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Global Existence of Smooth Solutions for the Diffusion Approximation Model of General Gas in radiation hydrodynamics

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Acta Mathematica Sinica,English Series 2023年第10期39卷 1855-1873页

作者： Hyejong KIM Hakho HONG Jongsung KIM Graduate School Kim Hyong Jik University of EducationPyongyangDemocratic People’s Republic of Korea Institute of Mathematics State Academy of SciencesPyongyangDemocratic People’s Republic of Korea School of Mathematics University of Mechanical Engineering PyongyangPyongyangDemocratic People’s Republic of Korea

In this paper,we consider the 3-D Cauchy problem for the diffusion approximation model in radiation hydrodynamics.The existence and uniqueness of global solutions is proved in perturbation framework,for more general gases including ideal poly tropic gas.Moreover,the optimal time decay rates are obtained for higher-order spatial derivatives of density,velocity,temperature,and radiation field.

关键词： radiation hydrodynamics diffusion approximation model existence convergence rate

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A Colocalized Scheme for Three-Temperature Grey Diffusion radiation hydrodynamics

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Communications in Computational Physics 2022年第1期31卷 293-330页

作者： R.Chauvin S.Guisset B.Manach-Perennou L.Martaud CEA DAMDIFF-91297 ArpajonFrance

A positivity-preserving, conservative and entropic numerical scheme is presented for the three-temperature grey diffusion radiation hydrodynamics model. Moreprecisely, the dissipation matrices of the colocalized semi-Lagrangian scheme are de-fined in order to enforce the entropy production on each species (electron or ion) proportionally to its mass as prescribed in [34]. A reformulation of the model is then considered to enable the derivation of a robust convex combination based scheme. Thisyields the positivity-preserving property at each sub-iteration of the algorithm whilethe total energy conservation is reached at convergence. Numerous pure hydrodynamics and radiation hydrodynamics test cases are carried out to assess the accuracy of themethod. The question of the stability of the scheme is also addressed. It is observedthat the present numerical method is particularly robust.

关键词： Colocalized Lagrangian scheme radiation hydrodynamics grey diffusion discrete entropy production plasma physics simulations

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ON LOCAL STRUCTURAL STABILITY OF ONE-DIMENSIONAL SHOCKS IN radiation hydrodynamics

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Acta Mathematica Scientia 2015年第1期35卷 1-44页

作者：唐平凡方北香王亚光 Department of Mathematics and MOE-LSC Shanghai Jiao Tong University

In this paper, we are concerned with the local structural stability of one-dimensional shock waves in radiation hydrodynamics described by the isentropic Euler-Boltzmann equations. Even though in this radiation hydrodynamics model, the radiative effects can be understood as source terms to the isentropic Euler equations of hydrodynamics, in general the radiation field has singularities propagated in an angular domain issuing from the initial point across which the density is discontinuous. This is the major difficulty in the stability analysis of shocks. Under certain assumptions on the radiation parameters, we show there exists a local weak solution to the initial value problem of the one dimensional Euler-Boltzmann equations, in which the radiation intensity is continuous, while the density and velocity are piecewise Lipschitz continuous with a strong discontinuity representing the shock-front. The existence of such a solution indicates that shock waves are structurally stable, at least local in time, in radiation hydrodynamics.

关键词： radiation hydrodynamics Euler-Boltzmann equations Riemann problems shock waves

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Generation of a sharp density increase in radiation transport between high-Z and low-Z plasmas

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Matter and radiation at Extremes 2016年第5期1卷 249-256页

作者： Guangwei Meng Jianguo Wang Xuerong Wang Jinghong Li Weiyan Zhang Institute of Applied Physics and Computational Mathematics Beijing 10094China Laboratory of Computational Physics Beijing 100088China National Hi-Tech Inertial Confinement Fusion Committee of China Beijing 100088China

A sharp density increase(referred to as density incrustation)of the Au plasmas in the radiative cooling process of high-Z Au plasmas confined by low-Z CH plasmas is found through the radiative hydrodynamic simulations.The temperature of Au plasmas changes obviously in the cooling layer while the pressure remains constant.Consequently,the Au plasmas in the cooling layer are compressed,and the density incrustation is formed.It is also shown that when the high-Z plasma opacity decreases or the low-Z plasma opacity increases,the peak density of the density incrustation becomes lower and the thickness of the density incrustation becomes wider.This phenomenon is crucial to the Ray-leigheTaylor instability at the interface of high-Z and low-Z plasmas,since the density variation of Au plasmas has a considerable influence on the Atwood number of the interface.

关键词： Density incrustation radiation hydrodynamics Opacity

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Macroscopic lasereplasma interaction under strong non-local transport conditions for coupled matter and radiation

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Matter and radiation at Extremes 2018年第3期3卷 110-126页

作者： J.Nikl M.Holec M.Zeman M.Kucharík J.Limpouch S.Weber ELI-Beamlines Institute of PhysicsAcademy of Sciences of the Czech Republic18221 PragueCzech Republic Faculty of Nuclear Sciences and Physical Engineering Czech Technical University11519 PragueCzech Republic Centre Lasers Intenses et Applications Universite de Bordeaux-CNRS-CEAUMR 5107F-33405 TalenceFrance

Reliable simulations of laseretarget interaction on the macroscopic scale are burdened by the fact that the energy transport is very often non-local.This means that the mean-free-path of the transported species is larger than the local gradient scale lengths and transport can be no longer considered diffusive.Kinetic simulations are not a feasible option due to tremendous computational demands,limited validity of the collisional operators and inaccurate treatment of thermal radiation.This is the point where hydrodynamic codes with non-local radiation and electron heat transport based on first principles emerge.The simulation code PETE(Plasma Euler and Transport Equations)combines both of them with a laser absorption method based on the Helmholtz equation and a radiation diffusion scheme presented in this article.In the case of modelling ablation processes it can be observed that both,thermal and radiative,transport processes are strongly non-local for laser intensities of 10^(13) W=cm^(2) and above.In this paper simulations for various laser intensities and different ablator materials are presented,where the non-local and diffusive treatments of radiation transport are compared.Significant discrepancies are observed,supporting importance of non-local transport for inertial confinement fusion related studies as well as for pre-pulse generated plasma in ultra-high intensity laseretarget interaction.

关键词： Inertial confinement fusion Lasereplasma interaction radiation hydrodynamics Transport theory

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