Abstract

A cylindrical cryogenic target containing deuterium fuel acts as an important surrogate to help understand implosion physics before the deuterium-tritium capability is brought online. Uniformity of the deuterium ice thickness is a key parameter for the inertial confinement fusion (ICF) experiments. Achieving and retaining a uniform deuterium ice layer in capsule without infrared radiation is difficult in engineering. The method used to calculate the ice thickness deviation of deuterium–tritium fuel is invalid when the bulk heat generation is equal to zero. Appearance solutions of the deuterium ice in steady state conclude that a uniform ice layer cannot be retained for long without infrared radiation. A transient algorithm by integrating heat transfer theory, the equation derived from Stefan problem and mass conservation with moving mesh technics in a finite element model can be applied to predict deuterium ice spherical symmetry degeneration. It is certified with good reliability by comparing the simulated results with theoretical and experimental data. As for the deuterium targets, the characteristics of linear approximation and integrability avert heavy work of moving mesh in analyses of stable and unstable scenarios. The work has great support for the cryogenic processing and engineering design of ICF targets.

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