An improved diffuse interface model for the numerical simulation of interaction between solid explosive detonation and inert media

YU Ming

doi:10.11883/bzycj-2019-0435

Volume 40 Issue 10

Oct. 2020

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ZHOU Hong-qiang, ZHANG Feng-guo. Theplasticexpansionanddeformationofacylindershell[J]. Explosion And Shock Waves, 2012, 32(1): 91-96. doi: 10.11883/1001-1455(2012)01-0091-06

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YU Ming. An improved diffuse interface model for the numerical simulation of interaction between solid explosive detonation and inert media[J]. Explosion And Shock Waves, 2020, 40(10): 104202. doi: 10.11883/bzycj-2019-0435

ZHOU Hong-qiang, ZHANG Feng-guo. Theplasticexpansionanddeformationofacylindershell[J]. Explosion And Shock Waves, 2012, 32(1): 91-96. doi: 10.11883/1001-1455(2012)01-0091-06

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An improved diffuse interface model for the numerical simulation of interaction between solid explosive detonation and inert media

doi: 10.11883/bzycj-2019-0435

YU Ming^{1, 2
,}

1.
Center for Applied Physics and Technology, Peking University, Beijing 100871, China
2.
Key Laboratory for Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100083, China

Received Date: 2019-11-18
Rev Recd Date: 2020-06-12

Available Online: 2020-09-25

Publish Date: 2020-10-05

Abstract

Abstract

In the article a thermodynamically consistent diffuse interface model is proposed in order to numerically simulate the interaction between solid explosive detonation and compressible inert media. The chemical reaction of detonation course in solid explosive is simplified as the solid-phase reactant changing into the gas-phase product, thus the mixture within a control volume is regarded to be composed by three kinds of components: solid-phase reactant, gas-phase product and inert media, and all components are thought to be in mechanical equilibrium and thermal nonequilibrium because of their having distinct thermodynamic properties or equations of state. The starting point based on the energy conservation of the mixture and pressure equivalence among components within the control volume is adopted to derive the evolution equation for volume fraction of every component, in which the equation for energy conservation of the mixture is decomposed into a family of equations for energy conservation of the all components with the heat exchange resulting from thermal nonequilibrium. Thus, the governing equations of proposed diffuse interface model include: the conservation equation for mass of every component and the conservation equations for momentum and total energy of the mixture, and the evolution equations for volume fraction of every component and for pressure of the mixture. The important character of the present model is that the mass transfer due to chemical reaction and the heat exchange due to thermal nonequilibrium are involved. In this model, pressure is solved directly from the governing equations instead of computed next from the obtained conservative variables. The present model may apply to arbitrary expression of equation of state and allow for any number of inert media. The partially differential governing equations of the diffuse interface model are numerically solved by a temporal-spatial second-order Godunov-type finite volume scheme with wave propagation algorithm. From numerical examples, the proposed diffuse interface model can eliminate the unphysical oscillations near the material interfaces, and obtain the agreeable results with the physical mechanism.
- diffuse interface model,
- solid explosive detonation,
- multimaterial flow,
- thermal nonequilibrium,
- multiphase flow model

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References

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