Numerical Analysis of Converging Shock Waves in Concentric Solid Layer

Nagayama, Kazuaki; Murakami, T.

doi:10.1143/jpsj.40.1479

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Cited by 5 publications

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“…where 0 = γ 0 − 1 represents the Grüneisen coefficient at V = V 0 , γ 0 > 1 is the usual definition of the ratio of specific heats, and α ∈ [35] for an example of solids).…”

Section: Equations Of Statementioning

confidence: 99%

A Fluid-Mixture Type Algorithm for Compressible Multicomponent Flow with Mie–Grüneisen Equation of State

Shyue

2001

Journal of Computational Physics

158

168

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“…where 0 = γ 0 − 1 represents the Grüneisen coefficient at V = V 0 , γ 0 > 1 is the usual definition of the ratio of specific heats, and α ∈ [35] for an example of solids).…”

Section: Equations Of Statementioning

confidence: 99%

A Fluid-Mixture Type Algorithm for Compressible Multicomponent Flow with Mie–Grüneisen Equation of State

Shyue

2001

Journal of Computational Physics

158

168

View full text Add to dashboard Cite

On the shock dynamics of weak converging shock waves in solid materials

Anand

2020

Ricerche mat

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Numerical simulation of cylindrical converging shocks in solids

Hiroe

Matsuo

Fujiwara

1992

Journal of Applied Physics

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Cylindrically converging shock waves in solids have been analyzed by the random choice method (RCM). A Riemann solver for fluidlike solids with the Grüneisen-type equation of state is constructed and incorporated into the RCM. It is then applied to the cylindrical shock tube problems for solid copper with driving pressures of 20 and 200 GPa. The numerical results are compared with those of the finite difference method (FDM). The shock speed is smaller and the discontinuity at the shock front is smeared out due to the artificial viscosity in the FDM calculation. Spatial distributions of pressure, density, and particle velocity calculated by the RCM show that the steepness at the shock front is maintained both in the converging and reflecting stages. It is shown that the pressure on the shock front and the total energy contained in the central circular area are much larger in the reflecting stage than in the focusing stage. The dimensional analysis has shown that the similarity solution exists; however the numerical result shows that the flow does not fall within the similarity regime in the region of calculation. It suggests that the self-similar flow is only limited in extreme proximity to the axis.

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Numerical Analysis of Converging Shock Waves in Concentric Solid Layer

Cited by 5 publications

References 3 publications

A Fluid-Mixture Type Algorithm for Compressible Multicomponent Flow with Mie–Grüneisen Equation of State

A Fluid-Mixture Type Algorithm for Compressible Multicomponent Flow with Mie–Grüneisen Equation of State

On the shock dynamics of weak converging shock waves in solid materials

Numerical simulation of cylindrical converging shocks in solids

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