Nonlocal Electron Heat Conduction for Radiation Hydrodynamics Code

doi:10.19596/j.cnki.1001-246x.8616

Abstract

Abstract:

Accurate electron heat conduction model is essential for understanding energy transport and dissipation during inertial confinement fusion and celestial burst process, and guiding the design of fusion capsule and experiment design of laboratory astrophysics. We successfully couple the non-local electron heat conduction model to the radiation hydrodynamics code, the simulation results of which in two analytical tests are basically consistent with the results calculated by the Fokker-Planck code. Applying the coupled code to the interaction between nanosecond laser and solid targets, we find that the non-local effect is mainly manifest in the time-dependent flux limited effect of the coronal critical surface in the early stage and the gradually enhanced preheating effect of the ablation surface in the late stage. These results are of great significance to clearly understand the laser energy deposition and transmission, and the generation and development of hydrodynamic instability in inertial confinement fusion, especially in direct drive.

Key words: nonlocal electron heat conduct, Schurtz-Nicola?-Busquet model, flux limited effect, preheat

Wenqiang YUAN, Zhonghai ZHAO, Bin QIAO. Nonlocal Electron Heat Conduction for Radiation Hydrodynamics Code[J]. Chinese Journal of Computational Physics, 2023, 40(2): 232-240.

Figures/Tables 4

Fig.1 Results of Epperlein-Short test (a) evolution of temperature perturbation, decay of temperature perturbation obtained by SNB, SH and FP models when (b) kλei=0.011, (c) kλei=0.056, respectively; (d) the relationship between the deviation κ/κSH of the non-local heat conduction coefficient and the classical coefficient and the characteristic non-local parameter kλei. (The solid black line represents the analytical fitting result, κFP/κSH=1/(1+50kλei) in Ref.[20].)

Fig.2 Simulation results of heat-bath problem, (a), (b) are spatial distributions of electron temperature and heat flux of low Z material (Z = 2) under different models (SNB, SH, FP), where the pink curve in (a) is the initial temperature distribution with the other curves at 80 ps and subgraph in (b) shows the distribution of the non-local parameter α; (c) and (d) are the corresponding graphs of high Z material (Z = 50)

Fig.3 Schematic diagram of ns laser interaction with solids (According to the different dominant physics, it is divided into three interfaces and four regions: coronal region, critical surface, conduction zone, ablation surface, shocked ablator, shock front, and unshocked material.)

Fig.4 Simulation results of laser-plastic interaction (a) Electron temperature and number density distribution of corona under SNB, time-dependent limiting f and f = 0.06 models at 0.1 ns. (The red line represents temperature and the blue line represents number density.); (b) flux limited factor of conduction zone at 0.1 ns under SNB and SH models; (c) distribution of electron temperature and fluid density near the critical density surface at 1 ns; (d) the evolution of flux limited factor f at critical surface and the preheating effect at ablation surface; (e) map of electron temperature in 2D simulation with SNB model, where the solid lines are temperature contours while dashed lines are corresponding contours in simulations with f = 0.06 model; (f) profiles of electron temperature and Knudsen number at 0.2, 0.5 and 1.0 ns along the central axis of 2D simulations

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