̅) becomes nonzero. The following values of the parameters in the compaction law are chosen, close to those used in our previous work 6 in which the experiment 17 was simulated:…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In contrast to the problem of the normal incidence of a shock wave on a layer of particles, which has been studied extensively for many years both experimentally and numerically, see the references in Ref. 6, earlier alluded papers 1,2,5 were devoted to the study of the multidimensional effects of a shock waveparticle layer interaction. The work of Fan et al 7 (as well as the earlier mentioned paper of Khomik et al 1 ) contains rare experimental data that can be used to verify multidimensional two-phase models for shock waveparticle layer interaction.…”

Section: Introductionmentioning

confidence: 99%

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Numerical simulation of shock wave – dense particles cloud interaction using Godunov solver for Baer–Nunziato equations

Utkin

2019

HFF

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Purpose This paper aims to clarify some aspects of the application of the Godunov method for the Baer–Nunziato equations solution on the example of the problem of shock wave – dense particles cloud interaction. Design/methodology/approach The statement of the problem corresponds to the natural experiment. Mathematical model is based on the Baer–Nunziato system of equations with algebraic right-hand side source terms that takes into account the interphase friction force. Two numerical approaches are used: Harten-Lax-van Leer method and Godunov method. Findings For the robust simulation using Godunov method, the application of the pressure relaxation procedure is proposed. The comparative analysis of the simulation results using two methods is carried out. The Godunov method provides significantly smaller numerical diffusion of the solid phase volume fraction in the cloud that leads to the much better agreement of the pressure curves on transducers and the dynamics of the cloud motion with the experimental data. Originality/value Godunov method for the Baer–Nunziato equations is applied for the simulation of the natural experiment on the shock wave particles cloud interaction. Up to now, the examples of the application of the Godunov method for the Baer–Nunziato equations to the investigation of the practical problems have been limited by the works of the authors of the method and the field of detonation in the heterogeneous explosives. For the robust simulations in the presence of interphase boundaries, it is proposed to use the Godunov method together with the pressure relaxation procedure.

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Section: Methodsmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%